Time constant of an inductive circuit

Increases with increase of inductance and decrease of resistance

Answer

Increases with the increase of inductance and the increase of resistance

Increases with the decrease of inductance and decrease of resistance

Increases with decrease of inductance and increase of resistance

Answer: Option A

Solution

Answer: Option A

Solution:

Time constant (τ) of an inductive circuit is defined as the time required for the current to reach approximately 63.2% of its final steady value after a sudden change in voltage.

The formula for the time constant in an RL (Resistor–Inductor) circuit is:

τ = L / R

Where:
L = Inductance in Henry (H)
R = Resistance in Ohms (Ω)

From the formula, we can see that:
1. If inductance (L) increases, the time constant increases.
2. If resistance (R) decreases, the time constant increases.

Therefore, the time constant increases with increase of inductance and decrease of resistance.

Correct Answer: Option A