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A coil of 40 henry inductance is connected in series with a resistance of 8 ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is

1. 20 seconds
2. 5 seconds
3. 1/5 seconds
4. 40 seconds

Correct answer: 5 seconds

Solution

The time constant of an LR circuit is given by τ = L/R, where L is the inductance and R is the resistance. Substituting the given values, τ = 40 H / 8 Ω = 5 seconds.

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