First slide

Magnetic flux and induced emf

Question

A conducting ring of radius r and resistance R rolls on a horizontal surface with constant velocity v. The magnetic field B is uniform and is normal to the plane of the loop. Choose the correct option.

Easy

A

The induced emf between O and Q is Brv.
B

An induced current I = 2Bvr/R flows in the clockwise direction.
C

An induced current I = 2Bvr/R flows in the anticlockwise direction.
D

No current flows.

Solution

Induced emf between O and Q is
$\frac{1}{2} B ω (2 r)^{2} = B ω 2 r^{2} = 2 B v r$
But net induced emf in the ring will be zero. Hence no current flows in the ring.

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