The circuit of the figure shows a capacitor, two ideal batteries, two resistors, and a switch S. Initially S has been open for a long time. If it is then closed for a long time, what is the change in the charge on the capacitor? Assume C = 36 μF, ₁ = 3.8V, E₂ = 3.0 V, R₁ = 0.500, and R₂ = 0.65 0.
The circuit of the figure shows a capacitor, two ideal batteries, two resistors, and a switch S. Initially S has been open for a long time. If it is then closed for a long time, what is the change in the charge on the capacitor? Assume C = 36 μF, ₁ = 3.8V, E₂ = 3.0 V, R₁ = 0.500, and R₂ = 0.65 0.
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![**Problem Statement:**
The circuit in the figure shows a capacitor, two ideal batteries, two resistors, and a switch \( S \). Initially, \( S \) has been open for a long time. If it is then closed for a long time, what is the change in the charge on the capacitor? Assume
\[ C = 36 \mu F \]
\[ \mathcal{E}_1 = 3.8 V \]
\[ \mathcal{E}_2 = 3.0 V \]
\[ R_1 = 0.50 \Omega \]
\[ R_2 = 0.65 \Omega \]
**Circuit Diagram Explanation:**
The circuit diagram accompanying the problem statement consists of the following components:
1. **Capacitor (C):** Depicted as two parallel lines with a gap between them, symbolizing its ability to store charge.
2. **Switch (S):** Shown in series with the voltage source \(\mathcal{E}_1\) and resistor \(R_1\), indicating it can open or close the circuit.
3. **Voltage Sources (\(\mathcal{E}_1\) and \(\mathcal{E}_2\)):** Represented as cells or batteries, each providing a constant voltage of 3.8 V and 3.0 V respectively.
4. **Resistors (R1 and R2):** Symbolized with a zigzag pattern, indicating resistance values of 0.50 \(\Omega\) and 0.65 \(\Omega\) respectively.
The voltage source \(\mathcal{E}_1\) and resistor \(R_1\) form one branch of the circuit, while the voltage source \(\mathcal{E}_2\) and resistor \(R_2\) form a parallel branch. The capacitor \(C\) is located between these two branches.
**Question:**
Number: [__]
Units: [__]
**Instructions:**
- Determine the change in the charge on the capacitor when the switch \( S \) is closed for a long time.
- Enter the numerical value of the change in charge in the "Number" field.
- Choose the appropriate unit for the charge (likely coulombs) from the "Units" dropdown menu.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2582877-f8f8-44db-83ab-009b8ab7497d%2F0d5db7a8-5002-48f1-a46d-61f1ab982d65%2Fvn9f629_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The circuit in the figure shows a capacitor, two ideal batteries, two resistors, and a switch \( S \). Initially, \( S \) has been open for a long time. If it is then closed for a long time, what is the change in the charge on the capacitor? Assume
\[ C = 36 \mu F \]
\[ \mathcal{E}_1 = 3.8 V \]
\[ \mathcal{E}_2 = 3.0 V \]
\[ R_1 = 0.50 \Omega \]
\[ R_2 = 0.65 \Omega \]
**Circuit Diagram Explanation:**
The circuit diagram accompanying the problem statement consists of the following components:
1. **Capacitor (C):** Depicted as two parallel lines with a gap between them, symbolizing its ability to store charge.
2. **Switch (S):** Shown in series with the voltage source \(\mathcal{E}_1\) and resistor \(R_1\), indicating it can open or close the circuit.
3. **Voltage Sources (\(\mathcal{E}_1\) and \(\mathcal{E}_2\)):** Represented as cells or batteries, each providing a constant voltage of 3.8 V and 3.0 V respectively.
4. **Resistors (R1 and R2):** Symbolized with a zigzag pattern, indicating resistance values of 0.50 \(\Omega\) and 0.65 \(\Omega\) respectively.
The voltage source \(\mathcal{E}_1\) and resistor \(R_1\) form one branch of the circuit, while the voltage source \(\mathcal{E}_2\) and resistor \(R_2\) form a parallel branch. The capacitor \(C\) is located between these two branches.
**Question:**
Number: [__]
Units: [__]
**Instructions:**
- Determine the change in the charge on the capacitor when the switch \( S \) is closed for a long time.
- Enter the numerical value of the change in charge in the "Number" field.
- Choose the appropriate unit for the charge (likely coulombs) from the "Units" dropdown menu.
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