Question

A conducting ring of radius r is placed in a varying magnetic filed perpendicular to

the plane of the ring. If the rate at which the magnetic field varies is x, the electric

field intensity at any point of the ring is​

Answer 1

All points on the ring are at the same potential.

Explanation:

ϕ = πr²B

Let R = resistance of the ring, then the current in the ring i = e / R.

Consider a small element dl on the ring.

emf induced in the element = (2πre​) dl.

Resistance of the element = dR= (2πrR​)dl.

Potential difference across the element = −idR + de

 = −(Re​) (2πrR​) dl + (2πre​) dl

 = 0

We infer that all points on the ring are at the same potential.