In the figure R₁ = 9.69 kQ, R₂ = 15.9 kn, C = 0.379 μF, and the ideal battery has emf ε =20.0 V. First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time t = 0. What is the current in resistor 2 at t = 3.90 ms? Number E i + R₁ ww R₂ C Units A

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**

In the figure, \( R_1 = 9.69 \, \text{k}\Omega \), \( R_2 = 15.9 \, \text{k}\Omega \), \( C = 0.379 \, \mu\text{F} \), and the ideal battery has emf \( \varepsilon = 20.0 \, \text{V} \). First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time \( t = 0 \). What is the current in resistor 2 at \( t = 3.90 \, \text{ms} \)?

**Diagram Explanation:**

The circuit diagram shows:
1. A battery with emf \( \varepsilon \).
2. A switch that is initially closed and then opened.
3. Two resistors: \( R_1 \) and \( R_2 \).
4. A capacitor \( C \).

The battery is connected in series with resistor \( R_1 \) and the switch. Resistor \( R_2 \) and the capacitor \( C \) are in parallel with each other and in series with the switch. The current flow and charge distribution need to be calculated when the switch is opened at the specified time. 

**Calculation Required:**

What is the current through \( R_2 \) at \( t = 3.90 \, \text{ms} \)? 

**Input Box:**
- Number: [Input area for the current calculation]
- Units: Ampere (A)
Transcribed Image Text:**Problem Statement:** In the figure, \( R_1 = 9.69 \, \text{k}\Omega \), \( R_2 = 15.9 \, \text{k}\Omega \), \( C = 0.379 \, \mu\text{F} \), and the ideal battery has emf \( \varepsilon = 20.0 \, \text{V} \). First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time \( t = 0 \). What is the current in resistor 2 at \( t = 3.90 \, \text{ms} \)? **Diagram Explanation:** The circuit diagram shows: 1. A battery with emf \( \varepsilon \). 2. A switch that is initially closed and then opened. 3. Two resistors: \( R_1 \) and \( R_2 \). 4. A capacitor \( C \). The battery is connected in series with resistor \( R_1 \) and the switch. Resistor \( R_2 \) and the capacitor \( C \) are in parallel with each other and in series with the switch. The current flow and charge distribution need to be calculated when the switch is opened at the specified time. **Calculation Required:** What is the current through \( R_2 \) at \( t = 3.90 \, \text{ms} \)? **Input Box:** - Number: [Input area for the current calculation] - Units: Ampere (A)
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