At time \(\mathrm{t}=0\) magnetic field of \(1000\) Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to \(500\) Gauss, in the next \(5 \;\mathrm{s}\), then induced \(EMF\) in the loop is ........\( \mu \mathrm{V}\)

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Answer & Solution

Correct Answer

(C) \(56\)

Step-by-step Solution

Detailed explanation

\(\frac{\mathrm{dB}}{\mathrm{dt}}=100\)

\(A=16 \times 4-4 \times 2=56 \mathrm{cm}^{2}\)

\(\varepsilon=\frac{\mathrm{d} \mathrm{B}}{\mathrm{dt}} \mathrm{A}=100 \times 10^{-4} \times 56 \times 10^{-4}\)

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