18_InstSolManual_PDF_Part13

18_InstSolManual_PDF_Part13 - Electric Potential and...

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18.54. Set Up: For two capacitors in parallel, For two capacitors in series, and For capacitors in parallel, the voltages are the same and the charges add. For capacitors in series, the charges are the same and the voltages add. Label the capacitors as shown in Figure 18.54a. Figure 18.54 Solve: The equivalent capacitance for and in series is This gives the circuit shown in Figure 18.54b. The equivalent capacitance for and in parallel is This gives the circuit shown in Figure 18.54c. The equivalent capacitance for and in series is This gives the circuit shown in Figure 18.54d. In Figure 18.54d, This is the charge on each capacitor in Figure 18.54c. and Note that Then in Figure 18.54b, In summary, and 18.55. Set Up: For capacitors in series the voltages add and the charges are the same; For capacitors in parallel the voltages are the same and the charges add; C 5 Q V . C eq 5 C 1 1 C 2 1 c 1 C eq 5 1 C 1 1 1 C 2 1 c V 4 5 16.8 V. V 3 5 11.2 V V 2 5 5.6 V, V 1 5 5.6 V, Q 4 5 67.2
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