Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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?

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?

icon
Related questions
Question

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? 

### Capacitors in Parallel Circuit Diagram The diagram above illustrates a parallel circuit configuration of capacitors. In a parallel arrangement, multiple capacitors are connected in such a manner that the positive and negative terminals are directly connected to each other. This configuration results in each capacitor having the same potential difference (voltage) across them. #### Components: 1. **Capacitors (C1, C2, C3, C4):** - The circuit contains four capacitors labeled as C1, C2, C3, and C4. - Each capacitor is represented by two parallel lines, one denoting the positive terminal and the other the negative terminal. 2. **Voltage Source (V₀):** - There is a voltage source, denoted by V₀, providing the voltage across the capacitors. - The positive terminal of the voltage source is connected to the upper horizontal rail of the circuit. - The negative terminal of the voltage source is connected to the lower horizontal rail of the circuit. #### Characteristics of Parallel Capacitor Configurations: - **Voltage (V):** - Each capacitor in a parallel circuit has the same voltage (V₀) across it. - **Capacitance (C_eq):** - The equivalent capacitance (C_eq) of capacitors in parallel is the sum of the individual capacitances. Mathematically, it is represented as: \[ C_{eq} = C_1 + C_2 + C_3 + C_4 \] - **Charge (Q):** - The total charge (Q_total) stored in the parallel network is the sum of the charges on each capacitor. - Each capacitor stores a charge proportional to its capacitance: \[ Q_i = C_i \cdot V_0 \] for \( i = 1, 2, 3, 4 \). This arrangement is useful in circuits where a larger combined capacitance is desired without increasing the voltage rating of the capacitors individually.
Transcribed Image Text:### Capacitors in Parallel Circuit Diagram The diagram above illustrates a parallel circuit configuration of capacitors. In a parallel arrangement, multiple capacitors are connected in such a manner that the positive and negative terminals are directly connected to each other. This configuration results in each capacitor having the same potential difference (voltage) across them. #### Components: 1. **Capacitors (C1, C2, C3, C4):** - The circuit contains four capacitors labeled as C1, C2, C3, and C4. - Each capacitor is represented by two parallel lines, one denoting the positive terminal and the other the negative terminal. 2. **Voltage Source (V₀):** - There is a voltage source, denoted by V₀, providing the voltage across the capacitors. - The positive terminal of the voltage source is connected to the upper horizontal rail of the circuit. - The negative terminal of the voltage source is connected to the lower horizontal rail of the circuit. #### Characteristics of Parallel Capacitor Configurations: - **Voltage (V):** - Each capacitor in a parallel circuit has the same voltage (V₀) across it. - **Capacitance (C_eq):** - The equivalent capacitance (C_eq) of capacitors in parallel is the sum of the individual capacitances. Mathematically, it is represented as: \[ C_{eq} = C_1 + C_2 + C_3 + C_4 \] - **Charge (Q):** - The total charge (Q_total) stored in the parallel network is the sum of the charges on each capacitor. - Each capacitor stores a charge proportional to its capacitance: \[ Q_i = C_i \cdot V_0 \] for \( i = 1, 2, 3, 4 \). This arrangement is useful in circuits where a larger combined capacitance is desired without increasing the voltage rating of the capacitors individually.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer