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Question

A coil having an area A0 is placed in a magnetic field. The field intensity changes from B0 to 4B0 in time interval of ‘t’. The magnitude of emf induced in the coil will be _____.

A
A0B0t
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B
3A0B0t
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C
3B0A0t
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D
4B0A0t
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Solution

The correct option is B 3A0B0t
The emf induced in a coil of turns N, area of cross section A is given by

emf=Δ(BA)t =A0(4B0B0)

where B2B1 is the change in the magnetic field.
e=3A0B0t

Hence, the magnitude |e|=3A0B0t

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