Question

At what frequency will an 80.0 mF capacitor have a reactance of $0.250\textrm{ }\Omega$?

Final Answer

$7.96\textrm{ Hz}$

### Solution video

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 82 (Problems & Exercises)

vote with a rating of
votes with an average rating of
.

### Calculator Screenshots

Video Transcript

This is College Physics Answers with Shaun Dychko. We want to know at what frequency will an 80.0 millifarad capacitor have a capacitive reactance of 0.250 ohms? So the formula for capacitive reactance is 1 over 2

*π*times frequency times capacitance and we can solve for*f*by multiplying both sides by*f*divided by capacitive reactance so the frequency then is 1 over 2*π*times reactance times capacitance. So that's 1 over 2*π*times 0.250 ohms times 80.0 times 10 to the minus 3 farads, which is 7.96 hertz.