Physics-
General
Easy
Question
An infinitely long wire is bent in the form of a semicircle at the end as shown in the figure. It carries current I along abcdo. If radius of the semicircle be R, then the magnetic field at 'O' which is the center of the circular part is,
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)
The correct answer is: ![fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction fraction numerator I over denominator R end fraction left parenthesis pi plus 1 right parenthesis](data:image/png;base64,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)
Related Questions to study
Physics-
Two wires A and B are of lengths 40cm and 30cm. A is bent into a circle of radius r and B into an arc of radius r. A current
is passed through A and
through B. To have the same magnetic inductions at the centre, the ratio of
is
Two wires A and B are of lengths 40cm and 30cm. A is bent into a circle of radius r and B into an arc of radius r. A current
is passed through A and
through B. To have the same magnetic inductions at the centre, the ratio of
is
Physics-General
Physics-
Equal current 'i' flows in the two segments of a circular loop in the direction shown in fig. radius of the loop is 'a'. Magnetic field at the centre of the loop is,
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bp0ydhE/bII4/Izp07rVeTBzcPm1d3Hw82KJQcN25cqqJMrLyJbd7vv//eesUb4MfNufHD9pKaja3EBdolhjylF4HuwZNPPplAMnKH07Lh0qCCl9wFyvBZdSEzP1ZUDhG1TgsoQiQszPkQQv7222+tV0IPLReLfphXgg/AduLyOOVCWXW8VIcPqLjF5uT8sFe9lFPByqvNBgIeXiAvRNWRQ689QW0nLu4eNmc8Sr1kE7ESIgvFTeDR7KWKVQ1sbH2O2MqhJi97FjauNO3LSOTQCdhOXB7FiDpTJIjanxcwZswYlbUFIYi3kxjjVVCQqc0GyEudW6iAF4HiUDpOek0fwnbigpYtW6qJx4kfSrAJw+bmR8T50GvND/0oWHkT27yU/YcC/fv3V+dQu3Zt64h34AhxtZ2LvkKoROD43latWqnzYLz88su+aK6swVOhXLly6txZ8dzuao4gNzIDfP+AAQOso96BI8RlVdOyPaGIx2NbI0bH9+fPn9+35TOsvDo4gtngpl2+YcMGyZUrlyrHz0iSkVNwhLgA3ygT7nZiBjahTiEsXbp0SG1EO4AGm24E4+bKqxOm2BN48UnlGHFHjx6tLpwCu2ChUSfAd+qwbI0aNdxTSzx9TOKOOuf6S2w24K356quvrFecgy7DIiroRThGXESO6bpDdpTTqx72mG6YwiARBpVBx3Fok0x670WJavKwNG78kLTs9KbMX+PM9/K4Llu2rLo+5O2d7I1M4juhcEwFr+ZQOEZcVtknnnhCTTReBqdAkrbWtmL06NHDlU4/p3b9JB3vvVFK3dFERkyfJ9/N/0yeqVtWLi16hwydt8l6l73gCUJ+BNfJHmLWrFnWK/aie/fu6jsQu/NaEEnDMeIC7DGMeybZCb1cJOyxwZhk/LSuSR2d2CF96l8nmS+rJl9uTBQuPrhMmt+YQzJfU1tmb0p7GDk1YOXVNi9mg93kZWOtKzXIt/AqHCUuv9Y777xTTQKd1O0E5odOtyPa5GY22urJnSRX4Hvven68nK9JuXDwE5It8Fqlp0eJU45AfrC6wTclRnaSF7LyuaRceq1FVGI4SlyAK4qJIA5vV3I5Sjm4ufhccg+4ka7hxBZ55T5SFwvI/yb9100Uu3S03JQvYLYUribT/3Bm1QU8wTR5eaLZ0f0R80532aHkyMtwnLj0S9ArY0Y1xdDc1dlKDGxnbFw3cXjlVKmSP/D9uW6QYT/8q6+QgIPfy8NlKdfJLR3HLhEn86nwVycm74wZM6xX0odp06YpNUo21WyuvQzHiQtQb2RyeaSntzICgjZv3lx9DkkfrAih2Dis/OJluZQfTpHK8knQe7tWOlWL11Go/NzH4rQuO030UJjh+7Dz05sfgvCJNusQPfFSCmMwuEJcsox0H4E333zTOpp6sJvWjzBsOpKbQ4MzMv+9JpI5cB45rrtfooN6vvbLGw3jo11XP/C67HJBmJ3VEV0vPT/pIS+JSPw9XUE3bXLGK2InXCEuQAiPiWEnnJZMIzS6dEk3fszQVggcl2nd4kPJF5duJF9vPySHAhsYNjF6HPpnq7zxYHywIF/l52RLEGvCCVDvhwYE30uZDY/91IJGMzqdsnfv3tZRb8M14lLlqqtFeRSlBtjE5PbyN/gUQ5/fe0QmPltZnU+OgtdK3WaPyeMtopQJo0ZUC3n8sSZyW8lL1Xty3dZONrhY7Mz8aLOBAALSSalBv3791N+Qp8zT0Q9wjbiA8mbsU8hIYjdg9UXZkNIQAhb0GWC16Natm5pMBm0501oO4wyOyJTn4+3AfCXukeHRi2Txop9U3mr8CPz/4tnydI14P2jeO56RzS6tuBqsvLozEDavXnmxhQnfMpfMc6dOnVRUjPxfVNN5v5d0E1KCq8TF3aI3WAQOqNM6X6aToeU8CTmSE+oVaUuRkzL7tXrq3HIHTIXvg5Jyv/R+oLR6T5G6vWRnCJoPYaNS3Mg5QMp69eqdU52sB6uyJi2dMtNTexcquEpcwAqr7amUBhsFr8kULR3XUXIHzi3zVXfKp8EslzOrpWOV+BL1yI5jJVSyKKy82kuQ0iDR3m+pn64TF1ABHGwCgw1SFL3U0Hnf0jFyS67AueUuI0O+D0LLAwvkoRtzBc49j3QY46wfNyUk1vVNabCxQyfNL3CduGRtkScbbPKSGp7KwD+0JrCiFgicV37pMv6/AiLHfh0nESpyVl1mrI+zjroPEsG1zFNqh5+U5F0nLpPDBi3YxCU1iA65kfGVOpyWJSPaSs7AeVVs84GcT83Fw9tI1sBrVTtNcDz4kByGDBkSdC6TG3hu/CJW6DpxdRO/tAw2EKlVmnEFRzfIK3WKSaYcN8nIZQesgwEcWCZNy+WSXGUflR92hlZmFZdjsLlMbuAv90MxKXCduLhhgk1acoOghZfsXHBk+yLpWLOMFC5VVboPGSOTPx4hrWqXl5K3PSIzYhKROUSga3uwuUxu4Hnwi1ih68TFZxts0pIbOMbj4kJnLyaFs7E7ZNZHb0n71m3k6fYd5LUhU2TDfm80305rI0EG/l+iaH6A68Qlrq4rgFM7vN8b+Iyc8oqr2QIavIR+g81nUsPrqYyJ4TpxgRYMSc3Ily+f73vhhgIEe3A7ajGUlAbmmBfL0JOCc8T9e40M6/eeLNnx39JmeinovIXkBsniVO4apA9URhB9DDa3iQcFrV4u0wkGx4i7dW5fKZIjl7Qet8I6ci4IS+J+CTaReqAj4PUeCV4FJe26sDK59q1EJ8eNG2/9lX/gEHFj5f2WVo+we1+W7UnYf5TykLaIeAg1ThTpsUEgtU7L/2APhy7/1p+gdF0HHypWrKjC5qy+jRs3VpFI5plIGQn+BCrAoT1bZfWadbL1z90qSMTYs3unbN+2VYXpt27bLrv3HpDDDupHpAWOEPfY2slSkfIWftV5r5cBC1LWGkCgjooGnXlP+FE3taacBAVxr5ZKewlkeGlRlCpVqvynBOf8eY7HKVk1b6L06dFJ6t8VIdeXKaNE98rdUklq3d9QHm7SRB5u3EDuqV5FKlerK+1f7iczflwjobwbDhD3hHz6UkO57pobpGwJ7KssUrndCEmPk4UVuUOHDvE/gMBASfzAgdD7SL0IZJJeeOGFhLlCmTLtubXHJHpQC5VElClTVqn97HD5deUatSqvW71CfoieKX07NpD8vJ6vmDTtPlZ2hiigaTtxT+2YJ3XLlZDnRs2TcZ3vkSxcZNFaMnN9+kOJ5CrohHKklRCPNvgXVDljBjA/hNMRRUlvg8S/YsZKRHaIm1+eGRPMy3BaFo/pJFdk5j055NG+XweWKvdhM3HPyg9DHpOrrqsnPx8PrJg/DpJSubnAnNLk3XkZypSiglVXC1OFirS7n2RDnQK1YrrJNfOSUVGU/SsmSqS6ZxdL2w+SWiD2yesPxCfLX1S8nkTvdt+JbS9x49bJ07ddKTVfnCbqUs5skRdqxieK5494Un7PYHIqRZO6yyGDBGmnfLz4Qb0MvDJRUVEJc1G9enVbcpf3r5gglVIkbmAD2LNO/HfnLSnvLXC5zCMAW4m7+ctuUuTKSjJhxb8KKL+NbSd5ucAsl0rXTzJeM8bGYtCgQcphzsSRgEMY2e7Sno8//lh5N/Su2yugSoEMOy2lSsdLmkTHxtpDntQR96SMbxdfHpQpf1n58Bf3n3w2EnefvFbvRrklqv+50kP7l0rTG+Kd4Nc36CU7bHqqLF++XK24avICg9RHHpOIhtgBrQWBL5lu8LR0CmUJETbr559/nqCVxsBroGv37MK/xM0v7T8K/jQ7sWWW1CkZ7xsuUr2zrAtBeoZtxD20dLiUv7q4dP9iU8BEOKlWRuV2kTiZ8kpduYjJLnCTjFhknwwnJCXvVLdZYtSsWVN1iMkoycj/nT9/vtr0aLknzBT8oW7nrEJOrVfLIIuLJBonEmL+JW5eier3jfxz+IgcDewljsbFyoFdW+XXhZ9Jm3viGwoWKFFTRv+0w/pLd2ETcY/IpK53S/bs+eT2+xpJ4wb1VfHdAw/Ul0YPNZa7I0tLdjXpWaVGlwmBd9uLbdu2KX1cXfjHoD/XhAkTbMkqowcZVcfo0vLZFCIOHjzYUfknfvRURePW0h0wMQtIC3VC+VID4kZSwZEpixQqVk5q1Kot991XV+rUqim3R5SWPNb8Xlf1MZm+0gUN4iRgC3FPbJsbeHQUlkavjpf586IDK94sterx76zZc+Tbb7+QjrXiV8UsV9eV6O3OPFsowcbvq/vzMlDQSRwhygjIVR06dKgq9oRMRPVoimInkfgRfvDBBwkl5gxcgWgAYx45DbXi5uF7c8k9T70t3wSeOtHRc2X2l1Plo4GvS6sHa8pVebNJjkuLSbVGbWTcgo0Sim2sLcRd0P9BKVz6IVmSjK7m5ukvyWVZmJCcEjXY2S7cNHfu2rVrgs4rA1dR27ZtZdKkSRlOSsdEobMQTxX8puQCoFUwZ84c6x1pA+FV7FeqFhKX62NfU/DoZnPqxDZuh1HB+sGdkZivBkqly+OfAlkL3ypDv91mveYeMk7cuBUSdfPV0vD1Wcn/8uLWSPvI+CZ5l1V6SmJcMBM3b96sduA82hPXubEjp7M5Jdm8JyM26+LFixW5yMKimR0bpvHjxyerLYv/eceOHTJ58mRp0aJFQk8zPW6++WYZOHCgu/KpFv4lbvLusJ/ebyUX6/ms3122uuxYyDBxf/+otVxevLJMXZ/yA2Ph4OaqyDBTtsLSZWKMddR5sNFiNWzXrl2CLKce2I0I6j333HOKyLQhJakkrX5cwqu45ZBAYgXGREHMhMc7aZxkuUFokuLR9NWdLvVAF41Vm5U3lAWLqSVu3NoZUu2y+HPPXKq+zNvibiF+uol74misrFs4VipfEjj5PBEyaslOOXT4aPBV98wpiYs9INPejA9LMrIWqSofzV8lh+KOxQcrXAL+XkiM75NG2fp8Eg9MDFIuWQ15fKOmDqnxKLDCQkbSBgmI8C+DQAiSRpCVFVN/FhtGSo+CJXQjiY/eLxlyXilSTC1xj22cJ/cWib+Oi8o+LN//6QvinpWln74rTe+rIRVvrSCVbr9T6jSMkh4DPpdg0b+z+9bIiN4dpF6talIpMlKl1N16SwWpXrux9Bw+U/aHyD1KEk9MTIwKNrBbJw8C0tK34nyS6YE5kDt3brVhYrXmXwbHWGkZ/Hfiv4G0VNCiLINZgXIlml2h6rqZHPavTETc4cuso//Fyild5Qq1Z8kkt7UcIntdvofpXnH/K/x7Nlkx4KReS+5vQgEe+WyGIBcrLZs8SmDq1q2rzADsY/yoJGAzIDoCJ+cTHt8yAn4kCNER0lPl9cngwG8jpGxWriGwORsZvAhg48JRUrN4fFApd/F75bMY93+AGd+cXSDAk0BKJR4JBj5cbFdsYnoGs/rihmNVpdwIt5Z/cEYO7dsua1Ytk3daxcuUMq685X7p+spr8u6AwfL++0PlnT4vS4uGNeSqvIGNbubcUqZqM5m4ODSyTYa46QQuN/JfUQDHbYWXggy29KYThhYnVCL5qy91llYtmkvzgG3fokWUNGv6qDzatJk0j4pSCT0tWjwmj7dsLZ1feUsmfrVI9oZQ3NEQNw0gwYUyIhpcY9eywkJeSsEN3IUhbiqAZCcZaXgH0O6lozn5wH6RKwpHGOImA/JbCSHTch+bjyQbImYmgT30MMRNAmSdseFiELgg0cY7yugGhrhJgNxearfS5B04FSvLv50uM75bIYcNxx2FIa6N2PZdfylBEWHOUjJoobsdLy80GOLaiJ3LxkjVYlfKFaVqyPhf/KF66FcY4tqKs7Jn00pZuTF0CdYXCgxxDXwJQ1wDX8IQ1wGcOXlCTp3xVvJQuMEQ1zackK0xS2TCwB7SrFlHmbPFK12CwhOGuHbg0Hb5cnhPqXNLfIQtU94IGf+HIa6TMMS1Ayfj5M/N6yV6bGe5HOIWipSJaw1xnYQhro34Z/VEuSVbgLgFDXGdhiGujTgQM1kq0efXENdxGOLaiIMB4kYa4roCQ1wbYYjrHgxxbYQhrnswxLURhrjuwRDXRvy1eopUyhFP3CmpUPYxSD8McW3E9m/fkqvw42YtJu8s8J7YRzjBENcOHNsjs8e8JY3uukHyUe6TJ7+Uq/aQ9Bk9V+JMazZHYIhrB86cUGrdGzZtk9179siePbtl6+YNsmXXQTltcm0cgSGugS9hiGvgSxjiGvgShrgGPoTI/wFWz1xMLB2iDwAAAABJRU5ErkJggg==)
Equal current 'i' flows in the two segments of a circular loop in the direction shown in fig. radius of the loop is 'a'. Magnetic field at the centre of the loop is,
![](data:image/png;base64,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)
Physics-General
Physics-
An infinitely long conductor PQR is bent to form a right angle as shown. A current I flows through PQR. The magnetic field due to this current at the point M is
. Now another infinitely long straight conductor QS is connected to Q so that the current is, 1/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now
The ratio
is given by
![](data:image/png;base64,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)
An infinitely long conductor PQR is bent to form a right angle as shown. A current I flows through PQR. The magnetic field due to this current at the point M is
. Now another infinitely long straight conductor QS is connected to Q so that the current is, 1/2 in QR as well as in QS, the current in PQ remaining unchanged. The magnetic field at M is now
The ratio
is given by
![](data:image/png;base64,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)
Physics-General
Physics-
Two long parallel conductors carry currents
and
both are directed into the plane of paper. The magnitude of resultant magnetic field at point '
' is,
![](data:image/png;base64,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)
Two long parallel conductors carry currents
and
both are directed into the plane of paper. The magnitude of resultant magnetic field at point '
' is,
![](data:image/png;base64,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)
Physics-General
Physics-
When 0.005A current flows through a moving coil galvanometer, it gives full scale deflection. It is converted into a voltmeter to read 5 Volt, using an external resistance of
. The resistance of galvanometer in ohms is
When 0.005A current flows through a moving coil galvanometer, it gives full scale deflection. It is converted into a voltmeter to read 5 Volt, using an external resistance of
. The resistance of galvanometer in ohms is
Physics-General
Physics-
The force exerted by the conductor AB on the loop CDFG shown in figure is
![](data:image/png;base64,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)
The force exerted by the conductor AB on the loop CDFG shown in figure is
![](data:image/png;base64,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)
Physics-General
Physics-
Three long straight and parallel wires, carrying currents are arranged as shown figure. The force experienced by the conductor 'B' of length 25cm is
![](data:image/png;base64,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)
Three long straight and parallel wires, carrying currents are arranged as shown figure. The force experienced by the conductor 'B' of length 25cm is
![](data:image/png;base64,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)
Physics-General
Physics-
Two particles A and B of mass
and
respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are
and
respectively, and the trajectories are as shown in the figure. Then
![](data:image/png;base64,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)
Two particles A and B of mass
and
respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are
and
respectively, and the trajectories are as shown in the figure. Then
![](data:image/png;base64,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)
Physics-General
Physics-
Two circular coils of radii 20cm and 30cm having number of turns 50 and 100 made of same material are connected in series. The ratio of the magnetic field of induction at their centres is
Two circular coils of radii 20cm and 30cm having number of turns 50 and 100 made of same material are connected in series. The ratio of the magnetic field of induction at their centres is
Physics-General
Physics-
In the circuit
ohm and
ohm. If the resistance of the voltmeter R=10,000ohm, voltmeter reading is
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)
In the circuit
ohm and
ohm. If the resistance of the voltmeter R=10,000ohm, voltmeter reading is
![](data:image/png;base64,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)
Physics-General
Physics-
If in the circuit shown below. The internal resistance of the battery is
and
and
are the potentials at P and Q respectively, the potential difference between the points P and Q is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANkAAACQCAYAAACF6c7SAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AACf/SURBVHhe7Z0HWBRX18dRscdYoiaaGDWWRN830cQYNcYSjZroa8XYMdh7ib1gFxvSxF5ABOyKvaMIKtgVGxbAQhXpvf6/PXdnYHcZiJ/sDGa9v+e5Dzt3ZpfZO/M/95xz7841AofDkRUuMg5HZrjIOByZ4SLjcGSGi4zDkRkuMg5HZrjIOByZ4SIrZFIS4xGfmCxs5SY9IQpBwWHCljQpyYlITs1Qb2SkIkH1eVnqLSArC0mJichUvcxMT0Vqarq6nqMYXGSFRXI4Vk8dhIZf1cAnVaqj24h5CIhMEXaquX/OBRMnT4fFkgWYttAWYUnCDh1e+F7ErFED0KHTHxgw/G8cu/yQiYqRmYYrx7ZjYI9OMBk2A3eevRZ2cJSCi6wwyEqDm+109B7yN/YeOoL1SyeinJERmg5cjAShQ3rtexxNGjaG290I1VYGVgzvhO6T1yFNvVuHTPi5b0FZ1Wc06r9EdbQOycHo0/I7WB6+jYzsLo6jFFxkhUBmQgR2ue5GorBNOM3qDqPS38DnDblzGVj5VzPU+2NatmCCL25EhQo1cfxRtFCjSzrmmXyLkjXbwi9GW0mRD45jyPglyNsp5cgJF1khkJWZmatHub17ASrWaIaHcVnISniKVtVKottsR2GvqjMK8US9siUxYf05oSY3gRc2oZSqN5uy9aJQQ2Rhx+IxsDl8V9jmKA0XmcIkJCQIr7RxnNkbHUdbsZ4r3v8EvjAuhlG2R9U7VaRF+aLZJ8XRZdrmnKSGLhlRMGv+KSo27oMwwa9Mf+OLoYNHI1D633IUgItMQSwsLFCnTh14eXkJNWrSwm6ie8fO8AiIZduRt/egkrExJm88y7aJtKh7aFHFGO3H2+ckNSS45moOI6NisDrux7Yv7ViMaXaH2eu3ISOzgEFbFg/6dOEiU4j09HS0bt1aJQAjrFixQqhVkZUA25kjYHfwulABxD45hs+LG2Pc2pNCDZDy5joalyuOHnNyXEhJEgLQsXYp1P1jOlIz4jFruBm8nmtGf7pkITEmFGf3bUH/bl2w50qIUP/PhNw6hoF/9kLPXr3QS1V6D56AOyF5pEBVBNz2gNXSeZg6dTrmzJmDmTNmYpn1Btx4EiocYZhwkSkEiax9+/ZMZKtXrxZqM3FkswVWbMsRE5ER9wStqpdCr3kuQg1p5xS+KFUCM7dfFmry5qilGYyMP8PiFUsxznwD8hsZy0yNwpm9W/B7489V51YUmy8ECXv+iSSY92uBsuUr4pNKlVChfAX80H0yXqdI9GSpkbCbMQCVKlVDvwmLcfH6PTx9+hS3r5zF3FEmqF6lGkYu3IKYXGlRw4CLTCFIZL/99hsTmZW1Lau77LYFtk6n2Gs1aQgMfKX6m47Vw35GvU5/ZwvE/4QVPq7yDTzz7ZXUpIReww9Vi8CoTG3su5X/QHZWZgaL8Xx2zEXRoqWxzePtRPbisiuGTV2N6MREREdFIuL1aySkSKgkKwk2Yzux7z3BXtuYiOy1+Ivt7zFtI1KFOkOCi0whNEVmu3oZTmwyR/VqNTFo5ASMHTMao0aNQOd2bWHhoo7Xoh6fQfP/Nsbuqy+RmhiBGX1aw3ShS95JDy2yYD+6LWr8Mhxxbxki3d23DMWLl8HWtxFZViLM+7dEj5GL4ePrL1RK8+TsBpRRfecv24xEvFCXi/RQmHxXSdU2FeF8+aVQaThwkSmEpsiWzRiKeROHom+/fujVozu6devGSu9BE3HvdY4tf+ixF1OmzsDC+XOwyNYZcfllPHQIf3QFx70eCFv/zJ29FijxliILvbUfNUoase9CLmbrnqPg7R8p7NUkA3Zj1d956Co3oU6azdP+x47rPnNbvomdfyNcZAoh5S6+FanxeB0ZJ2zIx/9HZAmRIbh93Rt7HNeiX8cf2Xf6uO6vuOQfIxwhkojpXRuo9hfBgh1XhDppjliPZp/TpN9Cg3MZucgUQktkVlZC7fvD/0dk2qTigO1klFB9rx8HWSBZyz1NwaIBTdl3nuPoKdRJc9hqJDuuzQj1WKEhwUWmEAUVWUhICNLSpGcu6oN3FxmRieVmLVGk4g+4Hal9ju4bJ7PvbKKRKZVi3YQO7Li5/9Dj/RvhIlOIgojs/PnzqFatGqZPn44smQZ7CyYy4OX59ahc6Wu4B2lnPzNinqL7fyuh+JftEZBXYjTSF02rGKHqD33xwgBnpnCRKURBREbjavS+5s2bs8+Rg4KKLNJnOxr82A2BCTlpC9EgRD46j98b10arvtPwOEQ9q0UkIuAGhnb8DjUa/QHPJ+rJz3IZksKCi0whCiIyW1tb9r42bdrIJrL7B1aoRFYWjl65x9VePLiGCz73kJ7Pvb99nhnGrT4gbKmJDr0J193n1RtpkXC1nguT4XPwRgjc0mNfYOKAbjC3ccEbwcs84rgVd17nmez/V8JFphDvr8iykJqShMOrhrH/Yb7DG8mpGnFVcjh6NTCGUZE6uBRMeb8kWAzvhJZdBuPQBR88vHcLTnYLMGTiEujOqIoLOoN6ZUqgdoNv8VOzFmjdogmq1m2NB9Hq1EZS6CU0rfEpmv3SBi2a/4T/fv0lSpRrCM9ww/pRDheZQmRkZOhFZPQ5eiUrFZ5HXTF9/DCYmPTC6CnmcLtwK2fQW7V/t80sjJ6xGmGsB8rAQdspqPdlNZV4fkDvAUOxYv1ORGn/qJuRFuuHyQN6oFPHDujQQVU6dkJvs1nwF36ZmhJ1H5P6a+83GTwDz8RfrhoIXGQKIs5dLIjI3hsyUhAdHfuWM1A+bGQTmaenJ0xNTfHnn3+iT58+H3QxMTHBnj178L//qWc1vKvIOnXqBGdnZ/Z5Uv9HudIXAweZsus7oH8/if3vZxkwYAAOHjwotKpyyCYye3t7lC5dGpMmTcLUqVM/6DJ58mScPHkSXbp0KZDIOnbsiCNHjrDPk/o/vORfvvjiC0ycOFFoVeWQVWR0U3FyKKi7SL9H47w7o0aNYkZfaWQT2dq1a5l7k5lpaNM93433PYX/ITB06FDmBSgNF5lCcJEVPlxkBkBmahJi46XnDnGRFT5cZAZA2O1jWLp2n+Qsci6ywoeLzAAI8t6NyUsc9C4yce5iy5YtucgKABeZARB3/zjMbfYKW9oURGTbt29n7+vatSuPcQsAF9m/kKz0BHi7H8fhw4fZ+JXj6pnoOXgy3FSvj6jqDh8+hqdB6pnlBRFZfHw8HBwc8PDhQ7ZNs9RPnDiB2bNns0KPV3ubMmvWLNjY2CAqKop9zocGF9m/kMzUGLg5rYeNKmayW2OPxVOGon3XQbCxt4edqs7Gdi2uP1bPai+IyHQh0VWtWpV91rsU6hk/RLjIDIDY+8cw11r/7qIuNEmY2pfcRyrig3j+qdC0riFDhuD58+fCJ31YcJEZAME+ezHFwjHPxEfuh5tylISLzAAIuX4Qsy1d8hRZq1atmMhWrlwp1HKUhIvMAEhLiEZQWKTkzz8oWbFo0SLUrVsXFy9qLm3EUQousg+E6Oi8FvHjyA0XGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRSYHmQlw22qJvwb0x4iJs3Hq2jNhR95kJkbhmscpODk6YJuDA1z3HYLv02Bh74eL74X9mDJmKEzNRsLO8RBi3uLxj1Ehz3Dq0F44bNsGB8ftOHTKA8GRhbfyOheZnslKj8GamaZo/ks7/N6+JUrRk5rK18ce7xfCEbpk4fQOSzRv3ADtew6B/VYn7N7lChuLWWjXrDHam4yB58Pc6yl/CLhvm4saVauiQcMGqPqxMXuEQguTaQhOkF4CMCvuBSynDkKDr/+LIZPmwcllJ1x3OGLWOFM0/vYHjFm4AWE6S98qAReZnvH3dsOK9XsQJ/z7+yfXopLq5vh5qKXEMzjS4bzQDEVV+01mbMx+j0ik/xV0rF8JJT77Dvuv5iVSwyQh+DoGmfTF8ZuB7LEKiREBmG7SlAlt6mZh0XUN0qOewezX+jAqWQ0bT9wRanO4sm81KhU1wnd/jMYL3YaWGS4yPZMYGwvt/xyNLl8VR8vh1rlE5ndmAz5S3TS12o9GnFCnS/iNnaisOqZyo94IjC+c71QYBN08jaPegcKWmqSAM6hZggzWKp22TMOGyb8zAY62PinU5WbnvD7smN7mO3SukbxwkclN9D20/+EH7PZ5KVQIZCVjft/vVRe9CGY7XhIqJciKwbBfqquOM8aqQ/eESsMnKzO3S5iV+Bg/VymOrjMdtB4alBx6Fd9XMkKR8v/BpeA0oTY3MQ8OoXpxIxhXb4V7UXkfp2+4yOQkNRJrZ5lhss0RoUKDpFD0/LYcjIqUh6NnfgmOdKwapn6km+nS3ULdh0n80+OoWfFTOHhpu86hXttQTtU+5b/theAUoVKC9BhftKpeHEbFKmP3DeUeGc5FJgtZeHDpKMy6tmDiqFq/BZzOPxL2CWSLrCJ2XA4XKqVIh+0Y9ROATS2UEFkmoiPC8SY6DqmpqYiLjUZUtK4LXDjsWdAfzf6cDd28hyiyit/3RXh+Iov1w2+1SqpFdpOL7J15X3qy2Igg+HiewYoZf6Gs6gYoXfs3PNB0UTJV7mIfcheNYXXkgVApRRrM/2ykOq4oVrr5CnUykpUOvxvumDOmH376qRl6m47ApAlj0NukD5as35srOaMUsc/c0e6XDvB4ljt6Ze5iRbUb+CCv4FZFWrg3Gn1shKKftYRvJHcX35n3LiZT4TCjl0okxbHRXftZ8H5nNzAB/jrWXqiRIPo+mlZWuUL/6Y4ABRMfl7ZOY72n9VE/xERH4uSWOSij2u48yR5J0hl0+UgKwbTBJthwIi8jk44NkzqpzrcI7M9pJ0s0uX/Qgn2n7rMceeKjILyPIovx3YfKZcrA/lSAUCOSBefFQ1CyVBVYuV0X6jRICoN5v2YwrtwAu711Eicy43tgOUqUKIvtl0RXNg2TOtZWuVq14f5ceulceYjD2rljsMzJXdiWJivWH0N+/RpVGnbC9ecxQm0OYQ/c0azGR2jQYQReKjwuzUWmALF3dqF2rSbwDk4WalQdVOAdPAhVT1+4f34Xhg3sh+UOJ1U2WU1y1BPMHjEApuPm4l6IOtC45eON+CSpJ97rnzv7LJjIHDxDhBpg6UBybz/FUb98fDK9koH96xbB0kV7XCwzLgSBwvprJP47N28I7ZaKXXYL0G/QcJy89YrVEE8892BAr56Ya+MKdUvGwfvaXcm1A+SAi0yvZOH5XS8cOHoOb5IFnyo1AouHdcXolXu1XJSXKlfxp9adMX/JctivXYf5k/uiRbdJiBUOCr/uiqY/tsWS1Xawt7WC+WQzNP3NFG8SlfHVmMiKl8E2T/Vsk9cPT+PrMjSmNxavUxU4h6wkOC0ahvqN2sB64xZsWLcO69athdXKxejVow/O+kUKB2Zgw6wB6NxnJJavssI6e1v07dgCk+yOCfsB1yVmaNt9GOxU7Wy1ahnMerSD6TztYQA54SLTK5nYY/EXm8FRv2l7TJszD1MmjsZca2foeiivvV3wWZliMCpSBEWLFkPxEqXQ4I/xiBHi8bArLqhZqSyKGxdT7S/KYolabYcjTqF4/e6+ZShlbIy/ZqzGZntL9O/yKzr3m4jbL3K7YvonE+edFuHzCmXxcfkKKFO6FEqWLMmKcbGiaNxrNjRnR7ksGoRiRYxQRNVOxYoVQ6kyH2G8Xc6wicviwShbuiTbV7RoERgVNcZwywPCXvnhItMz6UlRuOJ+HDu2O8B17yE8CJROz2empyI6Ooot8RoZGcn+RsfGQxyDzUhLzt4n7o+JS1DM+lJPVrJEGdgeuo3ngYEIjVB2wYqYN+F4/Ub1vVXf/c2bNzltEBODpDRtRy81KYEtqBEbG5t9XHxSTi4/JTEecXFxQnuq2zwhOVXYKz9cZBxJxJhse75jePonLS2NlXeBlonKi/z2yQ0XmZ6gpV7zQo59cvPAbSUTmdOVCKFGGej6UZHiwoULWL58ubClzcuXLzFq1CjJNqNerHfv3qynKwy4yPTAw4cPsWrVKmFLG3J1xo0bx2ZP6EJ148ePZ+6LFLQy5oMH+Q1Uy0EW4qIj4Dy/P4sDJ9mfRGSscm4qCWXChAnClja0HO+AAQMkhXTmzBn8/PPPzJ3U5cmTJ6hTpw77WxhwkekBV1dX9OzZU9LNuXHjBho2bMhiBV1CQkLwzTff4N693BN/k5OT2YLm+/btE2oUIisdD3zOwmbZAsyYMQNLLdfC8/ZTRQZvExISMHXqVPZ/6ftrQsJauHAhE2BoaKhQm4O9vT0zZjdv3hRqcti/fz/Gjh2Lw4cPCzXKwkWmB6gXGz58OHNZdNm+fTtb+d/Hx0eoyeHcuXMwMzOTFJKfnx/7TDs7O6HG8KFee82aNbCysoK/v79Qq4aEtWLFCjg6OsLDw0OoVUOCXLJkCY4cOYIdO3YItTksW7YM7u7usLS0FGqUhYusgJD1pYu4bds25rJoQtZ36dKlzILSfl1sbGxw/PhxyQXT9+zZg127drHPTknJZ9arAbF3716cPXsWbm5uOHHihFCrhoRFArp9+zY2btwo1Kp59uwZM3QkRGpvTSgOox6QXHL6q9tDKgEXWQGhHsfa2pq5fOSyaBIWFsYsrPhX85xIOAsWLEBERAS7+ImJ2lOV6GYJCgpiInv1Kmf2giFD3/XFixesLW1tbYVaNXRdyRUkt5sWmtdsSzJi5BJSBnH+/PnM8IncuXOHGTOCroGUtyE3Bimyzp07C1vyc/ToUXaR6cKSWDSDck9Pz+wejC6+ZlAeEBAACwsL9poyZpruEWXD5s2bx147OTmxrJqS3L9yCnarLWG7YTvuvVDmJyHUbnPnzmXJIBrz0mzL9PR01h5UT3VknDQXmidPgIwdQW2pmeBwdnbO9jCoJyS3UWkomWNQIlu3bh2aN2+OS5cuwcvLS/YyZswY5q4QdPEpmyhC53L16lX2mjJj9+/fZ68JEie5hMTu3bu13KO7d++y3pHw9vbWco/ohqP4jgQsdT7vWjxV5fJlL6ydPwKflDBimUUqlWo3gZ3rMdW+S6r/Kf1efZSDBw9m9zjUS4m9PBEcHMx6L3Gsi9rG11c9Iz8pKYkJUPQEKL6ltiXoeHofeQQEXQu6JiJkzM6fPy95PvoqdB+S0TcokW3YsIHdHJ9++inq16+PunXrylZq166NVq1aZcdM5C5ev66eTU8Wl3ovMT1PQTm5NCIUQ1DqnyCXRtM9cnFxwenTp9lrcjU13SOy4A0aNGApaalzetdSr1491Pq8ara4tEsJ1KxDx0i/Vx+F2lHTLV6/fn12soh6H0p4iBw7dozFbwT1WpQQESHxiQaK2ooESIaJeP36tVZbOjg44LPPPmPfXeqc9FHos4sXL25YIqPGpzlumzZtYjcoBcNyFbKQdOFEyC0h94Sg9Lym9SV3RkxwkPU1NzfPtr4kRLLc4s2wePHi7NiB6jTdIxIkuURS51OgomqrXcuGSQhMVUrXwA6vp9Lv01Oha6XpapOwyFUmKMOqmZrXFBb1gFREqJ2ovajdb926pZWdFduS2pv2kwCpPaXOR5+lT58+zONRGtlERi5As2bNtBpeKQIDA7PjLIqjyFKK0HnRBaYbieIvCvJFyLJSDEKuphiPaY65kRtFLiRBFl2uGO3mzgUoIiWy8v/BlXBlEkkiZGSoLUkY1B6a8Wx8fHx2W5LYnj59KuzJaUvKKkrFYCQ6akv6PPI0lGDkyJGYNGmSsKUcsomMAueWLVuyOEdpqIeii08XmhIwNBCtCfVQFGdQzKDpOhLk5pK1prhNN7NGaX7RPaLPJ6svB8lht9Guzke5RNZ66Aoo9AubbCjVTp4AeQC6aXmC6mgfCUo3Lb9582bmapJIyaPQ5OTJkzhw4AC7NuTtKIHBZRepwWl6TWGIjCDL+vjxY3aDaGbACBqYvnLlChtspWM0oQCcEiHiWJEmZKkphiPrLFpwuXh+/Sh6tm6EsiWKoUyFz9Bt2Fz4R4k/JVUWiq3IWO3cuVOoyYHqaJ+YLNGEEg7UXuQtiC64CHkR9B4SopiUkhsuMj1D2S26gBR/ifGYCF1UEhhZWOr1NKGgn24KstCUTdOE3COqJ/Ft2bJFqJWR9AQ893+G569yT19SEurx27Vrh0ePdJ70pYJcvjZt2uSaAECEh4fDxMSEJU90oTh4zpw5mDJliuQ8RzngItMzNDWI5hyK6XlNKOYyNTWVnElObi7NvSPfXaqnoilB06dPz+WCGjKUfW3btq3kjBdKXrRo0SKXQSKo96KJxJQ+l4LaWclEBBeZnqHEBd0YYnpeE4rVBg8enGdSZuLEiczNlIKyljTeQr3ahwK522RcpIwOCYlcwrx6IxpOoUSUFDRWpjleJjdcZHqGhERZK3EgVRdKaoiZQl0oGZLXTPFr167h77//FrY+HMio6LrdIrQvr/iU3EKpnxcR5KrruutywkUmAySwvH7dS5ZXd56iCJ17XpaZPk9zNgnn3wMXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xkHI7McJFxODLDRcbhyAwXGYcjM1xknPeUZNy6cgGnTp/FvWfaz07Mj8iwV/B79AhPngUiXrm11/OFi0xGnvpew7lz7rh5/9nbLwebnojn/k/h9/gJgsKVWVHlfSMt2h9T+ndA7Rqfgp5oXLTcF1i43T2fNkzDxQMb0bdbZ/QdPAIz55hjxrRJ6GfSE8OmLMYNf2XXvdaFi0wOUsKxYMjvKF+mhPAU3tL43/AFCErI+6GkscEPsHzGSHTp2gtjJ0/D3LmzMWb4YPTsPRDrdp9FksJP8C0sslRGxmnldCxY4wo//+e443EALWqWhlH5RvAOkljALy0SFiO7oLhxaYxZth1BUeIDcrIQeM8TZh3/g9IVvoL1fm+hXnm4yPROJvZbjkO7niNxzOMyfLxOYmSX75nYeszcigwJsTy5uBM/VPsI1Zt0xTEfP4jPvE2JC8f+9XNQuUQJtPzzbwTGyvfkYF1CXvjj0SM/hMcouzJlZkoc7vhqP07vjN0YZqh23tLt2TOxw7wPa9tBS7Ufe55NwnN0bVgeRqVrYv8N9RJKSsNFpmfSY19h5ZLlCNF8WFX8U3SqVw7FvvwN/gnaCzfEBlzCj9WKo2i1ZrgZKv2EK48tU9mN1HroSkg/50p/+HkdwNihZpgwZRrmzJqOoab9McHcFiEJhdeVnl83HjW+74EX8dpGJiHAA9+UNYLxZ81wNx/P+sKmKaz9fui/CCmF8DW4yPRMRkoi3kTFCVs5WA5tjmLV2uBpvKbIMrB1eld2A5ha5GGJieQX+OPrsjAqUhm7r8n36Gwv1yWoXasB7A9eRopwmlFBDzGxWxPUbzUQj95IGwFZSQnDzJGDcehW7icF39q9mLVd3d8n52t8Iq7uxCfFjFCiRls8VNAbEOEiU4Q0zO7xH/y351xtS5r6BoN+qqy6Ucpg/Rnt1f61ScWiAT+yG2q09RGhTr9E3DuGL0sZof/iA0JNDpnh19HgIyP8PNQSSi0Rn5EcDc+jzviz9TcoV7UBNhzJvTjE+U3TWJs06bcw3/OKfXwMtVXfrWjFJvB+o3zKkYtMATIibuGnr2ph43n1srfZJASja4Myqh6qEly888uApcN27G/shuq3UL3IoH7JwKbJv6s+vzIOP8jdC1Pss3RgExgVr4mzz5R5THhGYjjctttj6J8dUa6oEYyKVsXms+p1oUUeH7dBcVWb1Os8Bfk9Dzj6zj5UVfVkZb/piheFkEHiIlOAnQsGovPo1ar+TIf0WIz+9UvWk206J/3cdjXpWG72MxPZ1M0yLACYEYMRravDqNJPuBUtvUzSnqWm7P+vOKBeq1lJrh2wREXV//6+3yKkamgkPeoR2tcsiSKftcTjBKFSgps757Nz/9/0rSpzoTxcZDLz/LIrOvcYisdRUrFAFk6sGctugBHWx4Q6CbLeoE+jCjAqWx8X/KV6mgLC3NZPUKTqL7gbKy2yo9aj2HkudFav46wsKRjf/ktUazUCOnkjXN+/Ah+pzsvUIreby4gLQLdvK6DCNx1wJ6wQYkoVXGQyEhfogxGmZvB4nE/qK+kVzFrXgfHnP+N2uPRN4Okwg93go6ykF6MoMFnJmNmjIYxK1YdHkHR0s3NhP9U5lMI2z8JJg1sO/QUtBi3LHt5ARioio9UG59axTfitVSvMsnJBRFKOMQu6dxGjTdqhVffhuB1KsVgG3ryRwUj9A1xkMpER+QRzJ4zDKd9woUZNWkoyMgWXJyUuEmwUKjkY80f0QPsew3D6ZkD2zIbM9DjsXzsfP33fBPM2qnu6+Og3SEvTv9Nzcdt0JuRVh3MvuEeJl0kdaqpimu54Kfu6tpmIiYpUyUGDmEfo9nMTbPXQSA6lRcHafBr2nLuJV8Eh8L1yGgO7toOjxyvhgFTYTe6HoXPWwvfpC7x67g8nq1lYu+uysF85uMjkIC4Q0/4ywbLtp/H6dThbRfPl80BccHOAvfMppAv36auLzphisQWPA18i5NUzOFtPRrchCyFm+d88OIzfO/TC7jPebO3jR9dOYtykuYjQGgbQEyqhD2/7Fao17Y9Qnc7M77Q9KperArsT94Qa+UgOvoq29avj29Y9sMHFDWeO7MGUEQMwf+MRnXgqARPafc4MQ04pBou9d4T9iZjetYHOfiPMc+QiKzCFLbKEEF8M+qUWu6Cly5aFsbExK0XZRS4Lx0uipQVC3Ndp3QBUqjQdBDH3EHJxM8rq7C9SpwtiZMpCJ0c8xDiVe/V7v3Fwc/eBn98jHHKyxe9t28Jyl5dwlLxkJkdil/0i9O/dE30HDsG8pVY4d007q6gmA3e8TsDF2RlOTk6sODvvwr1AcXmpdNz0OArnHTuE/Tvg4rIbD54rv/wUF5meiX11Hw5btsBphxMctm3DtuzigF2HzkNz4kTy62fY47ID2x0d2aLt27c7Ye+JS9kDwQmhj7HL2UnYpyqqG2X/ycuQwVvUIA2XjzigQ+MaTNTlv+6gimeUnVplaHCRcSRJCHmImYP/QLmPKmKizcHcww+ct4aLTI/ExsZiwYIFkguJ0xrHK1asYOsgS+Go6s1oUXcp9u7di2PH8knxy8ht990YYToQ81dvwbV7TxGbpIzc/Pz8sEPl6kkRGRkJCwsL1qa6UNsvXKiKa/NYW3uLyst4+fKlsKUMXGR65PHjx6hZs6bksrO0Wv93332HO3fEwDwHull69eqlihlchBpthgwZgunTpwtbhUNIwCP4XL2OMIVm5ZPA+vbtK7km9PXr11lb0iL4uoSGhqJWrVrw9889TY3ujU6dOuHEiRNCjTJwkemRQ4cOoWfPnvDxyT1gS3V9+vTBvn37hJocyLL+9ddfsLKyEmpySEhIwJgxYzBr1ixJy22oLF++HGZmZnj9+rVQkwPFpyRAqQXuz58/j969e+P48eNCTQ5kBAcOHIgNGzYINcrARaZHVq1axXqjrVu3CjU5bNq0ibl9K1euFGpyoBuC3Bi6sXRdTV9fX1hbWzNXMzxce8zNUCHDsmzZMqxZswaXL2un3KlnW7p0KXbu3MmKLra2tti/fz9rM12o/SnTSO2spMHiItMTFAMsWrQIz58/x5IlS5CVlZNGpAtKsRqNdVG8QDeRJiTOp0+fshuLxtQ0IdFevHiRxWze3oX3614loXiMRHLt2rVcBosMDbVvYGAgay9NyECJ7UzXIjVVe6yDxEnXZ/HixZI9pFxwkemJR48ewdLSEpmZmexCx8TECHvUcQJddIJ6pGfPcmbj0/mam5uz91EcQu6OJnRDhIWFwcvLiwntQ8DNzQ2HDx9mcSx9f02D5enpyYRHddTOiYk5vyQLCAhgCRGChBgcnPMbNIrf5s2bx16Tu3j1au6fzsgFF5meIBeFbg6CYqt793JmR1y4cAEODg7s9Z49e7TiBbEHIyhu04wXSKjz589nLlJQUBC7cZTi2uldmDZ+FEaOmwrXk8rdkAS5c0+ePGHfm74/ZW1F1q1blx3zUrtpJjgoA0vtS5BB8vDwYK8JcrvFmNfd3Z25jUphsCI7cCCPWdkyQbEW3RjEkSNHmOhE7O3tcePGDfaagnWKG0QoWSIeS64Q9XjUqxG3b9/OPpa+F1luTVdTPE7fHF3zN8oX05hpUrQcxlurDYjciK612EORdyAObdA+Eh2l8Ildu3bh5MmT7DVBbvfDh+rng1y5coXFwSKurq7Zx7548YK5jprI1ZbEiBEjDE9kTZs2xdq1a5mbRv653IXcEkorp6Wpx5AoiyUmOMQbQxwfIxeIbiIx8Cb3kY4nxBtMPJbcx7Nnz7LXBH2meCxZ99WrV7MYTuqc3q2EIuDWUTSsoCEwsZSrj4PX/BEq+T79FXL5NLOGZIQOHjzIXtP1pJhWdB/JCNnZ2bHXotstipNcbE2DRW6nOD6ma7BoWIXuF6nz0Ueh4ZmJEyey/6UksomMgt82bdqgSpUqqFu3riKFxsZo6pQIJUFEIVEja8YVdNHpRomIiGDnSnFCUlLO73qp5xJvMrpJNOMK6p2plyTomE8++UTyfN651KuPGlXL5xaYUD6u8gXq16sn/V49lDp16uCrr75ivY4IxbrUQxHk/mm2M/VooujIbdRMhJDBo2tAsZgYj4lGkBBdUoLauXz58pLnVNBC36ls2bLM0CqNbCKjBidrT347uQxKlEuXLuXKCpKwyP2jeEzX/6e4i3o+strUk2lC8RqNpZG1pQsj9ngExXliXEHB/+bNm/X6Pb29fXDaZQU+oZ/764qsSAUsdTwJH29vyffqq1Bbas7IEGfRENTbULuJkMEShXT06FEtF52gtiKRUrvZ2NgItWo0Z9FQD0ivKXsrdU4FLZQlJWOrNLKJ7H2BBkzpopGgbt26JdSqIeGJ8YSYLBGhzCO5gRSo0ziRJuRGkuUWU9WaCQH9oRJ3/59yiaxJ79myP45OCjKalPAh4dF3152Wtn79eubuUcqfUv+akPCokKDOnDkj1Kqh9iVXk1xGUcSGhsGLjFLEJBJKKeuKgXo9coEoxtJM5xN00cmVoZtHMztGiDccuYrUU8oVrKdFB8Ji0kA0+KoGvqj9DfqPX4yAyMJ7sDx5AjTwTO2i+53JYJEho3bWTOcTlLmlxAl5C5Sd1YTESu+hMUjNBIkhYfAio/mLw4YNY2LQhQZJ//77b0yYMCHXDA+CYgtK++Y1pYgyY3lNntUnqcmJSEwuPHGJUGbWxMREcliGYlaakkZi0oVi3XHjxmHatGm55kCSWEl85JIrOWamJAYvMrqIgwcPznMAmbJNM2bMELa0oSlWw4cPz06WaEL+faNGjfKcsW+IUILjxx9/zE7Pa0LJDJrHqOt2i4wcOTJ7IoAu1IP16NFDcqKxIWDwIiMo8BYHTnWhQVOpuXcEWVYxwaELpaabNWuW5085DBESEv0KQRwf04V69ryMDk0CoNkjUtDwCPV0hsoHITLKKOV1Y9BsDt04QYQyi7qxmgjdcBS0yxWPva9Qe0i51gQlRTSnsWlCbjuNr0lBPZiYxjdEPgiRcTiFCRcZhyMrwP8BoozD27fEdpkAAAAASUVORK5CYII=)
If in the circuit shown below. The internal resistance of the battery is
and
and
are the potentials at P and Q respectively, the potential difference between the points P and Q is
![](data:image/png;base64,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)
Physics-General
Physics-
Two cells of emf
and
are connected to two resistors
and
as shown. If
is short circuited then currents through
and
are
![](data:image/png;base64,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)
Two cells of emf
and
are connected to two resistors
and
as shown. If
is short circuited then currents through
and
are
![](data:image/png;base64,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)
Physics-General
Physics-
An aluminum
wire resistance '
' and carbon wire
resistance '
' are connected in series to have a resultant resistance of 18 ohm at all temperatures. The values of
and
in ohms
An aluminum
wire resistance '
' and carbon wire
resistance '
' are connected in series to have a resultant resistance of 18 ohm at all temperatures. The values of
and
in ohms
Physics-General
Physics-
In the steady state, the charge on the capacitor capacity
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZ8AAADSCAYAAACVU82SAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAEMOSURBVHhe7Z0FeBRXG4UDBHe3UqBYkVL4S4HSQnF3d3coLsXdPVix4lbc3V1CsCDB3Z2gCeffc3cmbMJqSDYJ+V6e+yRzZ2Y3rMyZT68LBCEU4f3sIW5duwKvixdx0esSrt28i6fePtpeQRC+FUR8hFDB2zunsGB4e5TNlxkJo0eAi4uLGtHip0Lu0g0xbN5O3H2nHWwnvt7PcP/2TVy/fhN3Hz7DB21eEISQR8RHCHFeeW1Fx5IZEEETHJeoCZAuczZk/iE5oupzERKjRMfZuOatnWSBN3dPY9WMUejUrDbKlSiGkmUrokqVSihbuiTKVKqNv3oOx8It7ngqxpQghCgiPkLI8toLE+plNwpPhAQo3GwENh3xwMXLV3DpwhkcWj8NjQqk1iyhhKg9fp95C+b9XWyY1AUFM6dCLNdoSJunGgZNW4otO3Zj/7492L55Nab0b47f0idEjPgp8XPxppi2xRPvtdMFQXAuIj5CCPIJ17eNwv9iUlhckavxP7hhRlneeC5H7V/iKQGKna0etj7Udmh8euEJt5aFEDciHycpag5ZhVsvzUnUJ7y8eRCDa/ysHitS3B/RbMxmPPPVdguC4DREfISQ49NjrOxVSAmBS+TsGHfsubYjIO+xvn8FxOZxcbNi4PYX2ryBD3cwt30BRFeWUVxUGbYZJnvN8+IshlTOYHzeKOnQ+t9jEg8SBCcj4iOEHD6PsHV8C+TLnRM5S3TFwUeWnWDu05ojJcUiWjp0/u+WNgt4Le+CtJEpPC5IUrgHPJ5/0vZY5/GRacifyHiea+ry+O/CG22PIAjOQMRHCDk++eLdq6e4ff0yLl27C++PloTjNVb1LG20buJnx9BdWtbBRy8MLJ7KaMG4JEbjaQfw0bjHNm+vYEKtdNq5UVC03xaxfgTBiYj4CKGf65tQ/5e4Siji5WiMXU+N0x89p6NA8shGAUlUANP2PzDusItX2Dq2BuIo8XFB8t+74rTdyiUIwtci4iOEbnzuYl6HQoipRCIOKo/a42fdPF7zN9LHMYpHpCw1sfq8Y+rhsagzfohgPD9WukpYcVfbIQhCsCPiI4RinmPzyHpIHcUoEKlL9IK7SYHOrSUdkVplyrkg+v8aYNMVbYednF/VD1ldjefHSFMSCx08XxCEwCPiI4ROPj3ChpENkDq6URwS/VIHK877z2N7saUfMsUz7nf9qTbWXnAsZ/rM8l7IrNKzXRA3U01seKLtEAQh2BHxEUIfb69ifo/KSKZZJUly18bCE1qgx4RPt5ahXNro6hiXlCUx/+gzbY89fMTBf1siGc81jNQlB+GqfYlygiAEASI+Qqji/YOjGN74dy3G44I0hVth5RlLlTuPMKPBT0bxifADeiw7q83bw2Ms+7sAIqrniYtak49r84IgOAMRHyHU8Oz8OvxVXCv+dImGHNX6YM8N691EHx+Zij8SG4Uqe5NpuGOn583n1g40zh5TnRc/d1vseyiNdgTBmYj4CKGCh+6LUPeXxEbhiZAEJdpNw/kvPW1meIND01sgQwzDedEzovt/ntq8FXzuYV7HP1XdUJQ0BeG29462QxAEZyHiI4Q4L04vR/1cxt5tLtHToc6QNbBtiHwy/NPwfYnD83vgz1SuiJrkZ3SYuhX335sP4HjfOIjRTfMjviuTGKpgyu4b8Muf+yRBH0FwFiI+Qoji++QY+pYxdhqInCAb2s06pu2xwYdTmDNrFa481rYNfLh7ArP6NsJvWbOgZKtJuBRg2YT351ahcZEsyPRLSXR2W4XLL7UdBh6cW4+p07fBxooNgiAEESI+Qsjh+wa73OogMS0elwhIW7gdVuw7hEMH9mPv3r1fjt27sPvAUVx5+MFw7jF0q1gaTfrOwr4jx+Fx6jQ8z53DmdMnsHRETeTO2wTbTISJ3Ns4BHnzFsHYlQdx6sxZeHqexamTJ3B0/1r0qlMEZTosgnR4EwTnIOIjOI2PHz/i5cuX6id5d3sfWv+ipUobhmuUaIgS2RURI0b0G66urmrwd7XmT6z06LCErQjOo0cRY18319gJkCRpEiRJkhQpUqZA4rjRED9HLay5qp7GD68V/ZA9viviJkqOFMmTGY5PgqRJEyNeND5/FBTuulzW9xEEJyHiIziNM2fOoGLFijh61JjWfPfoZOTROlLbPSJ9h9YL2NX6HHoUS2P+GI70ZbDAw3+r0ONz2uF7c8eqEQtFRHwEwWmI+AhOY9OmTepCv2TJErX9/vUDXDh5EictjEOHDiFz5swoXLgwjh07Zpw/fR63n1FU3uHelfP+jqe4VatWDT/99BNGjJuCJ97+865fP76FcybHcyxcuBAZM2ZEixatcPXei89JDIIgBCsiPoJT8PX1xT///IMYMWJgxIgRatsWt2/fxo8//oiGDRvi2rVr2qx1KlWqhFatWmFAvz7ajHVmzZqFsmXLon79etqMIAjOQMRHcApPnjxBp06d8Ndff6Fdu3a4c8d2bc3MmTPRsmVLtG/fHnPnztVmLbN161aDBdMC//33n7KA3r59q+0xD2NPDRo0wLhx45RoXb9+XdsjCEJwI+IjOAVPT0+UK1cOly5dQpUqVXDw4EFtj2Xq1auH3bt3Y/To0ejevbs2axkeM3HiRFy5ckWJyvHj1lvm0E1Xt25deHh4oFu3bsoFJwiCcxDxEZwCrZE6deqo35s1a4YZM2ao3y1BN1uxYsXw+vVrZdE0adIEjx8HyJ02wdvbW1kvFCu69GhdTZ8+XdtrHv4NdNF9+PBBud/atGmj7REEIbgR8RGCnU+fPqFnz55wc3NT2//++69ywb17Z7lv25w5c/zE4N69e6hevTqOHDmits3BOiBaSowTEVpLdNfxuc1BgeL+8ePHq21aYrTMKHaCIAQ/Ij5CsMMLOoP6zFgjFy9eROnSpXH//n21bQ4mGVCAdOgemz9/vrb1JcOGDVOuMz2RYfPmzWjcuLHF57h8+bKyxI4ePaq2KVp01e3Zs0dtC4IQvIj4CMEOU5opNq9evVLbtEZY70MXmTkoGLRCGIvRGTt2LPr06eNXoGoKxa1p06b+YjZ3795F7dq1sX//fm3GP2vWrEHVqlX9khLoevv7779VJp4gCMGPiI8Q7EyZMkVZJT4+PsoyofgMGjQIw4cPV79zTh/cXrx4scpae/r0qd/8vn37ULNmTTx48MDfOfydFlWtWrXg5eWltjkILR89tqTPc1DABg4ciL59+/rtI4z7MLbE/abH6/sFQQg6RHxM4J0575S3bdum7sp37doVLgf/76tXr1bpzXR1fc2gkOTLlw+TJ09W6dU3b95UP7mP1tCtW7fU3I0bN9TPR48eKQHo0aOHEhrO8ZgLFy7g999/V4WqtGr043kMrRWKDy2gZ8+eqUFLhq64Dh06qGNevHih5tneh9lwlStXxsaNG1WiAuffvHmDnTt3qtiSu7u73zwH/17GhAJ+JvTtlStXKheh6f/b0pg3bx4WLVqkkijC82fM1ti+fbtynfL7yPdP+PYQ8TFh2bJlqo/Yl61XZHzNYNYaBYOWim79UDxKliypUq85pw8ex/jOli1b/I7noPXBmh8mK5jOUyQ6duyISZMmqfeQ+zh4PDsk0FqieHBbnz98+DBKlCihBMd0ngLFpAWKiT7PwefJnz+/2f+bjOAbkSJFUj+ZnCJ8e4j4mMA7fX7YeWHq3LlzuB38sjNVmYNFoV8z6G5jtlpAGGvh4wesraHoMFbDotSAzJ49W2WomcLC0AoVKuD8+fPazGcoTBS4gFlyLCpl9p05GPcZOnSotvWZP/74Q1lFX/ta6cfRIgv4WDKMg69pihQp1HeRGY87duzQ3gXhW0LExwS6RPiB552vEPzQFcc6G1MYB7J0p3v27Fm/2h+d9evXq8QBWirm4MXLtKaIx7HIlW4vc/C9p4XFeJMOrTNm6z1//lybEYIbvs/RokXTtoRvEREfE3TxsaeVi/D1MObBwlD9os4LPrPWLIk/3WIBuyPQgtFrdcyxYMECtG3bVrnPyLlz55Q1ZCmOwJTr8uXLq+4HOhQvuvZstesRggbeIBQsWBBRo0ZV77nwbSLiY4KIj3NhIgHrefTaGgb6S5UqZVEYmIXGdGumXRNaQDzeNCU7IExU4F20LnC0trp06aISEizB5AV2ZNBp1KiR6jMnOAcRn/CBiI8JIj7OhYF8CoEuJkwmYKabNbgcA2NChF0NmLXGxAFLcB+tpQMHDqhtFpbqSzpYgpYURY5QCHm+te4KQtAi4hM+EPExQcTH+UybNk25xZgcwJ9MQ7YGrRwmGDBlevDgwSqd2lK8h3DfgAEDVMNRJj5QrNjk1BqsG2KRK1m3bp1yBZrGgITgRcQnfCDiY4KIj/PhhZ7FoMxoYlBf781miYcPH6qEgLVr1yr3mD2ZUIwhsWiVFg8zzUwTFsxBIaQ7j4kG/fv3R79+/bQ9gjMQ8QkfiPiYIOLjfOgWY21N/fr1VfqxNSuGcD9ToSkOrVu3VnEjWzDJgELFNX70eiBb9O7dW3VhoNCx4FZwHiI+4QMRHxNEfEIGZqwlSJAAS5cu1Wasw75sLAZmZwNriQM6vIAxaeDXX3+1O3bDTgrp0qVTwsjCV8F5iPiED0R8TGArGBEf50PLImvWrCozzR5Y78PjHbFI2MeNKdR0qdkDLaoIESKotYcE5yLiEz4IdvFhixPe0bJynb2aQutgX6+uXbsq8aEFJDgPJgLUqFFDLSBnD6y3YQyHvdnshanTdNPZcuvpsKdbgQIF1LpAgnMR8QkfBKv40NeeM2dORI8eHbFjxw7VI168eKqimuJjuo6M4BwoPNYWlwsIExMcyUBj01haM/aKD4tSeby5Nj9C8CLiEz4IVvFhlXiaNGkQN25c5XNnKxUGcEPj4F1xoUKFxO0mCCGMiE/4IFjFh6mqmTNnVh2B379/r82GXpiKK+IjCCGLiE/4wCniw3VYwsKHiOutiPgIQshiKj72JogIYQ+niU9Y6AgsqdaCEPKYig/jblxWnTG+sDAeP36s2kYJthHxMUHERxBCHooPm8Hyu5g7d26V8h5aB/9GLnrHpCWKZdq0aXHy5EntfyJYQ8THBBEfQQh5KD5FihRBxIgR1VIW7LNXpkyZUDlYO0ahTJYsGXLlyqUa4169elX7nwjWEPExQcRHEEIeU7cbl9EI7Zw6dQrZsmWzuq6U8CUiPiaI+DgHNva8ceOGQ75xHs9O1vby6NEj3LlzR9uyDXvM8Y5VX3ROCDlMxceR9zykYOdztntiV3bBfkR8TBDxcQ7//POP+kzYmwHJjKeKFSvavbw5L169evVCzZo17X6OEydOqN5v/CmELKbiExayZDds2KAK6dkYV7AfER8TRHycA4t6o0SJgitXrmgz1mEz0PTp06ulDeyxTJghRV/8b7/9Znfwl+85i6FtrSckBD8iPuEDER8TRHyCH1oxlSpVws8//4xly5Zps9aZMGGCKlRmPzd7WuqwIzWXUOAyDQsWLNBmLcMCaK6oyl5u7O8nhCwiPuEDER8TRHyCn8OHD6vF4wYOHGjXl5U92diWiSuRcj0etmyyBi2jIUOGqKW5p06dqtblsRW0Zl85rnDKZbwbNmyoajWEkEPEJ3wg4mOCiE/ww8Xc/v77byUiJUuWtHlxYQyGsZvr16+rVUgXLlyo7TEPu1GzQzZXSGVHdVo/Dx480Paah642PjaLBHn87t27tT1CSCDiEz4Q8TFBxCd4oVXCBq5MOOAFhgu1bd++XdtrHr4XdevWVb/PnDkTnTt3Vr9bwt3dHcWLF1eLzDFTqkSJEvDw8ND2mqdp06aqtRJhPMre1U6F4EHEJ3wg4mOCiE/wcvPmTTRo0AD79u1T24MHD0b//v3V7+bgEguMwehiQCuI1hLX87EEay1oWemw6E8XFnMwJZtFglygjtBV16lTpzDRCPdbRcQnfCDiY4KIT/BCK4eJAHSNEaZOV61a1WK9D7PWWN3OdaEIz6tQoYJyqVmiSpUqKuFAZ8aMGSqZwFKW3IoVK9C8eXO/i5zu5rN3YTsh6BHxCR+I+Jgg4hO8MGuNsRUdigov9OfPn9dm/EMRoTjpUKRYv8PkA3NcvHgRpUuXxt27d7UZY/V5qVKlVGGrOdq1a6esJV7wCJMTKHg7duxQ24LzEfEJH4j4mKCLD9f1EYIWutDatGmD6dOnqws83Vq0ZJg+zSwzWiac0wdjNj169MCIESP8judPHlunTh213/R4nk/3HHuB0S1HoeLgxats2bI4evSoOkaf5wWOiQgUNwoNtzlP6OobM2aMej79eP5uyXoSgh5dfMJChwMRn8Ah4mOCLj49e/ZUa/7zQhneB1OWR44c+VWDj9GtWzdVq3P8+HF1QeHy1LRG+vTpo0SJgsE5DtbyMPOscOHCShj42dGP37lzp4r7eHl5KfHSz2H9EIVk1qxZSozYLoePyXPodhs3bpwSLB7HQSFZs2aNEjK27qG4cJ4/WX/Eef4dfAz9HGbc8fHNvU6BGbSwHVkKPDxRtGhRJT5hARGfwCHiY8KcOXOU+PBv5k8ZQTso7gGha411Pw8fPtRmjBw4cEDFb1jnYwqtFWanbd26VZsxwhgNxef06dPazGcWL16sEh0Cwloj0+QEHa4fwyXVKUqmMD3c3P/rawYz87p3766y+JjoEN4HbxT4M0WKFOr1oZs2tLtARXwCh4iPCevXr0eCBAlUKjAvirR+wvtgDQyzxb528AtqDsZnWJezd+9ebcYIs+CGDh36hauL27RMWUhqCoWNadLmYjtsscP298xs06HFwUw4JhwEhC44FpsuX75cmzFCq43ry9D1x/NoObm5ueH777//QlRkBN2gKzU0I+ITOER8TNA7G+vBZyFosfS60vKZNm2atmUUGPZm27x5szbjH1qoFA5dmPi47du3Vy4+c9Cq4nNs2bJFm4EqQKVlZanz9eTJk7+oKaLA8XECcvnyZdW5gT3oZATN4OvJwcxGWqKhGRGfwCHiI4Q4vNDT3aLX7/CCw5RsS+nO3M9OBIz7ENYPWetMwIQBxpboZtOh2FHALEFxYmyJ8SPCeBH/RlrFgmCKiE/gEPERQhy6xdhbjUkGZPTo0SpBgRd8czAOxK4Ha9euVdt0l9J1Zy0tl1YLOyrQWmLmHWMJ1lLq7927px6Td+GEd99M2b5w4YLaFgQdEZ/AIeIjhDgUGaZDs/MBxYEWCV1r1qBLjCJFhg8frsTKGozXUHyYREBhYdsdFrFagn8TU72ZJUdYIEuB1F19gqAj4hM4RHzCID7v3+LVyxd4/uIlXr/90jr45Bv2YlYsHqUrjIWntGr0djeWYAYbA9F0zTVr1sxfVwNz0Cpq1KiRWnVy27ZtSohsMXv2bOXOI0yAsBRTEsI3Ij6BQ8QnzOCNG+cOYOGkwejUthWaN2+GZi3boFP3/hg/cxkOnL2OFy9vYP3Kxdh2zHoX59AIv8BsOso6Ggb1bVkYXIiOcSFm43F9IHsq4ZlWzQw6/uTz2IIB79q1a6vnotUTMCNPEIiIT+AQ8QkDvLx2CJM6V0PGFMmQuUBVdB08AQtXrMXGjeuwdM5k9G7fCJUrVEDV0sWQKdMfGLL2qnZm2EGvrWGKM9vw2AOz1apXr27T5abD1HE+ft68edVn0xZMx+ZaQlwTiHVCAWuRBIGI+AQOEZ9Qzr0jC1A7V3K4uCRExX5LccnCDf4d95Vo8Ucyw3Fp0GOZpzYbdmC6NAP8/KzYu/Q1l9XOmDGj+vLbAy0YChyz2CwlMwSE9UTJkydX8SV2PxCEgIj4BA4Rn1CM9/l1aPi/OKrQLl/HpbD1Cn7wWoYKP2VDgyn7Yb5PdOiG/dRY32PvRZ51QL/99pvdFgldeWw8yn5x9rJq1Sr1+uuZdYIQEBGfwCHiE1r5eBMzW+RSF77IaSpg1Q177tTfYceYnug+fg3CYscw1tYw7mMv7FjAJAJHmk+yzxyTFeyFiQ/MxLPXGhPCHyI+gUPEJ5Ry//B0FEhgbC+Srel8PLMzge31FU8cPekJ44o5YQtaJo52MX71yvxSCZZgjQ+HI7CpqN7xWhACIuITOER8QiXe2DOuCqIZhMfFJQZqT3WHRBss8+LOJXgcP46Tnlfw1L5QjiAEGSI+gUPEJzTy4T7mNftJWT0uLt+jy1ovSLe5L3nmuRlDW1dCnuwZkSplSnyfNiNy/VkR3dxW4or/ZthW8fn4Ad6vXuDZi1d48/4DwmCZlBCCiPgEDhGf0MibW5hYM60mPhnRd3vYS50Obh4dm4dq/0tgfI2iJ8GPOX9FjkzfIap6zWLit3ojceq55Vqh989vYffScWhTrzJKlSiGEmXKokL5sihVshQqVq+PLsPn4NClRxBDSrCFiE/gEPEJjRgsnzlNsmnikwpd1ojlY4rvi9MYWCGden2SFWiF1R538Pbde7x7+xzHlg1E3oQRDPsSob7bLrz94oX7iOt7ZqFBgdRwjZkIv9fqinlbPXDn4SOVwHDr4lEsHNkOf6RLhChxs6LJoEW48kLiPYJlRHwCh4hPqMQbu0ZX0u7io6Li2MNyB+6HD7zW9kVavjbRcmHykSfavM57bBtYHK6G/YlL9cVJf5kXPri8cQR+S+kKlwgJUGHQGtyzEEx7eGIhqmeNbXj9oyF3/XG4IAIkWEDEJ3CI+IRS7h/8B/njU3xckKrMCFyXjAMNX1w/vBB/1SiP8h1n4rqZZDevJS0R2/C6Rfq1Ffab9A59dWEVavwY0/CaRkDW2m64beM1vbFpMLLH4XsQBxWGbYe3mJ+CGUR8AoeIT2jl/U3Map0bEXiHHzMLeq/3v6SzJV56bsGC5Vtxw0InBHYSWLBggeoaHXbThz/hvfczPHv55svkAJ+HWNDGWB+VtupIXPQTp0dY3bsUIvP1jJ0Fg3cHtJjM4H0BIyqnUY8V8fvKWH3duN6QIJgi4hM4RHxCMe8vb0arP5Oqi1/MbNUw9+g9w33/Z7jQmb4AG3ngsQr9unTHrO2X8d6Crjx48EB1Bfjpp5/U0gLfAj4fvPHozk1c8tyP6T2rIZWrC6LGz40h6877vV6f7h9Ep4Lx1GsZO2sT7LXdh9TAK2waVRWxKFgREqH5PNv94ITwh4hP4BDxCeU8O7sWHcpkQXReABP/glbD52H3UU9cvX0fAwYOQudOHXDiwBYsmzYUbVp2wNSN56221uGy0b/88ot6X/TF28I2n3B1nxvKZPkB8WNEVOISIVYm/DXrmL8kjdeea1E1PV1oLkhaYjBu2llnenx+B6Tha+8SDUV6f16GWxB0RHwCh4hPGODTkwtYNaUPahXLicRxYiJRynTIkuNXRI0WA1GiREH5SlXQqf8kbDltu8fZ3bt3kTt3bmTLlk0JUdjnLY7MboEfEibH998l1txqP6Bkg15Y4/7Zsnt5ejUqpTGKT/Lyo/DAzgyOM0v/RiYlPlHxZ/f12qwgfEbEJ3CI+IQh3j+5hbPuB7Ft4xrMnf0vMmTIgFTfp8G67Yfs7oDw7YmPD17cvYSTHmfgecYDe5aNQ5XscZXIxPtfM2y5YvSv+VzfhRa5oqn5xIX74JJdls8ng+XTHqmV+MRCdbcT2rwgfEbEJ3CI+IRR2Actf/78RhG5dVObtc23Jz5fcu/ANBRLwVofV1QYtQuv6H/zuYHpWqPW6OlqYctje1LXXmHTyMqIQfGJnRuT3OUzLHyJiE/gEPEJo3ChMyYOZMmSBZcvX9ZmbRMexAc+tzGjcVYlNKmqTcDdN8bpm7vGI3csg5BESoXOq01ysC3x6iz6l0ypHidrw2m441g/UiGcIOITOER8wijhVnx8vXH5wEpMGDEMC3Z5melgQB5jVY+CSjQSlR6K236Nsp9g6+jaSBrBBfHztsXB+9asn3fYO7EBkvMxfq6PdZcd67YthB9EfAKHiE8YJfyKzyOs6JbP6D4r1B9e3tq8Kd6XMapyKnXMTy0X4PF7w2nvX+MdtebTE+ya1hF5UyVAhqKtsejA1S+6R7y7fxrz+9VChnjRkbVce2zwMrZJ+Oj9Eq+dVOx769Yt/Pvvvw6lw2/fvh3r1q3Ttmxz9epVzJw506EVWnn8t5ElGXSI+AQOEZ8wSvh1u/ng3Kqe+MEgLC6Rf0TP1Re1eR0fnFnWE1mjMUkgDbqv9oIvXuHwmumYu/WOlobuiwdehzDz72rIXaoV1p0z7cHzHP/1qI6CxWth5OK9uK211fn45CqWjhmO9TedU5hLIYkXLx527NihzViHNV/FixdHnTp1tBnbDBo0CFmzZlUL5tnDzZs3VX3Y0qVLtRmBiPgEDhGfMEq4jvk898SompmVZRPp+4LoP3cLTp09B8/T7lgxoSN+SUzhiYSfG7rholpa4SU2Dq2CtJkKoVWPARg6bDhGjXPDuJ718HP2UnDbZxr/uYaR1QugQOWWGDJmHMaMHI6hg/uhdbU/kTl7RSy1r9HEVzN//nz1/6P1Yw/3799H8uTJUaVKFfXZsAUTVkqVKoVixYrZ/RwLFy5Ejhw50KNHD21GICI+gUPEJ4wSrsXHwOtLO9C7ag7Vw40X6QjRYyOmq/F3l0hJUbDJSBy+/V47+iU2Dyxs3PfF+A59tpl0LvD1QOffE5k5zjASF8VSO/IUvpbXr19jwIAByJMnD3r16mXXyqsbN25U37PmzZtj9+7d2qxlTp06hWrVqmHo0KFo0aKFNmudNm3aqGOrVq0K084a4R0Rn8Ah4hNGCe/io3h2BVvmjUanpjVQqmhhFC1ZAY3a9cb0Vftx39/1+gNueWzE1EmTMHHiRJMxCZMmzsfhmyZuN58HOLB6LiZNMj3OMAznTl+4CVcdW7U7UFy/fh21a9fGokWL0KRJE/U9skXXrl1VPKZbt24YO3asNmuZ0aNHK+HZu3cvKleubNNa4meFfxNFrlatWnB3d9f2CCI+gUPEJ4wi4mPCR288ffwIT56+/CaWnti2bZsSBFo8dKNt3rxZ22OeFy9eKPcZ31sK0F9//YUPH6y/EtWrV8eaNWvw7NkzJXC2YksrVqxAs2bN8PjxY/Tv3x8TJkzQ9ggiPoFDxCeMIuLz7TJq1Cj069dP/f73339jzJgxqhu5JShWtErI0aNH0aBBA5XJZglPT08lPufPn1fbtJr4nJbgc/fs2VOJDlmyZInf8wkiPoFFxCeMIuLzbcK0Z7q1tmwxNjFdu3YtmjZtilevVOaEWbp3767caOTly5cqlkNBssS0adPQunVreHsb89S5zViOpZRrJjM0atRIudwI40XlypVTnyVBxCewiPiEUUR8vk1u3LiBIkWKqAs+efjwoXKpWXqPmZxQoUIF7Ny5U5uBEhbGqcxBgWnbtq0/t9nBgweVtXTlyhVtxj9MYKhUqZJfXOjJkydKrFavXq22wzsiPoHDKeLzxx9/+N1lCUED74Tz5cv3VeLDtX2E0MXy5ctVxpppzKZ+/foq5mKOPXv2oG7duv4KP+fOnYv27dub/c7xs8JaoCNHjmgzRmupZs2afpZNQChUFCwduuEGDhwoKdcatFIpPp07d9ZmBHsIVvHhB50Xx7x586pK7Tdv3qgvhIyvG3wdabVQRFgkaOmO1Ry6+LBYkFlV8p6EnkErpmXLlpg0aZK6wLMWh3C7S5cu6nfOm8Z/Bg8erNxu+rHk4sWLyhpil4SA0FqpUaOGKko1hUkK5rLk+Dcx0SCg+HGbosi/OyD8+wL+377Vwe/PypUrlfi0atVKJXCY7jd9XwT/BKv4nDlzBunTp0ecOHFU9XXZsmVRunRpGV85+DrSFRM7dmykS5cOp0+f1l5x21B8eDNA0eIdMx+LxYbmnkeG80aZMmVQsWJF/PzzzyppgBdwCgSXOt+/f796v2mhcE4XDv5s2LChKv4MCGMyAet9eCGkxaInM5jCZdVpLQWMLVHI+N2l+8+UCxcuoF69ejhx4stlJujy4+eqZMmSZv+v39IoX748cuXKhUiRIiFFihTKG6Ff5/j/542BPXVa4ZFgFR9+MFOnTg1XV1ekSpUKadKkUdsyvm7wdeTrydeV2x4eHtorbhtdfDJlyqS+KGnTpsX333//xXPIcO7ge0BXKEWAgmMKYyxMvaYomXL8+HHlQvPy8tJmPtO3b1+VJWcKBYRZauaKUJn5xue4du2aNmNk3rx5yvIJCN2CjRs3Vn9vQGhZ88YoPHzff/jhByRJkgQRIxpX0eVgpwn9O0oR4k2D8CXBHvOh2y179uwqqMkeUrxLl/F1g6/jgQMHlOuMF6zAuN34nvDixbRbc88hI2RGQHcYYZJA7969MW7cOG3GyPTp01WNTkCxIuvXr1fCZOqi43eQd+N0FQWEj8G7ePaUM4XxpwULFmhb/hk2bJhKwTbNkqNQlihRQrmiwsP3nd+fKVOmKLGl8PAmggkI9PowK9CRxrDhDackHBQoUMBm0ZvgGDTlmcjxNQkHLBgUwgbsdmDaNJTtbRjgZjzIHIz3MGuO77fO+PHjVQcES1DgTOM+zLgrWrSo1Sw4ZsmZPgdTw2kRhafvOzMN48ePr8QnY8aMkkVqJ04RH0m1Dnok1Tp8QRc263fYWZqwiJRusnPnzqntgNC6YW0OxYDQOmGigV4/ZA5aSxQT3ZJh5h1rjCz1cWNnBcY3Dh8+rM1ACaK1gtVvEWYJsgM5xYcxbke+j+EZEZ8wiohP+IJZVHSBrVq1Sm1TKCg+lqC7jYWndIsRPXHg0aNHatsc/DwULlzYz5JhvRBdStZgvc+MGTPU78zuYj2QrXZA3xoiPoFDxCeMIuIT/mCWGhMJCH/qXQ0sQSuHGXSEAsF0bXPxIR26ymj5UDxo1TAGxNiiNVhT1K5dO/U7j2X6NVP4wxNcwC9GjBgiPg4i4hNGEfEJfyxbtkxZGnzfWMfDhBFr8PtHVxvFgIkJ7MlmC8Z8hg8fruIYPCdginVA+By0qChcjCl17NjRqsB9i9D1yfgas09FfOxHxCeMIuIT/uD7zLoeXuTZ/83Wmjqs2aG1Q4uJFo2l+JApzHZj/VefPn3UmkK2oNCwOwKtJRaq2rsw3bcEXZx0i/7666+q1kfExz5EfMIoIj7hEyYAsEDYzc1Nm7HO1KlTkSxZMiUm1pqT6jChgUkEtGaYMmwPFEN2yabAMfU4vJI/f35V4yPiYx8iPmEUEZ+wzfuXj/Hw6St88LW8VII56BZjTcmxY8e0Gevs2rULkSNHNlsMag6m8NO6YscFWy43HfaJixYtmjrPtOYnvMHrnIiP/Yj4hFFEfMIuD47NR/0CvyFvxZ44eMOxhruHDh5A0SJFVCcCHx9f2JIuHseiz61bt2oztmGqNK0Ye+FnioJI6yo8I+LjGCI+YRQRnzDK85PoXSKVyoxySVwGa8690HZYx/vJLRxcNws92rdU73utmjXRtFlLtOnQFUMmLsShi/fhbcboYD83Fqg60oKJiQxsq2MvdOexlc++ffu0mfCJiI9jiPiEUb5GfBgYZdzAtA2/4AxeY+OAsohF4eFIWxUbLtjo+/X+MfYvGIiyPyVG9ERpUapBF0xduh479+7Hzk0rMXVoR5TLkw5x4qRE6dbDsO28+Toe0zY79uDo8YKIj6OI+IRRAis+7DXFnnBsA0IhEpzH7a1DkDOeQXRcoyOaPeLz+iYW9yiNZBFcEClxLvRdchTmnHTv7x7D6Ia5EdXwmHEyF4fbzmsIv5GXkEPExzFEfMIoFB+6z9idmq+zvTA9ly3v2aRSWr07j483d6LpL/HgEjMtKrSsiYwUnzRWxOfTU+wYXROJIhmOi5YOnZae13ZY4PU5DKn4g7KoYvxQEUvOPtF2CM5CxMcxRHzCKHw9CxUqpNYSMbdomC3EreJEfG9jTpt8ShgK91mCQztGICvFJ7Vl8Xl0ah5KJDO26U9XdTxu2VG3eXfPaOSMZXhcwzk/N52Nh182yBaCEREfxxDxCaNQPLjI2KZNm2S1xFDOmaVdkN4gCNFztcGx5x9x58Bgo+VjSXw+vcbOERUQmce4JESzBWe1HTZ45IHuBeIq8YmQtBSWXHmt7RCcgYiPY4j4CEIw8tZrFapmigSX2NkxdIvWkXpHP2SwJj5vbmNijbRKRFyi5sbE43bG5j7exMzmOY3nuaZE5zWSzehMRHwcQ8RHEIKLd1cxvmYGgxjEQsk+a/FUM1AvbbchPi+von+xBEYRSVQcC8/YG795gKXdCxvPixgbDWbKRdCZiPg4hoiPIAQLH3FwYj3EMQhBygKdcfT5Z9eoTfF5fROjK6Ywikj8oph3xt5F/yg+hYznRUqIVotvaPOCMxDxcQwRH0EIBp4cno6CKSIgUsoimHnSfwPQuweGIBMFIk1N7LxlJvHD9znW9CigWTDZMeqgnfVYyu2Ww3herDyY5CHfOWci4uMYIj6CEMR8fH4C/cob057/13AcDp46DQ93d7i7n8CJE+5Y808LfE+BSF4Ubiv24OiJ07hyz78FdHPnSPwczXCMS2zU/ue4zTY6ikfu6PK7cVGzZCUH4uJrSURxJiI+jiHiIwhBzNODM/FnQgqHC2IlTIxECROqNf7jx0+ABAnjI27s6IhE8YkUFbHjxEHsBOnRYNwe7WwN79uY0fx/KuMtYYEeOGNHC7gr63ohfRTD48bJhkEbr9knWEKQIeLjGCI+ghDEPHNfilr/S4T4iZMiSaJESGgQH30kSpQQ8eLG8BOfOAbxiZUwAxqO36ud/Zk39w6hd5ksBhGLgSLdluD2B22HGe4fn4dKGWPAJUo6NJywCy/E6HE6Ij6OIeIjCEGM79uXuHvNCxe9LqnvgOm4fPkSts9rhzQUn5QlMXOLBy5evop7T9/oZ+P1w8u4cl+rKvW+gkUDGyBH+owoXK8/tpx75N+i+fgQ22f2RNHsaZE6ZyWMXX1aa63ji5ue5/H4o9g/zkLExzFEfATBydzepxWZpqmB7TcCti7wxbUd49Ch7xJcvvMYr9++g/eLp7h1ehXaliiA6j3/g7/WoReWoHqR/Gg0aBHO3nqEV2/e4s3LJ/A6sBAdmvTHkTdiAjkLER/HEPERBCdzaXtf1fHA5fsqZlOtb2/qifQx4yJT3iIoX6EiKlaqipq1KyFflrQo2GoGbpgYM28PTUXxHBnwe/HKqFm9CipVrIgKZYshe8p4SJa7HY5Jh1GnIeLjGCI+guBkLm7pie8oPknKYa2Z9XzubNb2mxlpaozFBZPM7XubRyJndPPHxs3ZFsft6AknBA0iPo4h4iMITubNs+s4umcP9hw5hydvvlSH99y/z7CfxwQYR87dgrfJKW+f3IT7AfPHHva4glcS8nEaIj6OIeIjCIIQBIj4OIaIjyAIQhAg4uMYIj6CIAhBgIiPY4j4CIIgBAEiPo4h4iMIghAEiPg4hoiPIAhCECDi4xgiPoIgCEGAiI9jiPgIgiAEASI+jiHiIwiCEASI+DiGiI8gCEIQIOLjGCI+giAIQYCIj2OI+AiCIAQBIj6OIeIjCIIQBIj4OIaIjxP49OkTli1bhkGDBuH169farCAI3xIiPo4h4uME3r9/j6pVq8LV1RVXr17VZgXBMg8fPsTGjRvx5MkTbcY6vME5fvw4jhw5os3Y5vbt29i8eTN8fOxf9Gf79u14/PixtiWYIuLjGCI+TuDdu3eoUqUKIkeOLOIj2MXWrVvVzQp/2gNvcAoXLozq1atrM7YZOHAgMmTIAE9PT23GOnfu3EGWLFnw33//aTOCKSI+jiHi4wQoPrR8okaNKuIj2MWCBQvUaqRz5szRZqzz4MEDpEiRQn3Onj59qs1ap3Tp0ihWrBhmz56tzVhn0aJFyJEjB3r27KnNCKaI+DiGiI8TEPERHMHb2xsDBgxAnjx50KdPH2XV2GLTpk3qe9a0aVO1iqktTp8+jWrVqmHw4MFo1aqVNmudNm3aqMfnefb8TeENER/HEPFxAl8rPvyiL168GLt379ZmhG+Z69evo06dOsr6adKkCa5cuaLtsUz37t3xzz//oFu3bhg/frw2a5mxY8cq4aFQ0SX87NkzbY956HLj37R+/XrUrFkTHh4e2h5BR8THMUR8nMDXig+Dz3TBlC1bVpsRvmUY1K9cuTLevHmjPjdbtmzR9pjn5cuXKF68uBKI6dOno23btvjw4YO290t8fX2VgKxatUqJTuPGjbFr1y5tr3l4LIXw0aNH6Nu3LyZNmqTtEXREfBxDxMcJfK343Lt3T8QnHDFq1Cj069dP/d61a1dlpTCbzRIUK4oJYbZbw4YNce3aNbVtjvPnzyvXGX+SLl26qOe0Ru/evf3+piVLlqB27drqd+EzIj6OIeLjBL5WfO7fv6/Ep1y5ctqM8K1Ci4UXdqZAkzVr1qg4i7X6MCYA6OLB4/hZoyBZYsaMGWjdujXevn2rtqdNm4YWLVooi8gcTGagoG3YsEFtnzx5Un0WeVMkfEbExzFEfJyAiI9gLzdu3EChQoXUe074s2jRohY/N4wHli9fHjt27NBmoIRl4sSJ2pZ/KDBMHDCNCx08eBANGjSw+ByMC1WqVEm53Ahrj5o1a4a1a9eqbcGIiI9jiPg4AREfwV6WL1+uLuymMZt69eqpmIs59u3bpxIBbt68qc1ApU536NBBZc0FhMkLdevWxaFDh7QZqO9mrVq1VMacOdzc3JSgmcIaoV69emlbAtHFx54EEUHExymI+Aj2QtEIGMznNrPZzDFkyBC17+PHj9qMMaZDa+jWrVvazGfoxqtRo8YXwsQkBcaWAkI3XvPmzVV7KFMokvXr1zcrcOGVAgUKqFor3WoVrCPi4wREfAR7oIDQvbV//35txsjRo0dVNlvA2hpe+BmLYUq2KWyXw89KwAw2utzYX5C1QwFhMWv79u2/iC1dvHhRFaIy49KUCxcuKIvsxIkT2sxnRo4cqbot0F3Ic7/1wf8nR7x48RAlShR1veN2wYIFVcKItczD8IzTxOfFixfabPiDFw1mF32t+PBuVvh2YUYbL/ZMsTaFsRaKEnu3meLu7q6SE7y8vLSZzzA7bdy4cdqWEQoI3Wvm0qppLTG9O+Dnk8JGN2BAKGSNGjXCvHnztJnPsDg2QoQIiBEjBqJHj/7ND/4/OSJGjKj+39GiRVPb/Jk/f368evVKe2UEU5wiPnwDHGle+C3CVFh+GL9GfCpWrKjNCOEJ3jn36NEDEyZM0GaMzJw5U9XomIPJAIztmKZoHz58WFlQllxlARMXCF1uAS0rnaFDh6pMO9PvNm8yedfP+BGTJxj/+NYH09r5f82ZMycSJ06sXkP9/84mrNbS5MMzwSo+586dQ/r06VUQrmPHjupujF+i8DQYlKXpnSlTJnWXFJhMGIoPhYuvJR+PX3jTwTm+tvqgW8V0sCiQNRr66N+/v99gGxcGj/VBt4w+WAHPmII+eLEJOIYNG+Y3hg8fjhEjRvgNul/0wVRgjtGjR/sbY8aM8RuMOeiDd+3MyNIHL7z6YABcH8zq0gdjI/qYPHkypkyZ4jemTp3qN9gJQB9MM9YHCzT1wXRkXtz1MWvWLL/x77//+g0G9/VB15U+5s6dq6wC0zF//nw1eDHXx8KFC/0Ge6exk4U+uF+3UrhNMdGhK7dz585fxId0ePGj68s0HZqvHT+LlghoLdFSoluJN5Hm4EWW1g+LW3WYjk1BDI9Lh/z2229IkCCBSk0XbBOs4kN3Ae+0eNcuw0WJjzkXiS0oPvxQm3tMGd/2SJkypVr6gDEWxg31Cz3vttkW5+zZs2o7IHTdURjWrVuntmmd0Pq2lNFGaC0xhqTHKJhUwBqjgG5AHbqTypQpoywqHYobbzYs1Qx9y7D1EG9OTJM/BMsEq/gQpoDyw8nUzvA4GCxmnQRrNxjzoSnuKBSfSJEiqdgZK9j5eh44cMBvMEDNlNu9e/f6DT4nB/vBcfAOmmPnzp1q8K5VHyxI3LZtm2rfbzrY1oXFjhy8aHFwjRkO3uFy8AvHwYscBy9gzKjiWL16tRpME+ZYuXKlGitWrFAXNn0wk4pt+jmWLl2qBqvo9cG7floFuoVgajnQktAtC1obuuVhapHQQtGtFloxtGr0QStHt3xoCZlaSBy0mmhF6RaVqaVFy0u3xmid0WrQh27B0aLTrTzd+tOtQVqHtBY5dOvR1KqkJcq/kRd/urPoAtNTrvmaM0Zj6SJPVw+fm5YxYSyJN4J6rY45KGy0lu7evau2WQ/E/7s1txH/Jr6mhH8nBVEvkBUEawS7+AhGeNf5tQkHEvMJ3+juU8KfFDBrUAQqVKigfqdA0PVtLfZKi4fFprzpYFyIMSDe3FiDQt+uXTv1O2+K6BpkY1RBsIWIjxOQVGshKKCFyDY4tFB4IxIw+y0gdPGypodiQPcZLUhb0FqiqNFaZuwmYIp1QPgcJUqUUMJFS9CWwAmCjoiPExDxEYICBv4Zk6Gbj5a0pViMDoP+bBpK9x1rcuxZsZQuWFovTD5gMoqtTC0KDQWOblpaQHRtCoI9iPg4AREfISjghZ7LGnApa8ac7IFxrCRJkqisR3vqTZglx+7ptGb0RqK2oBhSgCiMZ86c0WYFwToiPk5AxEcIKpi4ECdOHJV4Yg9MMokcObJKxrAHdrqmiHCJbXu7VjOxhpX9tK6kpkWwFxEfJyDiIwQVzGD8888/lYViD/y8MYPNkQw0Zt9RSOyF2XEUH9a1CYK9iPg4AREfIahgHIeuNHsLGVlzwvR0R5a9ZtseZrHZC915TCtnur8g2IuIjxMQ8RGCGkfdW+IOE0IbIj5OQMRHEATBPyI+TuBrxYeBX4oPW5kIgiB8C4j4OIGvFR8W+lF8ZEkFQRC+FUR8nMDXig/XA2K/M6a0CuGHNw8uYNuyfzFhzEgMHz0B/y7dggsPrBeWWuLZNXesnjsFY0aOwNjJs7D+oBdkDVIhJBHxcQJfKz5CeOM5ds3ohj8zJUesqK6qqawaUWIi+Y8F0X3GLsMRdvLpETZNaIs8aRIjumtEv8eKkSAl/mwwEHtvvtMOtIQPXj+9gzOHtmPVsiVYuHARli5fg12Hz+DO01eQ/s1CYBHxcQIiPoL9fMCxGc2RJgqXVIiFXys0Qb9RbnAb1ReNyuRANBfDfJTUaD7jiOFIG/i+w8EZLZA6guGcCAmQv2Z7DJ8wEUO6NkbuFJGVK/fH8v1x8qX5TLgXN49hRr9GyJMlA7LnK4kGbbpj4KCB+Lt9U1Qo9Cuy5ciH+r2n4cAly52yBcESIj5OgOLDVvOsNA/MkgpC+OHTvY2okT6qQSziouKADfB3Wfe5g/+6F0dsg2hEy1ADG+5aXzPnw939aJk9ikFk4qHiwDV4qs2TB4cno3Ayw76IydFqdsCebz64eWAGKv+S0LA/MUp2nAb3O/7dfT7PLmLJoDpIFdMF0TMUxdBVZxA4h6AQXhHxcQLs+MsuxK6urtJuXrDKtQUtEdcgLq4GcdlszqC4thzl01GcvkO31dYLTR+cmoI8tHqSlcUKz4Ari77CjHpZlPXze5t5eKHNkkenFxqeI5ayvEr0Xo4n2vyXeGPf+FpIYniOCAnzYNRWseoF+xHxcRJcXI3NIC2tny8I5Pquf9GuQV20HbQYt7Q5fzzbgYY5YhuEISFaz7+mTZrn0dkZyBfJID5JS2DRyZfarM4rTNfFp+2Cz+LjfR1utTKo+bi52uCgrUYKHzzRo3BydXySwl1xVFaQFuxExEcQQhGffH3w4d1bvHv/EeYiMc/3jEWuRBHgEiMrRh0MaM34x+fxKfQoGNcgDBFRrPtCXH+lR4ne4fae8SiQlLGgNOiy1MvvuZ6cmIrfYhnmXVxRctAGfxaRJQ6PrIgYBvFxiZwVA9Z+fixBsIaIT6jhNS6f2IM1y7mU9CrsPnYW126cxf6de3DE/SROnz6txqkTR7F3z24c83po5kv+AQ+vnMTe3ftx/CSPP4VjB/fg4KkreGkzOi2Eet5dxdhaORDBcKFPVqQfPN9q8xb5hGv7ZqFuvsyIFz0R8lVtjSFjxmNo98bIkzoO4n//E+r0X4rr77XDDVyc0xhxKCQuqdFl2UlYjyoZubexp5YgER1VRm6yS7AEQcQnxPGF1+4F6Fy3HIqVrobWXfti+Lh/sfXwKXie3onJPZujYPYfkCp1GqRJkwbp/1cEzXtNwLoj18xcGN7hmvsGDGtTDb/+mBrff5cKOYvWw4Q1x/DIVkatELrxfYL1A6sgeUTDRT5+LozYfkfbYYsnWDOoOlJEpjj4H6n+bI2N1/yvOuoxtgpcuT9CNgxcf1Gbtc7jw6PwcwzjYxbpuQzW1z4VBCMiPiHJ+1tYMbQefkwcF1nLdMSqo1fxxQLEb+9j65iaSKhdMJKW7IMTNoo8fJ7tQsNscRAteSFMO3hTajHCOj73sXZITSSjgETJiBZTDtiXWfbqKv7tWAIpY0ZA5OS/oFGPcVi4bBnmTR6EOvnTGSyo6Ej7R0Mscf+cUnBhdiPN8smEPmtsr3xKHh8Yjp+i8ZyoqDhsvf01SEK4RsQnpHh7CVPbFkb0CC74tdk/uGItD+HtefQumlSJT8xfW2HfHRvOkHvrUeOXH1Hb7ag2IYRVPr32wsxOpVUGnEuUTGjltgOv7Aqq+OLs/FZIzPOSF8bYLRdh6qXzfnQCw6tlVZ+pdJWG4LT2+XvsPhl5lBWTEE1mHYSJR84it1e0R1Jm1UXMiN6rzkvMR7ALEZ+Q4OMjLO1eErEMX/yU5QbjnO3VjXFuaQekZOaSS3K0nHvCii/+Iw671UO2PI2w6+EXdpQQhvC+sx/9a+ZCJApI/FzoMfeQPwGxysf7GF+ZWWiuKNbjP7PWiPepqcjL5IK4eTFx72Pj5OtrGFstjRKlLI1mwdZ9DuOMazvnU8fHz9cOB+9q04JgAxEfp+OLiyt7ICPdFPELYOZx+5wUH5+6o9ufCdSXPMEf3eDx3MJV4fkh/FUoCyoO2WH/hUoIdTz3Wo8Wf6ZV73ecjKUxYfNFxyyKN6fR+dfohvNT4K857tqkfz69PowWP0YyHPMD/l7y2cX2wGMeSqeNAZeYP2PkDutq8uLULBRKYvgsx/sZg+2MEQkCEfFxMh+fu6PL78b011/bLcAjwxXl9b1L8Dh+HOdvPrFygfmA47NbIyUDzhGTo/XiC9q8KZ9wfuFf+Cl7RSy7KNITVvG+vAHN8iVTwpOqQBMsP61ZJY7w/ir6F+bnLDZqj91hthXPp0ebUe27iHBxzYwBa/x33rh1aDZq5k6MeBlLYfyG02ZiTO9wYdt0VM6SAFG+y49+S0/KzY7gECI+TubG6s74znBRYX+uWh36Y0Dn+ihZIC9+yvQD0qTLhCJ1e2H9uWfa0f7xub8Pf/2eWF2Ukv/ZA6cDXhFenceAstlRqNNSPBPHe9jktSeGVjQWeaYq1BIbrthzSffFx/fv8ObtO3z4qFnEn95iS99C6nESFeqAPV8kx/ni6NQGKpEl8o/VsOayQZ4+XsCSuRtwT3vKdw8vYPnoDihVvDz+nmMaP/yIc5tHo0Ku31Gn1xTs89LF8TqWzl8K9wuWeyIIgo6Ij1N5g//a5FJ1GpFip0aZVkOwat9pXLt+HSfWT0bV7HHUxSJxjlr4z9NcIMgXhyY3QFJaP1FTo9PSAHer2wbh16yFMfWY5BuFTXxwelYLYzp1hAT4vWYXjHcbi+FDh2KoyRgyeDAGj5iIjSe1/jtvPTCmeUX8UaA8+s8/7GflvLi4ElXTs7ebC36q/DdWHbqAq9dv4Nrl89g4tSNyxDU8j0sCVBu+2bi8gvchtCuUBxVa9cWUmbMxb+FiLJ0zAS3K50fpjkvwuaT1FbaOa4J8f9TB6PmLsHjhAsyZPROjOldGpt/qYu0Z+fwJthHxcSa+XuhbLKW6GKQu2xvuATLcnrpPQ5GUvFhExP8a/YN75vIF7m5Hg5xGkUpdpi/O6o/hew9T6+dBnoZTYG8FiBDK8PFEz4JJ1Htre0RCNbdTxvNebUSFhMb53zsuM3F/+cBrmxvKZdMf0xWJU3yHpHFcjdsxUqFy9zm4pH+G3h5B4/T64/sfWetMNPlcPcO6XvnNHucSrww2XLAjg0YI94j4OJOPh9E2VyL1Jf1fQzd82ZnrGWY2y6OK/KJkqojlZlt3fcCBUdUQh3fHsTKjz2pjo9JXJ/5BwWx5MXi7tLcPs3y8ha0LJmP48OHGMWwYhlkaIyd9tnw+XMeGGWMM54zG8n2XvqgVe+q1F9OHdkWDKqXx5x/5UKBoOTRo2xuz1h0xfOJM8LmP7fPczDzvcMxZd9wkY+4NLu1ZjGHDvzxu+LS1uPZU2mkIthHxcSY+Huj0m1F88rWcYdZCOTejKZLwDjLZ75h6yPyX+NPdLaj9Y0zD40RAphqjcP3NR2zoXhg5Kw7CFfneCxbw8X6Oh/fv4+GTl18WMwuCkxHxcSpPMKVmOiU+2eqOxSUzSQFPN/TC97RqviuCuWcsZQ18wJ7h5YzNHOP8hv6ThqLy77+hyzJpaS8IQthAxMfJnJlZXxWXxs7VDDtufykuj9Z0RVLD/kR/dIKHlR4qb66vR410XI0yIuLGjY7UJfp/jv8IgiCEckR8nMyHB/vRJkcsuLj+gF4rL2mzn9k1oBSiRoiLhjM8rHQxMODrjY2DSiEmrR+XxGix4Ky2QxAEIfQj4hMC3Nw+Er8ncUG8XM2x7drnBNanJxejQubkyNtkMq7Z0TnS23MZyiR3QcRsrXH4obQPFQQh7CDiEyL44NLm8aiQMx1+LtYII/6Zh9lu/dGgXAnU6zUHXvZ1jjRYPw+wsEd9tB67GZLcKghCWELEJwT5+PQa9q5djH9nzsKilZvhfuk+3jvYmcDXxwc+vg6eJAiCEMKI+AiCIAhOR8RHEARBcDoiPoIgCILTEfERBEEQnI6IjyAIguB0RHwEQRAEpyPiIwiCIDgdER9BEATB6Yj4CIIgCE5HxEcQBEFwOiI+giAIgtMR8REEQRCcDPB/uLtEaPanvZsAAAAASUVORK5CYII=)
In the steady state, the charge on the capacitor capacity
is
![](data:image/png;base64,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)
Physics-General
Physics-
Current coming from the battery and ammeter reading are
![](data:image/png;base64,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)
Current coming from the battery and ammeter reading are
![](data:image/png;base64,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)
Physics-General