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  • A 12 V battery connected to a coil of resistance 6   through a switch, drives a constant current in the

A 12 V battery connected to a coil of resistance 6 \Omega  through a switch, drives a constant current in the circuit.
The switch is opened in 1 ms. The emf induced across the coil is 20 V. The inductance of the coil is :

Option: 1

 8 mH 


Option: 2

 10 mH


Option: 3

 12 mH


Option: 4

5 mH


Answers (1)

\begin{aligned} & \mathrm{e}=-\mathrm{L} \frac{\mathrm{di}}{\mathrm{dt}} \\ & \mathrm{i}_1=\frac{\mathrm{E}}{\mathrm{R}}=\frac{12}{6}=2 \mathrm{~A} \\ & 20=-\mathrm{L}\left(\frac{0-2}{10^{-3}}\right) \\ & \mathrm{L}=10 \mathrm{mH} \end{aligned}

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Kshitij

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