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ch16solns

# ch16solns - Electrical Energy and Capacitance 35 36 CHAPTER...

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35 Electrical Energy and Capacitance

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36 CHAPTER 16
Electrical Energy and Capacitance 37 Answers to Even Numbered Conceptual Questions 2. Changing the area will change the capacitance and maximum charge but not the maximum voltage. The question does not allow you to increase the plate separation. You can increase the maximum operating voltage by inserting a material with higher dielectric strength between the plates. 4. Electric potential V is a measure of the potential energy per unit charge. Electrical potential energy, PE = QV , gives the energy of the total charge Q . 6. A sharp point on a charged conductor would produce a large electric field in the region near the point. An electric discharge could most easily take place at the point. 8. There are eight different combinations that use all three capacitors in the circuit. These combinations and their equivalent capacitances are: All three capacitors in series - C eq = 1 C 1 + 1 C 2 + 1 C 3 1 All three capacitors in parallel - C eq = C 1 + C 2 + C 3 One capacitor in series with a parallel combination of the other two: C eq = 1 C 1 + C 2 + 1 C 3 1 , C eq = 1 C 3 + C 1 + 1 C 2 1 , C eq = 1 C 2 + C 3 + 1 C 1 1 One capacitor in parallel with a series combination of the other two: C eq = C 1 C 2 C 1 + C 2 + C 3 , C eq = C 3 C 1 C 3 + C 1 + C 2 , C eq = C 2 C 3 C 2 + C 3 + C 1 10. Nothing happens to the charge if the wires are disconnected. If the wires are connected to each other, the charge rapidly recombines, leaving the capacitor uncharged. 12. All connections of capacitors are not simple combinations of series and parallel circuits. As an example of such a complex circuit, consider the network of five capacitors C 1 , C 2 , C 3 , C 4 , and C 5 shown below. This combination cannot be reduced to a simple equivalent by the techniques of combining series and parallel capacitors. 14. The material of the dielectric may be able to withstand a larger electric field than air can withstand before breaking down to pass a spark between the capacitor plates.

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38 CHAPTER 16 16. (a) i (b) ii 18. (a) The equation is only valid when the points A and B are located in a region where the electric field is uniform (that is, constant in both magnitude and direction). (b) No. The field due to a point charge is not a uniform field. (c) Yes. The field in the region between a pair of parallel plates is uniform.
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