Suppose the 3 F capacitor in Figure 24.10a in the textbook were removed and repl

Question

Suppose the 3 F capacitor in Figure 24.10a in the textbook were removed and replaced by a different one, and that this changed the equivalent capacitance between points a and b to 6 F .

Part A

What would be the capacitance of the replacement capacitor?

Suppose the 3 F capacitor in Figure 24.10a in the textbook were removed and replaced by a different one, and that this changed the equivalent capacitance between points a and b to 6 F .

Part A

What would be the capacitance of the replacement capacitor?

Explanation / Answer

12 uF and 6 uF are in series and their series combination is given as

Cs = 12 x 6 / (12 + 6) = 4 uF

Cs , 11 uF and R are in parallel and their combination is given as

Cp = Cs + 11 + R = 4 + 11 + R = 15 + R

Cp and 9 uF are in series and their combination is equal to 6 uF which is equivalent capacitance of the circuit

6 = Cp x 9 / (Cp + 9)

Cp = 18 uF

15 + R = 18

R = 3 uF

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