Question

An RL circuit consists of a 20.0 kHz, 16.0 V source connected to an inductor, producing a 2.00 A current. What is the inductance?

a) 0.4 H
b) 0.8 H
c) 1.0 H
d) 1.2 H

Answer 1

The inductance of the circuit is 0.4 H.

Step-by-step explanation:

When a 20.0 kHz, 16.0 V source is connected to an inductor, producing a 2.00 A current, the inductance can be calculated using the formula:

Inductance (L) = Voltage (V) / (Angular frequency (ω) x Current (I))

Angular frequency (ω) can be calculated by multiplying the frequency (f) by 2π.

Plugging in the values, we get:

ω = 2π x 20.0 x 10^3 Hz = 40.0π x 10^3 rad/s

L = 16.0 V / (40.0π x 10^3 rad/s x 2.00 A) = 0.4 H

Therefore, the inductance of the circuit is 0.4 H.