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

$1.33 \textrm{ nF}$

Solution Video

OpenStax College Physics Solution, Chapter 23, Problem 81 (Problems & Exercises) (0:39)

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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 2 mega ohms given a frequency of 60 hertz. So the reactance for capacitor is 1 over 2 <i>Pi</i> times frequency times capacitance. So we need to solve this for <i>C</i>. So multiply both sides by <i>C</i> over capacitance and we get capacitance is 1 over 2 <i>Pi F</i> reactance. So that's 1 over 2 <i>Pi</i> times 60 hertz times 2 times 10 to the 6 ohms which gives a capacitance of 1.33 nanofarads.