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Q.

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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a

π V/m

b

2 V/m

c

10 V/m

d

62 V/m

answer is B.

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Detailed Solution

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×πr2T=2×0.01×π×121/100=4πVInduced electric field along the circle, using Maxwell equation ∮   E.dl=−dϕdt=−AdBdt=e⇒E=12πr×πr2×dBdt=e2πr=4π2πr=2V/m
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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?