Multiple Choice
What is the voltage of the battery below?
26. Capacitors & Dielectrics
Solving Capacitor Circuits
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What is charge and voltage across each capacitor below?
A
Q2F=10 C, V2F=10 V,
Q3F=20 C, V3F=10 V
Q3F=20 C, V3F=10 V
B
Q2F=9.8 C, V2F=5 V,
Q3F=7.3 C, V3F=10 V
Q3F=7.3 C, V3F=10 V
C
Q2F=4.9 C, V2F=10 V,
Q3F=7.3 C, V3F=10 V
Q3F=7.3 C, V3F=10 V
D
Q2F=10 C, V2F=5 V,
Q3F=30 C, V3F=10 V
Q3F=30 C, V3F=10 V
Verified step by step guidance1
Identify the configuration of the capacitors in the circuit. The two 2 F capacitors are in parallel, and this combination is in series with the 3 F capacitor.
Calculate the equivalent capacitance of the two 2 F capacitors in parallel. The formula for capacitors in parallel is: C_parallel = C1 + C2. So, C_parallel = 2 F + 2 F.
Determine the total capacitance of the circuit by finding the series combination of the equivalent parallel capacitance and the 3 F capacitor. The formula for capacitors in series is: 1/C_total = 1/C_parallel + 1/C3.
Calculate the total charge stored in the circuit using the formula Q_total = C_total * V, where V is the voltage across the entire circuit (10 V).
Find the charge and voltage across each capacitor. For capacitors in series, the charge is the same across each capacitor. Use Q = C * V to find the voltage across each capacitor, and for the parallel capacitors, use the fact that the voltage across them is the same.
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