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Chapter 23: Problem 22
The "memory" capacitor in a video recorder stores program recording information during power outages. It has capacitance \(4.0 \mathrm{F}\) and is charged to \(3.5 \mathrm{V} .\) What's the charge on its plates?
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What voltage is needed to put \(1.6 \mathrm{mC}\) on a \(100-\mu \mathrm{F}\) capacitor?
(a) Write the electrostatic potential energy of a pair of oppositely charged, closely spaced parallel plates as a function of their separation \(x,\) their area \(A,\) and the charge magnitude \(Q .\) (b) Differentiate with respect to \(x\) to find the magnitude of the attractive force between the plates. Why isn't the force equal to the charge on one plate times the electric field between the plates?
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 \(7.2 \mu \mathrm{C} ?\)
Does the capacitance describe the maximum amount of charge a capacitor can hold, in the same way that a bucket's capacity describes the maximum amount of water it can hold? Explain.
A solid conducting slab is inserted between the plates of a capacitor, not touching either plate. Does the capacitance increase, decrease, or remain the same?
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