The correct answer is: A. Increases with increase of inductance and decrease of resistance.
The time constant of an inductive circuit is the time it takes for the current in the circuit to reach 63.2% of its final value after being switched on. It is given by the formula:
$$\tau = \frac{L}{R}$$
where $L$ is the inductance of the circuit and $R$ is the resistance of the circuit.
As you can see from the formula, the time constant is proportional to the inductance and inversely proportional to the resistance. This means that
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