Bukhovtsev-et-al-Problems-in-Elementary-Physics

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308 ANSWERS AND SOLUTIONS + - +0-~a.------....------. Fig. 421 Therefore, u 1=e C2 c (cCl+cC2)=17.5 kV 1+ 2 u2= C C t e
ELECTRICITY AND MAGNETISM 309 ted (Fig. 155). The result will be the equivalent diagram shown in Fig. 422. The capacitance of the separate sections is" act 6C and 3C. The total capacitance can be found from the formula 121 Co =3C + 6C Hence, Co= 1.2C. 437. When the spark gaps are punctured, the parallel connection of the capacitors automatically changes to series connection; the voltage. between the corresponding plates of the capacitors grows, since the capacitance of the system drops. Indeed, the high resistance of conductors AB and CD makes it possible to neglect the currents flowing through them during the time of discharge and consider them as insulators through which the capacitors are not discharged. An equivalent diagram after the first spark gap is punctured is shown in Fig. 423. Upon puncturing of the first gap, the potential difference across the second gap will be equal to the sum of the voltages across the first and the second capacitors. i. e., it will double. This will cause puncturing of the second gap. When the n-th gap is punctured, the voltage in it will reach V=nVo. The resistances of conductors AB and CD should be high enough so as not to allow the capacitors to be discharged through them when the gaps are punctured with the plates connected in series. 438. Yes, it will. Each plate has a definite, usually small,capacitance with respect to the earth (the force lines are distorted near the edges of the plates and reach the earth). An equivalent diagram is shown in Fig. 424. The capacitance of the plates with respect to the earth is shown in the form of small capacitances C 1 and C 2 • When the left-hand plate is short-circuited, part of the charge present in It is neutralized. This will also occur if the right-hand plate is short-circuited. The capacitor will continue to be discharged the slower, the higher is the capacitance of the capacitor as compared with that of the plates relative to earth. 439. The initial state of the system is illustrated by an equivalent diagram (Fig. 425a). The full charge of the capacitor is Q+ q. The force lines of the charge + Q terminate on the other plate of the capacitor. The + force lines of the charges + q and + -q terminate or start on the earth. Since C ~ C 1 =C~h then Q~ q. + + c Fig. 423 Fig. 424
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B. B. 6yX08I4e8. B. JI. KpU8IleHIC0
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First published 1971 Second printin
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6 Chapter 5. Geometrical Optics •
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CHAPTER 2 HEAT. MOLECULAR PHYSICS 2
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ANSWERS AND SOLUTIONS CHAPTER 1 MEC
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CHAPTER 5 GEOMETRICAL OPTICS 5-1. P
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