At what frequency will a 20.00-mH inductor have an inductive reactance of 100.0 Ω?
A) 225.4 Hz
B) 654 .8 Hz
C) 795.7 Hz
D) 457.4 Hz
E) None of the other answers is correct.

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.

We are given L = 20.00 mH and XL = 100.0 Ω.

Substituting the values, we get:

100.0 Ω = 2πf (20.00 mH)

Solving for f, we get:

f = 100.0 Ω / (2π x 20.00 x 10^-3 H)

f = 795.7 Hz (rounded to three significant figures)

Therefore, the answer is C.

At What Frequency Will a 20