Question

What voltage must be applied to an 8.00 nF capacitor to store 0.160 mC of charge?

Final Answer

$20.0\textrm{ kV}$

### Solution video

# OpenStax College Physics, Chapter 19, Problem 50 (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. What voltage is needed to store 0.160 millicoulombs on an 8.00 nanofarad capacitor? So I have expressed these quantities without prefixes so the 'nano' becomes times 10 to the minus 9 and the 'milli' becomes 10 to the minus 3 and then we look at our formula here which says capacitance is charge divided by voltage and we can solve for

*V*by multiplying both sides by*V*over*C*and this leaves us with the voltage is the charge divided by the capacitance. So that's 0.160 times 10 to the minus 3 coulombs divided by 8.00 times 10 to the minus 9 farads which is 20.0 kilovolts.