For the system of capacitors shown in in the following figur

For the system of capacitors shown in in the following figure find the equivalent capacitance between b and c, and between a and c. (C_1 = 22 pF, C_2 = 2.0 pF, and C3 = 13 pF.)

Solution

The 2 and 13 pF capacitors are in parallel, so the equivalent capacitance between b and c is

C_bc = C₂ + C₃

= 2 pF + 13 pF

C_bc = 15 pF

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The 22 pF capacitor is in series with the equivalent capacitance C_bc, so the equivalent capacitance between a and c is

C_ac = (1/22 + 1/15)^-1

C_ac = 8.92 pF