First slide
Magnetic flux and induced emf
Question

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

Moderate
Solution

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=dt=AdBdt=e
E=12πr×πr2×dBdt=e2πr=4π2πr=2V/m

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