Time constant of an inductive circuit
A. Increases with increase of inductance and decrease of resistance
B. Increases with the increase of inductance and the increase of resistance
C. Increases with the decrease of inductance and decrease of resistance
D. Increases with decrease of inductance and increase of resistance
Answer: Option A
Solution (By Examveda Team)
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

The time constant is calculated using the formula: τ = L/R, where L is the inductance in Henries and R is the resistance in Ohms.