Physics-
General
Easy

Question

There exists a uniform but time varying magnetic field B = a + bt normal to plane of paper in a cylindrical region as shown. A rectangular conducting loop is placed as shown. Induced emf in branches AB and BC are

  1. pi R to the power of 2 end exponent b divided by 20    
  2. 2 R to the power of 2 end exponent b comma 0    
  3. 0 comma pi R to the power of 2 end exponent b divided by 8    
  4. 0 comma pi R to the power of 2 end exponent b divided by 4    

The correct answer is: 0 comma pi R to the power of 2 end exponent b divided by 8

Related Questions to study

General
physics-

In given figure, a wire loop has been bent so that it has three segments: segment ab (a quarter circle), bc (a square corner), and ca (straight). Here are three choices for a magnetic field through the loop:

text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
Where stack B with rightwards arrow on topis in milliteslas and t is in seconds. If the induced current in the loop due to stack B with rightwards arrow on top subscript 1 end subscript comma stack B with rightwards arrow on top subscript 2 end subscript text  and  end text stack B with rightwards arrow on top subscript 3 end subscriptare i subscript 1 end subscript comma i subscript 2 end subscript text  and  end text i subscript 3 end subscriptrespectively then

In given figure, a wire loop has been bent so that it has three segments: segment ab (a quarter circle), bc (a square corner), and ca (straight). Here are three choices for a magnetic field through the loop:

text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
Where stack B with rightwards arrow on topis in milliteslas and t is in seconds. If the induced current in the loop due to stack B with rightwards arrow on top subscript 1 end subscript comma stack B with rightwards arrow on top subscript 2 end subscript text  and  end text stack B with rightwards arrow on top subscript 3 end subscriptare i subscript 1 end subscript comma i subscript 2 end subscript text  and  end text i subscript 3 end subscriptrespectively then

physics-General
General
physics-

Three wire loops and an observer are positioned as shown in the figure. From the observer's point of view, a current I flows counterclockwise in the middle loop, which is moving towards the observer with a velocity v. Loops A and B are stationary. This same observer would notice that

Three wire loops and an observer are positioned as shown in the figure. From the observer's point of view, a current I flows counterclockwise in the middle loop, which is moving towards the observer with a velocity v. Loops A and B are stationary. This same observer would notice that

physics-General
General
physics-

At t = 0 a charge q is at the origin and moving in the y-direction with velocity stack v with rightwards arrow on top equals v stack j with hat on topin a magnetic field that is for y > 0 out of page and given by B subscript 1 end subscript stack z with hat on top text  and for  end text y less than 0into the page and given negative B subscript 2 end subscript stack z with hat on top.The charge's subsequent trajectory is shown in the sketch. From this information, we can deduce that

At t = 0 a charge q is at the origin and moving in the y-direction with velocity stack v with rightwards arrow on top equals v stack j with hat on topin a magnetic field that is for y > 0 out of page and given by B subscript 1 end subscript stack z with hat on top text  and for  end text y less than 0into the page and given negative B subscript 2 end subscript stack z with hat on top.The charge's subsequent trajectory is shown in the sketch. From this information, we can deduce that

physics-General
parallel
General
physics-

A conducting bar rolls down a slope made of conducting rails. The bottom ends of the rails are connected by another conducting rail as shown in the figure. There is a uniform magnetic field B pointing upward. Due to the bar's motion, there is an induced current in the bar-rail circuit. What is the direction of the magnetic force on the bar?

A conducting bar rolls down a slope made of conducting rails. The bottom ends of the rails are connected by another conducting rail as shown in the figure. There is a uniform magnetic field B pointing upward. Due to the bar's motion, there is an induced current in the bar-rail circuit. What is the direction of the magnetic force on the bar?

physics-General
General
physics-

A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field stack B with rightwards arrow on topdirected into the paper. AO = l and OC = 3l. Then

A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field stack B with rightwards arrow on topdirected into the paper. AO = l and OC = 3l. Then

physics-General
General
physics-

A capacitor of capacitance 0.1 mu F is connected to a battery of emf 8V as shown in the fig. Under steady state condition

A capacitor of capacitance 0.1 mu F is connected to a battery of emf 8V as shown in the fig. Under steady state condition

physics-General
parallel
General
physics-

In the circuit shown in the figure, switches S1 and S2 have been closed for a long time

In the circuit shown in the figure, switches S1 and S2 have been closed for a long time

physics-General
General
physics-

In the circuit shown, the switch is shifted from position 1 rightwards arrow 2 at t = 0. The switch was initially in position 1 since a long time. The graph between charge on capacitor C and time 't' is

In the circuit shown, the switch is shifted from position 1 rightwards arrow 2 at t = 0. The switch was initially in position 1 since a long time. The graph between charge on capacitor C and time 't' is

physics-General
General
physics-

In the circuit shown, the charge on the 3mu F capacitor at steady state will be

In the circuit shown, the charge on the 3mu F capacitor at steady state will be

physics-General
parallel
General
physics-

The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.

The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.

physics-General
General
physics-

The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.

Which list below places the capacitors in order of increasing capacitance?

The figure below shows four parallel plate capacitors : A, B, C and D. Each capacitor carries the same charge q and has the same plate area A. As suggested by the figure, the plates of capacitors A and C are separated by a distance d while those of B and D are separated by a distance 2d. Capacitors A and B are maintained in vacuum while capacitors C and D contain dielectrics with constant k = 5.

Which list below places the capacitors in order of increasing capacitance?

physics-General
General
Physics-

While measuring diameter of a wire using a screw gauge the main scale reading is 7mm and zero of circular scale is 35 divisions above the reference line. If the screw gauge has a zero error of -0.003cm , the correct diameter of the wire is (given least count = 0.001cm)

While measuring diameter of a wire using a screw gauge the main scale reading is 7mm and zero of circular scale is 35 divisions above the reference line. If the screw gauge has a zero error of -0.003cm , the correct diameter of the wire is (given least count = 0.001cm)

Physics-General
parallel
General
Physics-

The main scale of vernier callipers is divided into 0.5mm and its least count is 0.005cm. Then the number of divisions on vernier scale is

The main scale of vernier callipers is divided into 0.5mm and its least count is 0.005cm. Then the number of divisions on vernier scale is

Physics-General
General
Physics-

The Vernier constant of a Vernier Callipers is

The Vernier constant of a Vernier Callipers is

Physics-General
General
physics-

Two identical capacitors 1 and 2 are connected in series. The capacitor 2 contains a dielectric slab of constant K as shown. They are connected to a battery of emf V0 volts. The dielectric slab is then removed. Let Q1 and Q2 be the charge stored in the capacitors before removing the slab and Q1 ¢, and Q2 ¢ be the values after removing the slab. Then

Two identical capacitors 1 and 2 are connected in series. The capacitor 2 contains a dielectric slab of constant K as shown. They are connected to a battery of emf V0 volts. The dielectric slab is then removed. Let Q1 and Q2 be the charge stored in the capacitors before removing the slab and Q1 ¢, and Q2 ¢ be the values after removing the slab. Then

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.