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**Q.1:** An RC circuit with a 54.0 V power source is connected to a fluorescent lamp as shown in the figure. The lamp \( L \) turns on when the voltage across the capacitor reaches 45.0 V, which happens after 0.65 seconds after the switch is closed. If \( R = 3 \text{M}\Omega \), (a) what is the value of the capacitance \( C \)? (b) If we must switch the lamps 3 times in a second, what should be the value of capacitance? (c) What is the charge on the capacitor when the lamp just flashes in both the cases?

**Diagram Explanation:**

The diagram shows an RC circuit consisting of a resistor \( R \), a capacitor \( C \), a switch \( S \), and a 54.0 V power supply connected in series. The fluorescent lamp \( L \) is connected parallel to the capacitor.

- **R** is the resistance in the circuit.
- **C** is the capacitance, which we need to calculate.
- **54.0 V** is the voltage from the power source.
- **S** is a switch that controls the connection in the circuit.
- **L** flashes when the voltage is sufficient.

**Handwritten Note:** 
- "(a) Value of Capacitance" is noted, referring to the first part of the question.
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Transcribed Image Text:**Note:** Show your work in full to get credit **Q.1:** An RC circuit with a 54.0 V power source is connected to a fluorescent lamp as shown in the figure. The lamp \( L \) turns on when the voltage across the capacitor reaches 45.0 V, which happens after 0.65 seconds after the switch is closed. If \( R = 3 \text{M}\Omega \), (a) what is the value of the capacitance \( C \)? (b) If we must switch the lamps 3 times in a second, what should be the value of capacitance? (c) What is the charge on the capacitor when the lamp just flashes in both the cases? **Diagram Explanation:** The diagram shows an RC circuit consisting of a resistor \( R \), a capacitor \( C \), a switch \( S \), and a 54.0 V power supply connected in series. The fluorescent lamp \( L \) is connected parallel to the capacitor. - **R** is the resistance in the circuit. - **C** is the capacitance, which we need to calculate. - **54.0 V** is the voltage from the power source. - **S** is a switch that controls the connection in the circuit. - **L** flashes when the voltage is sufficient. **Handwritten Note:** - "(a) Value of Capacitance" is noted, referring to the first part of the question.
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