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Questions  

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

a
π volt/m
b
2 volt/m
c
10 volt/m
d
62 volt/m

detailed solution

Correct option is B

In a constant magnetic field conducting ring oscillates with a frequency of 100 Hz.i.e. T=1100s, in time  T4 flux links with coil changes from  BA  to zero. ⇒ Induced emf =  change in fluxtime=BAT/4=4BAT=4B×πr2T=4×0.01×π×121/100=4πV Induced electric field along the circle, using Maxwell equation ∮E.dl=−dϕdt=AdBdt=e⇒E=12πr×πr2×dBdt=e2πr=4π2πr=2 V/m

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