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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

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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