Three capacitors and a battery are connected as shown. The capacitance values are C₁ = 8.1 µF, C₂ = 14.7 μF, and C3 = 7.3 μF. The battery voltage is Vo = 12 V. Vo + C₂ C3 Enter an expression for the equivalent capacitance, C12, of the two capacitors C₁ and C₂ in terms of the variables given in the problem statement. Using the result from Part (a), express the total equivalent capacitance, Ceq, in terms of C12 and C3. Calculate the numeric value, in microfarads, of the total equivalent capacitance. Express the charge, Q, stored in the circuit in terms of the equivalent capacitance, Ceq, and the potential difference across the battery, Vo. Calculate the numeric value, in microcoulombs, of the charge stored in the circuit. Express the energy stored in the capacitor in terms of the equivalent capacitance, Ceq, and the potential across the battery, Vo.

Principles of Physics: A Calculus-Based Text
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Chapter20: Electric Potential And Capacitance
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Problem 18OQ
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Three capacitors and a battery are connected as shown. The capacitance values are
C₁ = 8.1 μF, C₂ = 14.7 µF, and C3 = 7.3 μF. The battery voltage is Vo = 12 V.
Vo
C₁
C₂
C3
Enter an expression for the equivalent capacitance, C12, of the two capacitors C₁ and C₂ in terms of the variables given in the problem statement.
Using the result from Part (a), express the total equivalent capacitance, Ceq, in terms of C12 and C3.
Calculate the numeric value, in microfarads, of the total equivalent capacitance.
Express the charge, Q, stored in the circuit in terms of the equivalent capacitance, Ceq, and the potential difference across the battery, Vo.
Calculate the numeric value, in microcoulombs, of the charge stored in the circuit.
Express the energy stored in the capacitor in terms of the equivalent capacitance, Ceq, and the potential across the battery, Vo.
Calculate the numeric value, in microjoules, of the energy stored in the circuit.
Transcribed Image Text:Three capacitors and a battery are connected as shown. The capacitance values are C₁ = 8.1 μF, C₂ = 14.7 µF, and C3 = 7.3 μF. The battery voltage is Vo = 12 V. Vo C₁ C₂ C3 Enter an expression for the equivalent capacitance, C12, of the two capacitors C₁ and C₂ in terms of the variables given in the problem statement. Using the result from Part (a), express the total equivalent capacitance, Ceq, in terms of C12 and C3. Calculate the numeric value, in microfarads, of the total equivalent capacitance. Express the charge, Q, stored in the circuit in terms of the equivalent capacitance, Ceq, and the potential difference across the battery, Vo. Calculate the numeric value, in microcoulombs, of the charge stored in the circuit. Express the energy stored in the capacitor in terms of the equivalent capacitance, Ceq, and the potential across the battery, Vo. Calculate the numeric value, in microjoules, of the energy stored in the circuit.
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