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  • A rectangular coil of 20 turns and area of cross-section 25 sq. cm has a resistance of . If a magnetic f

A rectangular coil of 20 turns and area of cross-section 25 sq. cm has a resistance of 100 \Omega. If a magnetic field which is perpendicular to the plane of the coil changes at a rate of 1000 tesla per second, the current in the coil is

Option: 1

1.0 ampere


Option: 2

50 ampere


Option: 3

0.5 ampere


Option: 4

5.0 ampere


Answers (1)

best_answer

\mathrm{\begin{aligned} \mathrm{e}= & -\frac{\mathrm{d} \phi}{\mathrm{dt}} \text { and } \mathrm{i}=\frac{\mathrm{e}}{\mathrm{R}} \\ \therefore \quad \mathrm{i} & =-\frac{1}{\mathrm{R}} \frac{\mathrm{d} \phi}{\mathrm{dt}}=-\frac{1}{\mathrm{R}} \frac{\mathrm{d}}{\mathrm{dt}}(\mathrm{n} \mathrm{B} \mathrm{A}) \\ & =-\frac{\mathrm{nA}}{\mathrm{R}} \frac{\mathrm{dB}}{\mathrm{dt}}=-\frac{20 \times\left(25 \times 10^{-4}\right)}{100} \times 1000 \\ & =-0.5 \mathrm{amp}=|0.5| \mathrm{amp} . \end{aligned} }
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vishal kumar

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