5.50 kN S 30.0 µF At t=0.0 s, the switch S is closed with the capacitor initially uncharged. At t=0.165 s, the current is I=3.21 mA. Determine the value of E in volts. Type your answer...

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### Circuit Diagram Analysis

The diagram depicts an electrical circuit with the following components:

1. **Switch (S)**: Initially open, this switch is closed at time \( t = 0.0 \, \text{s} \).
2. **Resistor**: Connects with a resistance of \( 5.50 \, \text{k}\Omega \).
3. **Capacitor**: Initially uncharged, it has a capacitance of \( 30.0 \, \mu\text{F} \).
4. **Battery (\( \mathcal{E} \))**: Provides the electromotive force (emf) for the circuit.

### Circuit Operation

- **Initial State**: At \( t = 0.0 \, \text{s} \), the switch is closed, allowing current to flow through the circuit.
- **After 0.165 seconds**: The current in the circuit is measured to be \( I = 3.21 \, \text{mA} \).

### Task

Determine the value of the electromotive force \( \mathcal{E} \) in volts using the given parameters and conditions.
Transcribed Image Text:### Circuit Diagram Analysis The diagram depicts an electrical circuit with the following components: 1. **Switch (S)**: Initially open, this switch is closed at time \( t = 0.0 \, \text{s} \). 2. **Resistor**: Connects with a resistance of \( 5.50 \, \text{k}\Omega \). 3. **Capacitor**: Initially uncharged, it has a capacitance of \( 30.0 \, \mu\text{F} \). 4. **Battery (\( \mathcal{E} \))**: Provides the electromotive force (emf) for the circuit. ### Circuit Operation - **Initial State**: At \( t = 0.0 \, \text{s} \), the switch is closed, allowing current to flow through the circuit. - **After 0.165 seconds**: The current in the circuit is measured to be \( I = 3.21 \, \text{mA} \). ### Task Determine the value of the electromotive force \( \mathcal{E} \) in volts using the given parameters and conditions.
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