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Q.

The  magnetic flux ϕ through a coil varies with time t as shown in Fig.

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Which graph shown in Fig. best represents the variation of induced emf e in the coil with time t.

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a

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b

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c

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d

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answer is D.

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Detailed Solution

The graph shown in Fig. is a sine curve. Hence

ϕ=ϕ0sinωt=ϕ0sin2πtT

Induced emf is

e=dt=ϕ0×2πTcos2πtT=e0cos2πtT

It is clear that the correct choice is (4).

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The  magnetic flux ϕ through a coil varies with time t as shown in Fig.Which graph shown in Fig. best represents the variation of induced emf e in the coil with time t.