Physics-
General
Easy

Question

Figure shows a straight wire of length l current i. The magnitude of magnetic field produced by the current at point P is

  1. fraction numerator square root of 2 mu subscript 0 end subscript i over denominator pi l end fraction    
  2. fraction numerator mu subscript 0 end subscript i over denominator 4 pi l end fraction    
  3. fraction numerator square root of 2 mu subscript 0 end subscript i over denominator 8 pi l end fraction    
  4. fraction numerator mu subscript 0 end subscript i over denominator 2 square root of 2 pi l end fraction    

The correct answer is: fraction numerator square root of 2 mu subscript 0 end subscript i over denominator 8 pi l end fraction


    The given situation can be redrawn as follow.

    As we know the general formula for finding the magnetic field due to a finite length wire
    B equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction. fraction numerator i over denominator r end fraction left parenthesis sin invisible function application phi subscript 1 end subscript plus sin invisible function application phi subscript 2 end subscript right parenthesis
    Here phi subscript 1 end subscript equals 0 to the power of o end exponent comma   phi equals 4 5 to the power of o end exponent
    therefore B equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction. fraction numerator i over denominator r end fraction open parentheses sin invisible function application 0 to the power of o end exponent plus sin invisible function application 4 5 to the power of o end exponent close parentheses equals fraction numerator mu subscript 0 end subscript over denominator 4 pi end fraction. fraction numerator i over denominator square root of 2 l end fraction rightwards double arrow B
    equals fraction numerator square root of 2 mu subscript 0 end subscript i over denominator 8 pi l end fraction

    Related Questions to study

    General
    physics-

    In figure shows three long straight wires P, Q and R carrying currents normal to the plane of the paper. All three currents have the same magnitude. Which arrow best shows the direction of the resultant force on the wire P

    In figure shows three long straight wires P, Q and R carrying currents normal to the plane of the paper. All three currents have the same magnitude. Which arrow best shows the direction of the resultant force on the wire P

    physics-General
    General
    physics-

    A wire carrying a current i is placed in a uniform magnetic field in the form of the curve y equals a sin invisible function application open parentheses fraction numerator pi x over denominator L end fraction close parentheses 0 less or equal than x less or equal than 2 L. The force acting on the wire is

    A wire carrying a current i is placed in a uniform magnetic field in the form of the curve y equals a sin invisible function application open parentheses fraction numerator pi x over denominator L end fraction close parentheses 0 less or equal than x less or equal than 2 L. The force acting on the wire is

    physics-General
    General
    physics-

    Two very thin metallic wires placed along X and Y-axis carry equal currents as shown here. AB and CD are lines at 45 degree with the axes with origin of axes at O. The magnetic field will be zero on the line

    Two very thin metallic wires placed along X and Y-axis carry equal currents as shown here. AB and CD are lines at 45 degree with the axes with origin of axes at O. The magnetic field will be zero on the line

    physics-General
    parallel
    General
    physics-

    An electron moving with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field Error converting from MathML to accessible text. which exists to the right of y-axis. The electron exits from the region after some time with the speed v at co-ordinate y, then

    An electron moving with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field Error converting from MathML to accessible text. which exists to the right of y-axis. The electron exits from the region after some time with the speed v at co-ordinate y, then

    physics-General
    General
    physics-

    The unit vectors stack i with hat on top comma   stack j with hat on top   text and  end text stack k with hat on top are as shown below. What will be the magnetic field at O in the following figure

    The unit vectors stack i with hat on top comma   stack j with hat on top   text and  end text stack k with hat on top are as shown below. What will be the magnetic field at O in the following figure

    physics-General
    General
    physics-

    AB and CD are long straight conductor, distance d apart, carrying a current I. The magnetic field at the midpoint of BC is

    AB and CD are long straight conductor, distance d apart, carrying a current I. The magnetic field at the midpoint of BC is

    physics-General
    parallel
    General
    physics-

    A proton accelerated by a potential difference 500   K V moves though a transverse magnetic field of 0.51   T as shown in figure. The angle thetathrough which the proton deviates from the initial direction of its motion is

    A proton accelerated by a potential difference 500   K V moves though a transverse magnetic field of 0.51   T as shown in figure. The angle thetathrough which the proton deviates from the initial direction of its motion is

    physics-General
    General
    physics-

    In the following figure a wire bent in the form of a regular polygon of n sides is inscribed in a circle of radius a. Net magnetic field at centre will be

    In the following figure a wire bent in the form of a regular polygon of n sides is inscribed in a circle of radius a. Net magnetic field at centre will be

    physics-General
    General
    physics-

    In the given figure net magnetic field at O will be

    In the given figure net magnetic field at O will be

    physics-General
    parallel
    General
    physics-

    A uniform conducting wire ABC has a mass of 10g. A current of 2A flows through it. The wire is kept in a uniform magnetic field B equals 2 T. The acceleration of the wire will be

    A uniform conducting wire ABC has a mass of 10g. A current of 2A flows through it. The wire is kept in a uniform magnetic field B equals 2 T. The acceleration of the wire will be

    physics-General
    General
    physics-

    Same current i = 2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is

    Same current i = 2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is

    physics-General
    General
    physics-

    A particle with charge q, moving with a momentum p, enters a uniform magnetic field normally. The magnetic field has magnitude B and is confined to a region of width d, where d less than fraction numerator p over denominator B q end fraction, The particle is deflected by an angle theta in crossing the field

    A particle with charge q, moving with a momentum p, enters a uniform magnetic field normally. The magnetic field has magnitude B and is confined to a region of width d, where d less than fraction numerator p over denominator B q end fraction, The particle is deflected by an angle theta in crossing the field

    physics-General
    parallel
    General
    physics-

    Two thick wires and two thin wires, all of the same materials and same length form a square in the three different ways P, Q and R as shown in fig with current connection shown, the magnetic field at the centre of the square is zero in cases

    Two thick wires and two thin wires, all of the same materials and same length form a square in the three different ways P, Q and R as shown in fig with current connection shown, the magnetic field at the centre of the square is zero in cases

    physics-General
    General
    physics-

    An infinitely long, straight conductor AB is fixed and a current is passed through it. Another movable straight wire CD of finite length and carrying current is held perpendicular to it and released. Neglect weight of the wire

    An infinitely long, straight conductor AB is fixed and a current is passed through it. Another movable straight wire CD of finite length and carrying current is held perpendicular to it and released. Neglect weight of the wire

    physics-General
    General
    physics-

    A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ be in equilibrium

    A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ be in equilibrium

    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.