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?
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f07b913-0c24-4a1a-9522-0f0464166802%2F7ed39dc0-81e4-4383-a022-ebb6928ce95d%2F5cqhv8mj_processed.png&w=3840&q=75)
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
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
