Question

What capacitance should be used to produce a $2.00 \textrm{ M}\Omega$ reactance at 60.0 Hz?

Final Answer

$1.33 \textrm{ nF}$

Solution Video

#### Sign up to view this solution video!

View sample solution## Calculator Screenshots

Video Transcript

This is College Physics Answers with Shaun Dychko.
We want to calculate what capacitance would be needed to create a capacitive reactance of two mega ohms given a frequency of 60 hertz. So the reactance for capacitor is 1 over 2

*Pi*times frequency times capacitance. So we need to solve this for*C*. So multiply both sides by*C*over capacitance and we get capacitance is 1 over 2*Pi F*reactance. So that's one over two*Pi*times 60 hertz times 2 times tenth to the six ohms which gives a capacitance of 1.33 nano farads.