Question

1. what happens to inductive reactance in a circuit if the frequency input decreases?

a r decreases.
b ( x_{l} ) increases.
c ( x_{l} ) decreases.
d ( x_{l} ) remains the same.

Explanation:

Step1: Recall the formula for inductive reactance

The formula for inductive reactance \(X_{L}\) is \(X_{L} = 2\pi fL\), where \(f\) is the frequency and \(L\) is the inductance.

Step2: Analyze the relationship between \(X_{L}\) and \(f\)

Since \(X_{L}\) is directly proportional to \(f\) (\(X_{L}\propto f\), with \(L\) constant), when \(f\) decreases, \(X_{L}\) will also decrease.

Answer:

C. \(X_{L}\) decreases.