Three capacitors are connected as shown in the figure. C1 = 5.2 μF, C2 = 14.4 μF, C3 = 4.5 μF. The voltage on the battery is 12 V. a)Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. b)Calculate the numerical value of U in μJ.
Three capacitors are connected as shown in the figure. C1 = 5.2 μF, C2 = 14.4 μF, C3 = 4.5 μF. The voltage on the battery is 12 V. a)Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. b)Calculate the numerical value of U in μJ.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Three capacitors are connected as shown in the figure. C1 = 5.2 μF, C2 = 14.4 μF, C3 = 4.5 μF. The voltage on the battery is 12 V.
a)Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV.
b)Calculate the numerical value of U in μJ.
Transcribed Image Text:The image shows a circuit diagram featuring three capacitors, labeled \( C_1 \), \( C_2 \), and \( C_3 \).
- **Capacitors \( C_1 \) and \( C_2 \)** are connected in parallel. This means that the voltage across \( C_1 \) is equal to the voltage across \( C_2 \).
- **Capacitor \( C_3 \)** is connected in series with the combination of \( C_1 \) and \( C_2 \). This configuration affects the total capacitance of the circuit and distributes the voltage across the series components accordingly.
In this setup, the equivalent capacitance of the parallel section (\( C_1 \) and \( C_2 \)) is calculated first and then the series combination with \( C_3 \) is determined. The total capacitance can be used to analyze the charge storage and discharge characteristics of the circuit.
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