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ch25_p28 - 28(a The potential difference across C1(the same...

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28. (a) The potential difference across C 1 (the same as across C 2 ) is given by ( )( ) 3 1 2 1 2 3 15.0 F 100V 50.0V. 10.0 F+5.00 F+15.0 F C V V V C C C µ µ µ µ = = = = + + Also, V 3 = V – V 1 = V – V 2 = 100 V – 50.0 V = 50.0 V. Thus, ( )( ) ( )( ) 4 1 1 1 4 2 2 2 4 4 4 3 1 2 10.0 F 50.0V 5.00 10 C 5.00 F 50.0V 2.50 10 C 5.00 10 C 2.50 10 C=7.50 10 C. q CV q C V q q q µ µ = = = × = = = × = + = × + × × (b) The potential difference V 3 was found in the course of solving for the charges in part (a). Its value is V 3 = 50.0 V. (c) The energy stored in C 3 is ( )( ) 2 2 2 3 3 3 1 1 15.0 F 50.0V 1.88 10
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