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...
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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Question
![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1669c4cb-8aca-48d0-97bf-43dc6404ae7d%2Fbcbd3ea8-eb9e-4c4a-b65a-cd9c4f808e07%2Fgd18rjh_processed.png&w=3840&q=75)
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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