FCC Exam Question: 3-14B4

What is the meaning of the term “time constant of an RL circuit”? The time required for the:

A. Current in the circuit to build up to 36.8% of the maximum value.
B. Voltage in the circuit to build up to 63.2% of the maximum value.
C. Current in the circuit to build up to 63.2% of the maximum value.
D. Voltage in the circuit to build up to 36.8% of the maximum value.
Correct Answer: C

Explanation: The time constant ($\tau$) of an RL circuit is a fundamental characteristic that describes the circuit's transient response. It is defined as the time required for the current flowing through the inductor to build up to approximately 63.2% of its maximum steady-state value after a voltage is applied. This exponential build-up occurs because inductors inherently oppose sudden changes in current. Options A and D are incorrect because 36.8% represents the percentage *decay* from an initial value (e.g., current decay in an RL circuit or voltage decay in an RC circuit). Options B and D are incorrect because, while related, the time constant for an *RL circuit* is fundamentally defined in terms of *current* change. The equivalent definition for an RC circuit typically refers to capacitor voltage.

Pass Your FCC Exam!

Study offline, track your progress, and simulate real exams with the GMDSS Trainer app.


Includes Elements 1, 3, 6, 7R, 8, and 9.