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avolp

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## Homework Statement

A parallel plate capacitor with capacitance C is charged to a value q and then isolated. The separation between the plates is then tripled. What was the work required to separate the capacitors?

## Homework Equations

U=1/2CV^2

Q=CV

C=ε0A/d

## The Attempt at a Solution

W=ΔU=1/2C

_{1}V

_{1}^2-1/2C

_{2}V

_{2}^2

=1/2C*(Q/C)^2-1/2*(C/3)*(Q/C)^2

=Q^2/3C

I tried this but this wasn't the correct answer and I can't figure out why. Thank you in advance for the help