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Chapter 23: Problem 4
Charge is spread over the surface of a balloon, which is then allowed to expand. What happens to the energy of the electric field?
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An uncharged capacitor has parallel plates \(5.0 \mathrm{cm}\) on a side, spaced \(1.2 \mathrm{mm}\) apart. (a) How much work is required to transfer \(7.2 \mu \mathrm{C}\) from one plate to the other? (b) How much work is required to transfer an additional \(7.2 \mu \mathrm{C} ?\)
You're given three capacitors: \(1.0 \mu \mathrm{F}, 2.0 \mu \mathrm{F},\) and \(3.0 \mu \mathrm{F} .\) Find (a) the maximum, (b) the minimum, and (c) two intermediate capacitances you could achieve using combinations of all three capacitors.
Two widely separated 4.0 -mm-diameter water drops each carry 15 nC. Assuming all charge resides on the drops' surfaces, find the change in electrostatic potential energy if they're brought together to form a single spherical drop.
A charge \(Q_{0}\) is at the origin. A second charge, \(Q_{x}=2 Q_{0},\) is brought from infinity to the point \(x=a, y=0 .\) Then a third charge \(Q_{y}\) is brought from infinity to \(x=0, y=a\). If it takes twice as much work to bring in \(Q_{y}\) as it did \(Q_{x}\), what's \(Q_{y}\) in terms of \(Q_{0} ?\)
A parallel-plate capacitor is connected to a battery that imposes a potential difference \(V\) between its plates. If a dielectric slab is inserted between the plates, what happens to (a) the potential difference, (b) the capacitance \(C\), and (c) the capacitor charge \(Q\) ?
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