3. the capacitances are C1 = 1.10 µF and C2 = 2.70 µF, and both capacitors are charged to a potential difference of V = 83.0 V but with opposite polarity as shown. Switches Sı and S2 are now closed. What now is the charge on capacitor C1?

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**Problem Statement:**

The capacitances are \( C_1 = 1.10 \, \mu \text{F} \) and \( C_2 = 2.70 \, \mu \text{F} \), and both capacitors are charged to a potential difference of \( V = 83.0 \, \text{V} \) but with opposite polarity as shown. Switches \( S_1 \) and \( S_2 \) are now closed. What now is the charge on capacitor \( C_1 \)?

**Diagram Explanation:**

The diagram illustrates two capacitors connected to switches \( S_1 \) and \( S_2 \). 

- Capacitor \( C_1 \) is labeled with a capacitance of \( 1.10 \, \mu \text{F} \) and is charged with a positive polarity on the left side and a negative polarity on the right side.
- Capacitor \( C_2 \) is labeled with a capacitance of \( 2.70 \, \mu \text{F} \) and is charged with a positive polarity on the right side and a negative polarity on the left side.

The connection paths are as follows:

- The left terminal of \( C_1 \) is connected to point \( a \) and the right terminal to the negative side of switch \( S_2 \).
- The positive side of switch \( S_2 \) is connected to the left terminal of \( C_2 \).
- The right terminal of \( C_2 \) is connected to the negative side of switch \( S_1 \), and the positive side of \( S_1 \) is connected back to point \( a \).

The question asks for the charge on capacitor \( C_1 \) after switches \( S_1 \) and \( S_2 \) are closed.
Transcribed Image Text:**Problem Statement:** The capacitances are \( C_1 = 1.10 \, \mu \text{F} \) and \( C_2 = 2.70 \, \mu \text{F} \), and both capacitors are charged to a potential difference of \( V = 83.0 \, \text{V} \) but with opposite polarity as shown. Switches \( S_1 \) and \( S_2 \) are now closed. What now is the charge on capacitor \( C_1 \)? **Diagram Explanation:** The diagram illustrates two capacitors connected to switches \( S_1 \) and \( S_2 \). - Capacitor \( C_1 \) is labeled with a capacitance of \( 1.10 \, \mu \text{F} \) and is charged with a positive polarity on the left side and a negative polarity on the right side. - Capacitor \( C_2 \) is labeled with a capacitance of \( 2.70 \, \mu \text{F} \) and is charged with a positive polarity on the right side and a negative polarity on the left side. The connection paths are as follows: - The left terminal of \( C_1 \) is connected to point \( a \) and the right terminal to the negative side of switch \( S_2 \). - The positive side of switch \( S_2 \) is connected to the left terminal of \( C_2 \). - The right terminal of \( C_2 \) is connected to the negative side of switch \( S_1 \), and the positive side of \( S_1 \) is connected back to point \( a \). The question asks for the charge on capacitor \( C_1 \) after switches \( S_1 \) and \( S_2 \) are closed.
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