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A circular current carrying loop is placed in a uniform magnetic field B which is perpendicular to the plane of the circular loop. Find the force on the circular loop of radius R and the current in the loop is I.

A circular current carrying loop is placed in a uniform magnetic field B which is perpendicular to the plane of the circular loop. Find the force on the circular loop of radius R and the current in the loop is I. Correct Answer 0

CONCEPT:

  • As the current-carrying conductor experiences a force when placed in a magnetic field, each side of a current-carrying circular coil experiences a force in a magnetic field.
  • Consider a circular coil of length l and breadth b carrying a current I placed in a uniform magnetic field B and θ be the angle between the plane of the circular coil and the magnetic field.

 

Force acting on the circular loop:

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F = I L B sinθ, where F is force, I = current, L = distance from the axis, B = strength of the magnetic field, θ = angle between the plane of the circular coil and the magnetic field.

  • Acting on the left and right sides are equal and opposite along the same line of action, they cancel each other. Hence net force on the loop is equal to zero. So option 4 is correct.

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  • Whenever a current carrying loop is placed in a uniform magnetic field then the net force on the loop is zero. But there will be some torque on the loop.

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