Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

8. as frequency decreases, inductive reactance ________. a multiplies b…

Question

  1. as frequency decreases, inductive reactance ________. a multiplies by two b stays the same c increases d decreases

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 \(f\) (because \(X_L = 2\pi fL\), and \(2\pi L\) is a constant for a given inductor), when \(f\) decreases, \(X_L\) also decreases.

Answer:

d. decreases