The inductive reactance of a 20-mH inductor at a certain frequency is 120 Ω. What is the frequency in rad/s?
A) 2000 rad/s
B) 4000 rad/s
C) 5000 rad/s
D) 6000 rad/s
E) 7000 rad/s

Question

Quizplus · Accepted Answer

The formula for inductive reactance is given by:

XL = 2πfL

where XL is the inductive reactance, f is the frequency, and L is the inductance in henries.

Substituting the given values, we get:

120 Ω = 2πf(20 × 10^-3 H)

Simplifying, we get:

f = 120/(2π × 20 × 10^-3)

f ≈ 6000 rad/s

Therefore, the frequency in rad/s is 6000 rad/s, which is option D.

The Inductive Reactance of a 20-MH Inductor at a Certain