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Q.

The current in an $R L$ circuits drops from $1.0 A$ to $1 m A$ in the first second following removal of the battery from the circuit. If $L$ is $10 H$ , find the resistance $R$ in the circuit.

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a

26 ohm

b

46 ohm

c

69 ohm

d

38 ohm

answer is D.

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Detailed Solution

We have, $i = i_{0} e^{\frac{- t R}{L}}$

or $10^{- 3} = 1 \times e^{\frac{- 1 R}{10}}$

$\Rightarrow$ $R = 69 Ω$

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