Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition
17
Electric Potential
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17-1 to 17-4: Electric Potential
17-5: Potential Due to Point Charges
17-6: Electric Dipoles
17-7: Capacitance
17-8: Dielectrics
17-9: Electric Energy Storage
17-10: Digital
17-11: TV and Computer Monitors

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 39
Q

The charge on a capacitor increases by 15  μC15 \; \mu \textrm{C} when the voltage across it increases from 97 V to 121 V. What is the capacitance of the capacitor?

A
0.63μF0.63\mu\textrm{F}
Note: while the working in the video is correct I made a careless error turning the scientific notation into a decimal. The correct final answer is written above, not the final answer in the video.
Giancoli 7th Edition, Chapter 17, Problem 39 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The change in the amount of charge on the capacitor is equal to capacitance times V Two minus capacitance times V One and if we factor out the C, we see that the change in capacitance or change in charge, I should say, Q two minus Q one equals capacitance times the change in voltage. And so we can divide both sides by Delta V and we get capacitance is Delta Q over Delta V. So that's 15 times ten to the minus six coulombs divided by a 121 volts minus 97 volts which gives about 63 microfarads.

COMMENTS
By sanghoonwilliamk on Sun, 9/25/2016 - 4:45 AM

i think this should be .63 microfarads

By Mr. Dychko on Sun, 9/25/2016 - 7:40 PM

Thanks sanghoonwilliamk, you're totally right. 0.63 μF0.63 \textrm{ }\mu\textrm{F} is correct. While the working is correct in the video, I made a careless error turning the scientific notation into a decimal, and I put a note about this in the quick answer.

Thanks for the sharp eye!
Mr. Dychko

By sanghoonwilliamk on Mon, 9/26/2016 - 8:45 PM

Okay gotcha~ thanks for the clarification.

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