A conducting ring of radius $$1$$ m is placed in an uniform magnetic field B of $$0.01$$ T oscillating with frequency $$100$$ Hz with its plane at right angles to B. What will be the induced electric field?

Question

Infinity Learn · Accepted Answer

In a constant magnetic field, conducting ring oscillates with a frequency of $$100$$ Hz.i.e., $$T=1100s$$, in time $$T2$$ flux links with coil changes from BA to zero.⇒ Induced emf, $$e=$$ Change in flux  Time $$=BAT/2=2BAT=2B$$×π$$r2T=2$$×$$0.01$$×π×$$121/100=4$$$$π$$VInduced electric field along the circle, using Maxwell equation ∮   E.$$dl=$$−dϕ$$dt=$$−$$AdBdt=e$$⇒$$E=12$$$$π$$r×π$$r2$$×$$dBdt=e2$$$$π$$$$r=4$$$$π$$$$2$$$$π$$$$r=2V/m$$

A conducting ring of radius 1 m is placed in an uniform magnetic field B of 0.01 T oscillating with frequency 100 Hz with its plane at right angles to B. What will be the induced electric field?

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