6. In the circuit below, the battery has no internal resistance, the capacitor is initially uncharged, and the switch S is initially in position 1. Position 1 R₁ R₂ C Position 2 R₁ R2 = 800 C = 5 µF E = 20 V = 1.2 kΩ At t = 0, the switch is moved to position 2. At t = 5 ms, the switch is moved back to position 1. (a) What is the charge on the capacitor right before S is moved back to position 1? (b) What are the voltages across R₁, R₂, and C right before S is moved back to position 1? (c) What are the voltages across R₁, R₂, and C right after S is moved back to position 1? (d) What is the charge on the capacitor at 9 ms after S is moved back to position 1? (Hint: Does the position of the switch affect the time constant of the circuit?)
6. In the circuit below, the battery has no internal resistance, the capacitor is initially uncharged, and the switch S is initially in position 1. Position 1 R₁ R₂ C Position 2 R₁ R2 = 800 C = 5 µF E = 20 V = 1.2 kΩ At t = 0, the switch is moved to position 2. At t = 5 ms, the switch is moved back to position 1. (a) What is the charge on the capacitor right before S is moved back to position 1? (b) What are the voltages across R₁, R₂, and C right before S is moved back to position 1? (c) What are the voltages across R₁, R₂, and C right after S is moved back to position 1? (d) What is the charge on the capacitor at 9 ms after S is moved back to position 1? (Hint: Does the position of the switch affect the time constant of the circuit?)
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Transcribed Image Text:**Educational Content: Circuit Analysis Problem**
**Problem 6:**
In the circuit below, the battery has no internal resistance, the capacitor is initially uncharged, and the switch \( S \) is initially in position 1.
**Diagram Explanation:**
The circuit features a switch \( S \) that can toggle between two positions (Position 1 and Position 2). The circuit includes:
- A resistor \( R_1 \) with resistance 1.2 kΩ
- A resistor \( R_2 \) with resistance 800 Ω
- A capacitor \( C \) with capacitance 5 µF
- A voltage source \( \mathcal{E} \) with 20 V
**Operating Instructions:**
At time \( t = 0 \), the switch is moved to position 2. At \( t = 5 \) ms, the switch is moved back to position 1.
**Questions:**
(a) What is the charge on the capacitor right before \( S \) is moved back to position 1?
(b) What are the voltages across \( R_1 \), \( R_2 \), and \( C \) right before \( S \) is moved back to position 1?
(c) What are the voltages across \( R_1 \), \( R_2 \), and \( C \) right after \( S \) is moved back to position 1?
(d) What is the charge on the capacitor at 9 ms after \( S \) is moved back to position 1?
*Hint: Does the position of the switch affect the time constant of the circuit?*
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