A conducting ring of radius 1   m is placed in a uniform magnetic field B , of 0 . 01   tesla oscillating with frequency 100   Hz with its plane at right angles to B → . What will be the induced electric field?

Step-by-step solution

In a constant magnetic field, conducting ring oscillates with a frequency of 100   Hz . i.e., T = 1 1 0 0   s , in time T 2 to zero. ⇒ Induced emf = change in flux time = B A T / 2 = 2 B A T = 2 B × π r 2 T = 2 × 0 .01 × π × 1 2 1 / 100 = 4 π   volts The induced electric field along the circle, using Maxwell equation, is, ∮ E → · d l → = - d ϕ d t = A d B d t = e ⇒    E = 1 2 π r × π r 2 × d