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Magnetic flux and induced emf

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Question

Due to change in magnetic flux linked with a coil of resistance 10 ohm, a current is induced in it. The variation of induced current i in amperes) with time t (in seconds) is shown in figure. The magnitude of change in flux through the coil (from t = 0 to t = 2 seconds) in Webers is:

Moderate
Solution

Change in flux Δϕ=ΔQR

Where ΔQ is charge that has passed through loop and R is loop resistance.

Δϕ=12×base×height×R=12×20×2×10=200 weber. 


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