Multiple Choice
What is charge and voltage across each capacitor below?
26. Capacitors & Dielectrics
Solving Capacitor Circuits
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What is the voltage of the battery below?
A
V = 0.80 V
B
V = 1.75 V
C
V = 5.25 V
D
V = 15.8 V
Verified step by step guidance1
First, identify the configuration of capacitors in the circuit. Notice that there are capacitors in series and parallel. The 1 F and 3 F capacitors are in parallel, and the 1 F and 3 C capacitors are in series with the 2 F capacitor.
Calculate the equivalent capacitance for the parallel capacitors. For capacitors in parallel, the equivalent capacitance (C_eq) is the sum of the individual capacitances: C_eq_parallel = 1 F + 3 F.
Next, calculate the equivalent capacitance for the series capacitors. For capacitors in series, the reciprocal of the equivalent capacitance (1/C_eq_series) is the sum of the reciprocals of the individual capacitances: 1/C_eq_series = 1/1 F + 1/3 C + 1/2 F.
Combine the equivalent capacitances from the parallel and series calculations to find the total equivalent capacitance of the circuit.
Use the formula for voltage across capacitors, V = Q/C, where Q is the charge and C is the capacitance. Given the total equivalent capacitance, calculate the voltage of the battery using the known charge or other given values in the problem.
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