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Hello, I'm using Halliday and Resnick's Fundamentals of Physics, 10th edition. It has some equations in it...

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Physics

Hello,
I'm using Halliday and Resnick's Fundamentals of Physics, 10thedition. It has some equations in it that seem to contradict eachother. I know the problem is with me though, not the equations.Electric potential energy is given as U=VQ (equation 24-3), where Qis charge and V is voltage. We also have the equation, Q=CV(equation 25-1), where C is capacitance. So, it looks like we couldsay U=CV^2 (substituting CV from 25-1 for Q in 24-3). I know thatwe cannot, since U=1/2CV^2 (equation 25-22), but I don't see wherethe problem in my reasoning is.... any help would be appreciated!(Barney style please!)   Thanks!

Darrell

Answer & Explanation Solved by verified expert
3.9 Ratings (492 Votes)
The condition where we apply UqV U is the potential energy gained by a particle of charge q when it is displaced from a position where potential is V1 to the position where potential is V2 such that VV2 V1 In the above condition it is assumed that potential in space is defined irrespective of the charge q In other words the potential exist even if the charge q    See Answer
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