Question

A simple ac circuit consists of an inductor connected across the terminals of an ac power source. If the frequency of the ac source is decreased by a factor of four, what happens to the reactance of the inductor?

a. It decreases by a factor of eight.

b. It increases by a factor of two.

c. It increases by a factor of eight.

d. It decreases by a factor of four.

e. It increases by a factor of four.

Answer 1

When the frequency of an AC source connected to an inductor is decreased, the reactance of the inductor increases by a factor of four.

Step-by-step explanation:

When the frequency of an AC source connected to an inductor is decreased, the reactance of the inductor increases.

The reactance of an inductor, also known as inductive reactance (XL), is given by the formula XL = 2πfL, where f is the frequency of the AC source and L is the inductance.

Since the frequency is decreased by a factor of four, the reactance of the inductor increases by a factor of four as well.