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  • A big circular coil of turns and average radius is rotating about its horizontal diameter at <img alt="2\;rad\;

A big circular coil of 1000 turns and average radius 10m is rotating about its horizontal diameter at 2\;rad\; s^{-1}. If the vertical component of the earth's magnetic field at the place is 2\times10^{-5}T and the electrical resistance of the coil is 12.56\Omega, then the maximum induced current in the coil will be :

Option: 1

1.5A


Option: 2

1A


Option: 3

2A


Option: 4

0.25A


Answers (1)

best_answer

\mathrm{e=e_{0} \sin \omega t}

\mathrm{Peak\; emf\; induced =e_{0}=n A B \omega}

\mathrm{i_{\text {peak }}= Maximum\;induced \;current}

\mathrm{=\frac{e_{0}}{R}=\frac{n A B W}{R}} \\

\mathrm{i =\frac{1000 \times\left(\pi \times(10)^{2} \times 2 \times 10^{-5} \times 2\right)}{12.56}=1 A }

Hence correct option is 2.

Posted by

Devendra Khairwa

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