Question Detail

PHY 102 Test Compilation PHY 102 15 Objective Question

Question

When a battery, a resistor, a switch, and an inductor form a circuit, and the switch is closed, the inductor acts to oppose the change in the current. How is the time constant of the inductor affected by doubling its inductance?
Options
A The time constant would increase to four times its original value.
B The time constant would increase to twice its original value.
Correct Answer
C The time constant would remain the same.
D The time constant would decrease to one-half its original value.
Correct Answer

Option B is the correct answer.

Detailed Explanation

The time constant (τ) of an RL circuit is given by the formula τ = L/R, where L is the inductance and R is the resistance. If the inductance (L) is doubled while the resistance (R) remains constant, the time constant τ will also double.

Hint

Recall the formula for the time constant of an RL circuit.

Question Info