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

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

NEETNEET 2022Electromagnetic Induction

Solution:

$i _{\max }=\frac{ E _{\max }}{ R }=\frac{ NBA \omega }{ R }$
$i _{\max }=\frac{1000 \times 2 \times 10^{-5} \times \pi\left(10^{2}\right) \times 2}{12.56}$
$i _{\max }=1 A$