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Q.

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.

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a

b

c

d

answer is D.

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Detailed Solution

The graph shown in Fig. is a sine curve. Henceϕ=ϕ0sin⁡ωt=ϕ0sin⁡2πtTInduced emf ise=−dϕdt=−ϕ0×2πTcos⁡2πtT=−e0cos⁡2πtTIt is clear that the correct choice is (4).
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