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What is the total energy stored by C 3 when C 1 = 50 μF, C 2 = 30 μF, C 3 = 50  μF, C 4 = 12 μF, and V 0 = 36 V?  A = 23mJ B= 8.6 mJ C = 6.5 mJ D= 16mJ E= 10mJ

What is the total energy stored by C 3 when C 1 = 50 μF, C 2 = 30 μF, C 3 = 50  μF, C 4 = 12 μF, and V 0 = 36 V?  A = 23mJ B= 8.6 mJ C = 6.5 mJ D= 16mJ E= 10mJ

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What is the total energy stored by C 3 when C 1 = 50 μF, C 2 = 30 μF, C 3 = 50  μF, C 4 = 12 μF, and V 0 = 36 V? 

A = 23mJ

B= 8.6 mJ

C = 6.5 mJ

D= 16mJ

E= 10mJ

The diagram shown above demonstrates a parallel capacitor circuit connected to a voltage source \( V_0 \). ### Diagram Breakdown: 1. **Capacitors**: - The diagram features four capacitors symbolized by the two parallel lines with different pairs labeled as \( C_1 \), \( C_2 \), \( C_3 \), and \( C_4 \). - These capacitors are connected in parallel, meaning both of their terminals are connected to the same two points in the circuit. 2. **Voltage Source**: - There is a voltage source labeled \( V_0 \). - The positive terminal is marked with a + sign, while the negative terminal is marked with a - sign, indicating the direction of the voltage supply. ### How Parallel Capacitors Work: - In a parallel configuration, the voltage across each capacitor is the same and equal to the voltage of the source \( V_0 \). - The total or equivalent capacitance (\( C_{eq} \)) of capacitors in parallel is the sum of the individual capacitances: \[ C_{eq} = C_1 + C_2 + C_3 + C_4 \] - This setup is commonly used to increase the overall capacitance in a circuit without changing the voltage rating. - The equivalent capacitance determines how much charge the combination can store. ### Practical Applications: - Parallel capacitors are utilized in power supplies, filtering applications, and energy storage systems in various electronic devices. By understanding the configuration and calculating the total capacitance correctly, one can ensure the effective design and function of electronic circuits.
Transcribed Image Text:The diagram shown above demonstrates a parallel capacitor circuit connected to a voltage source \( V_0 \). ### Diagram Breakdown: 1. **Capacitors**: - The diagram features four capacitors symbolized by the two parallel lines with different pairs labeled as \( C_1 \), \( C_2 \), \( C_3 \), and \( C_4 \). - These capacitors are connected in parallel, meaning both of their terminals are connected to the same two points in the circuit. 2. **Voltage Source**: - There is a voltage source labeled \( V_0 \). - The positive terminal is marked with a + sign, while the negative terminal is marked with a - sign, indicating the direction of the voltage supply. ### How Parallel Capacitors Work: - In a parallel configuration, the voltage across each capacitor is the same and equal to the voltage of the source \( V_0 \). - The total or equivalent capacitance (\( C_{eq} \)) of capacitors in parallel is the sum of the individual capacitances: \[ C_{eq} = C_1 + C_2 + C_3 + C_4 \] - This setup is commonly used to increase the overall capacitance in a circuit without changing the voltage rating. - The equivalent capacitance determines how much charge the combination can store. ### Practical Applications: - Parallel capacitors are utilized in power supplies, filtering applications, and energy storage systems in various electronic devices. By understanding the configuration and calculating the total capacitance correctly, one can ensure the effective design and function of electronic circuits.
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