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Multiple Choice
What is the equivalent capacitance of the following capacitors?
A
0.923 F
B
1.08 F
C
9.0 F
Verified step by step guidance
1
Identify the configuration of the capacitors in the circuit. The circuit consists of two capacitors in parallel (both 2 F) and two capacitors in series (3 F and 2 F).
Calculate the equivalent capacitance of the two capacitors in parallel. For capacitors in parallel, the equivalent capacitance (C_parallel) is the sum of the individual capacitances: C_parallel = C1 + C2.
Calculate the equivalent capacitance of the two capacitors in series. For capacitors in series, the equivalent capacitance (C_series) is given by the reciprocal of the sum of the reciprocals of the individual capacitances: 1/C_series = 1/C3 + 1/C4.
Combine the equivalent capacitances from the parallel and series calculations. The equivalent capacitance of the entire circuit is the sum of the equivalent capacitance of the parallel capacitors and the equivalent capacitance of the series capacitors: C_total = C_parallel + C_series.
Verify the calculation by checking if the calculated equivalent capacitance matches the given correct answer of 0.923 F.