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Q.

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:

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answer is 200.

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Detailed Solution

Change in flux Δϕ=ΔQRWhere 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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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: