P26_028

# P26_028 - 28. (a) The potential diﬀerence across C1 (the...

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Unformatted text preview: 28. (a) The potential diﬀerence across C1 (the same as across C2 ) is given by V1 = V2 = C3 V (4.00 µF)(100 V) = = 21.1 V . C1 + C2 + C3 10.0 µF + 5.00 µF + 4.00 µF Also, V3 = V − V1 = V − V2 = 100 V − 21.1 V = 78.9 V. Thus, q1 q2 q3 = = = C1 V1 = (10.0 µF)(21.1 V) = 2.11 × 10−4 C C2 V2 = (5.00 µF)(21.1 V) = 1.05 × 10−4 C q1 + q2 = 2.11 × 10−4 C + 1.05 × 10−4 C = 3.16 × 10−4 C . (b) The potential diﬀerences were found in the course of solving for the charges in part (a). (c) The stored energies are as follows: U1 = U2 = U3 = 1 1 C1 V12 = (10.0 µF)(21.1 V)2 = 2.22 × 10−3 J , 2 2 1 1 2 C2 V2 = (5.00 µF)(21.1 V)2 = 1.11 × 10−3 J , 2 2 1 1 2 C3 V3 = (4.00 µF)(78.9 V)2 = 1.25 × 10−2 J . 2 2 ...
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## This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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