A 20.0 kHz, 16.0 V source connected to an inductor produces a 2.00 A current. What is the inductance?
Question by OpenStax is licensed under CC BY 4.0
Final Answer

63.7 μH63.7 \textrm{ }\mu \textrm{H}

Solution video

OpenStax College Physics for AP® Courses, Chapter 23, Problem 85 (Problems & Exercises)

OpenStax College Physics, Chapter 23, Problem 85 (PE) video thumbnail

In order to watch this solution you need to have a subscription.

Start free trial Log in
vote with a rating of votes with an average rating of .

Calculator Screenshots

  • OpenStax College Physics, Chapter 23, Problem 85 (PE) calculator screenshot 1
Video Transcript
This is College Physics Answers with Shaun Dychko. A 20 kilohertz, 16 Volt source is connected to an inductor and the current of 2 amps flows and the question is what is the inductance? So we know the current is going to be the voltage divided by the reactance and the reactance for an inductor is 2 Pi times frequency times inductance. So we need to solve this for L. So multiply both sides by L over I and we get that the inductance is voltage divided by 2 Pi frequency times current. So that’s 16 volts divided by 2 Pi times 20 times 10 to the 3 hertz times 2 amps which is 63.7 microhenry's.