746_Physics ProblemsTechnical Physics

746_Physics ProblemsTechnical Physics - 86 Capacitance and...

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86 Capacitance and Dielectrics P26.24 (a) In series , to reduce the effective capacitance: 1 32 0 1 34 8 1 1 251 10 398 3 .. . F F F F µµ µ =+ = × = C C s s (b) In parallel , to increase the total capacitance: 29 8 32 0 220 . F F += = C C p p P26.25 nC nC CCC n = +++ = 100 100 111 " ±² ³ ³´ ³³ capacitors nC C n = 100 so n 2 100 = and n = 10 *P26.26 For C 1 connected by itself, CV 1 30 8 ∆= . C where V is the battery voltage: V C = 30 8 1 . For C 1 and C 2 in series: 1 11 23 1 12 CC V + F H G I K J = substituting, 30 8 23 1 23 1 112 ... C C µµµ 0333 = For C 1 and C 3 in series: 1 25 2 13 V + F H G I K J = 30 8 25 2 25 2 113 C 0222 = For all three: Q V CC CC = ++ F H G I K J = = = 1 1 30 8 1 0 333 0 222
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