In Fig. 19–66, suppose C_1 = C_2 = C_3 = C_4 = C. a) Determine the equivalent capacitance between points a and b. b) Determine the charge on each capacitor and the potential difference across each in terms of V.

a) \dfrac{3C}{5} b) Q_1 = Q_2 = \dfrac{VC}{5}, Q_3 = \dfrac{2VC}{5}, Q_4 = \dfrac{3VC}{5} V_1 = V_2 = \dfrac{V}{5}, V_3 = \dfrac{2V}{5}, V_4 = \dfrac{3V}{5}

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Giancoli's Physics: Principles with Applications, 7th Edition

DC Circuits

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19-1: Emf and Terminal Voltage

2:00

1:53

1:34

19-2: Resistors in Series and Parallel

19-3: Kirchhoff's Rules

19-4: Emfs Combined, Battery Charging

4:17

1:40

19-5: Capacitors in Series and Parallel

19-6: RC Circuits

19-8: Ammeters and Voltmeters

Problem 51

In Fig. 19–66, suppose $C_1 = C_2 = C_3 = C_4 = C$ .

Determine the equivalent capacitance between points a and b.
Determine the charge on each capacitor and the potential difference across each in terms of $V$ .

Figure 19-66.

$\dfrac{3C}{5}$
$Q_1 = Q_2 = \dfrac{VC}{5}, Q_3 = \dfrac{2VC}{5}, Q_4 = \dfrac{3VC}{5}$
$V_1 = V_2 = \dfrac{V}{5}, V_3 = \dfrac{2V}{5}, V_4 = \dfrac{3V}{5}$

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In Fig. 19–66, suppose C1=C2=C3=C4=CC_1 = C_2 = C_3 = C_4 = CC1​=C2​=C3​=C4​=C.

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In Fig. 19–66, suppose $C_1 = C_2 = C_3 = C_4 = C$ .