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Ch 24: Capacitance and Dielectrics
Chapter 24, Problem 24

For the system of capacitors shown in Fig. E24.16 Circuit diagram showing capacitors C2 and C3 in parallel and C1 in series.
, find the equivalent capacitance (a) between b and c.Circuit diagram with capacitors labeled a, b, and c, showing values of 9.0 pF, 11 pF, and 15 pF.

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1
Identify the capacitors in the circuit and their configuration. Here, we have three capacitors: 15 pF, 9.0 pF, and 11 pF.
Notice that the 9.0 pF and 11 pF capacitors are in parallel between points b and c.
Calculate the equivalent capacitance of the parallel capacitors using the formula: C_parallel = C2 + C3.
Combine the equivalent capacitance of the parallel capacitors with the 15 pF capacitor in series. Use the formula for capacitors in series: 1/C_series = 1/C1 + 1/C_parallel.
Solve for the equivalent capacitance between points b and c using the series formula.

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Figure E24.14

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Figure E24.14

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