Physics-
General
Easy

Question

A conducting ring of radius r with a conducting spoke is in pure rolling on a horizontal surface in a region having a uniform magnetic field B as shown, v being the velocity of the centre of the ring. Then the potential difference V subscript 0 end subscript minus V subscript A end subscript is –

  1. fraction numerator B v r over denominator 2 end fraction    
  2. fraction numerator 3 B v r over denominator 2 end fraction    
  3. fraction numerator negative B v r over denominator 2 end fraction    
  4. fraction numerator 3 B v r over denominator 2 end fraction    

The correct answer is: fraction numerator negative B v r over denominator 2 end fraction


    Considering pure rolling of OA about A: the induced emf across OA will be :
    open vertical bar stack e with rightwards arrow on top close vertical bar equals fraction numerator B omega left parenthesis r right parenthesis to the power of 2 end exponent over denominator 2 end fraction
    From Lenz law, O will be the negative end, while A will be the positive end.
    text Hence  end text v subscript 0 end subscript minus v subscript A end subscript equals negative fraction numerator B omega r to the power of 2 end exponent over denominator 2 end fraction

    Related Questions to study

    General
    physics-

    AB and CD are fixed conducting smooth rails placed in a vertical plane and joined by a constant current source at its upper end. PQ is a conducting rod which is free to slide on the rails. A horizontal uniform magnetic field exists in space as shown. If the rod PQ is released from rest then

    AB and CD are fixed conducting smooth rails placed in a vertical plane and joined by a constant current source at its upper end. PQ is a conducting rod which is free to slide on the rails. A horizontal uniform magnetic field exists in space as shown. If the rod PQ is released from rest then

    physics-General
    General
    physics-

    AB is a resistance less conducting rod which forms a diameter of a conducting ring of radius r rotating in a uniform magnetic field B as shown. The resistors R subscript 1 end subscript and R subscript 2 end subscript do not rotate. Then current through the resistor R1 is

    AB is a resistance less conducting rod which forms a diameter of a conducting ring of radius r rotating in a uniform magnetic field B as shown. The resistors R subscript 1 end subscript and R subscript 2 end subscript do not rotate. Then current through the resistor R1 is

    physics-General
    General
    physics-

    A uniform magnetic field of induction B is confined to a cylindrical region of radius R. The magnetic field is increasing at a constant rate of fraction numerator d B over denominator text  dt  end text end fraction (tesla/second). An electron of charge q, placed at the point P on the periphery of the field experiences an acceleration:

    A uniform magnetic field of induction B is confined to a cylindrical region of radius R. The magnetic field is increasing at a constant rate of fraction numerator d B over denominator text  dt  end text end fraction (tesla/second). An electron of charge q, placed at the point P on the periphery of the field experiences an acceleration:

    physics-General
    parallel
    General
    physics-

    In the circuit shown in figure, the switch S was initially at position 1. After sufficiently long time, the switch S was thrown from position 1 to position 2. The voltage drop across the resistor at that instant is :

    In the circuit shown in figure, the switch S was initially at position 1. After sufficiently long time, the switch S was thrown from position 1 to position 2. The voltage drop across the resistor at that instant is :

    physics-General
    General
    physics-

    Two identical conducting rings A & B of radius R are in pure rolling over a horizontal conducting plane with same speed (of center of mass)u but in opposite direction. A constant magnetic field B is present pointing inside the plane of paper. Then the potential difference between the highest points of the two rings, is:

    Two identical conducting rings A & B of radius R are in pure rolling over a horizontal conducting plane with same speed (of center of mass)u but in opposite direction. A constant magnetic field B is present pointing inside the plane of paper. Then the potential difference between the highest points of the two rings, is:

    physics-General
    General
    physics-

    A vertical conducting ring of radius R falls vertically with a speed V in a horizontal uniform magnetic field B which is perpendicular to the plane of the ring :

    A vertical conducting ring of radius R falls vertically with a speed V in a horizontal uniform magnetic field B which is perpendicular to the plane of the ring :

    physics-General
    parallel
    General
    physics-

    A and B are two metallic rings placed at opposite sides of an infinitely long straight conducting wire as shown. If current in the wire is slowly decreased, the direction of induced current will be :

    A and B are two metallic rings placed at opposite sides of an infinitely long straight conducting wire as shown. If current in the wire is slowly decreased, the direction of induced current will be :

    physics-General
    General
    physics-

    Figure shows a square loop of side 1 m and resistance 1 capital omega. The magnetic field on left side of line PQ has a magnitude B = 1.0T. The work done in pulling the loop out of the field uniformly in 1 s is

    Figure shows a square loop of side 1 m and resistance 1 capital omega. The magnetic field on left side of line PQ has a magnitude B = 1.0T. The work done in pulling the loop out of the field uniformly in 1 s is

    physics-General
    General
    physics-

    A constant force F is being applied on a rod of length 'l' kept at rest on two parallel conducting rails connected at ends by resistance R in uniform magnetic field B as shown

    A constant force F is being applied on a rod of length 'l' kept at rest on two parallel conducting rails connected at ends by resistance R in uniform magnetic field B as shown

    physics-General
    parallel
    General
    physics-

    Switch S is closed for a long time at t = 0. It is opened, then:

    Switch S is closed for a long time at t = 0. It is opened, then:

    physics-General
    General
    physics-

    In the figure shown, the magnet is pushed towards the fixed ring along the axis of the ring and it passes through the ring

    In the figure shown, the magnet is pushed towards the fixed ring along the axis of the ring and it passes through the ring

    physics-General
    General
    physics-

    In the figure shown the section EDFG is fixed. A rod having resistance 'R' is moved with constant velocity in a uniform magnetic field B as shown in the figure. DE & FG are smooth and resistance less. Initially capacitor is uncharged. The charge on the capacitor:

    In the figure shown the section EDFG is fixed. A rod having resistance 'R' is moved with constant velocity in a uniform magnetic field B as shown in the figure. DE & FG are smooth and resistance less. Initially capacitor is uncharged. The charge on the capacitor:

    physics-General
    parallel
    General
    physics-

    Figure shows three regions of magnetic field, each of area A, and in each region magnitude of magnetic field decreases at a constant rate alpha. If stack E with rightwards arrow on top is induced electric field then value of line integral text ∮ end text stack E with bar on top times d stack t with bar on top along the given loop is equal to

    Figure shows three regions of magnetic field, each of area A, and in each region magnitude of magnetic field decreases at a constant rate alpha. If stack E with rightwards arrow on top is induced electric field then value of line integral text ∮ end text stack E with bar on top times d stack t with bar on top along the given loop is equal to

    physics-General
    General
    physics-

    PQ is an infinite current carrying conductor. AB and CD are smooth conducting rods on which a conductor EF moves with constant velocity V as shown. The force needed to maintain constant speed of EF is.

    PQ is an infinite current carrying conductor. AB and CD are smooth conducting rods on which a conductor EF moves with constant velocity V as shown. The force needed to maintain constant speed of EF is.

    physics-General
    General
    physics-

    A wooden stick of length 3 lambda is rotated about an end with constant angular velocity omega in a uniform magnetic field B perpendicular to the plane of motion. If the upper one third of its length is coated with copper, the potential difference across the whole length of the stick is

    A wooden stick of length 3 lambda is rotated about an end with constant angular velocity omega in a uniform magnetic field B perpendicular to the plane of motion. If the upper one third of its length is coated with copper, the potential difference across the whole length of the stick is

    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.