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A coil of 40 henry inductance is connected in series with a resistance of 8ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is20 seconds5 seconds1/5 seconds40 seconds

Question

A coil of 40 henry inductance is connected in series with a resistance of 8ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is20 seconds5 seconds1/5 seconds40 seconds

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Solution

The time constant of an RL circuit (a circuit with a resistor and inductor) is calculated by the formula:

τ = L / R

where: τ is the time constant, L is the inductance, and R is the resistance.

Given that L = 40 Henry and R = 8 ohm, we can substitute these values into the formula:

τ = 40 H / 8 Ω = 5 seconds

So, the time constant of the circuit is 5 seconds.

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