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  4. When current in a coil changes from 5 A to 2 A in 0.1 s, an average voltage of 50 V is produced. The self - inductance of the coil is :

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Q. When current in a coil changes from $5 \,A$ to $2 \,A$ in $0.1\, s$, an average voltage of $50\, V$ is produced. The self - inductance of the coil is :

JEE MainJEE Main 2015Electromagnetic Induction

Solution:

According to Faraday’s law of electromagnetic induction,
Induced emf, $e =\frac{Ldi}{dt}$
$50 = L\left(\frac{5-2}{0.1\,sec}\right)$
$\Rightarrow L = \frac{50\times0.1}{3} = \frac{5}{3} = 1.67\, H$