Sample Problem- Connecting Charged Capacitors

Sample Problem- Connecting Charged Capacitors - Conecting...

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Conecting Charged Capacitors A typical kind of problem: Take a bunch of capacitors, charge them (to varying degrees), then connect them together and allow them to equilibrate. What is final state (either charge or potential difference)? Example: The equipment: Two capacitors have capacitances 1 4μF C = and 2 16μF C = . The initial setup: The capacitors are separately charged (not connected to each other, using different power supplies) so that 1 30V V = and 2 10V V = . The problem: The capacitors are removed from any power supplies or batteries, and connected to each other in a negative to positive orientation. What is the final potential difference across capacitor 1? NOTE: This is exactly the sort of problem for which it is easy to look at a solution and think “Oh yeah, I get that,” but then when you go do actually do the problem, you get stuck or mess up some minus signs. You are strongly encouraged to try this before you look at the solution on the next pages.
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Solution: Note: This is not the only way to solve this problem.
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This note was uploaded on 05/22/2008 for the course PHYS 125 taught by Professor Iyer during the Spring '08 term at SUNY Geneseo.

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Sample Problem- Connecting Charged Capacitors - Conecting...

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