In the circuit below the value of the resistance 14 Ω and the value of the capacitance is 2.0 µF. The voltage of the battery is 50 V. The capacitor is initially uncharged. Sometime after the switch is closed, the current in the circuit is measured to be 1.1 A. At this time, what is t

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In the circuit below the value of the resistance 14 Ω and the value of the capacitance is 2.0 µF. The voltage of the battery is 50 V. The capacitor is initially uncharged. Sometime after the switch is closed, the current in the circuit is measured to be 1.1 A. At this time, what is the charge on the capacitor, in µC?

Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

### Explanation of the RC Circuit Diagram

This diagram illustrates a simple RC (resistor-capacitor) circuit.

#### Components:
- **\(\mathcal{E}\)**: This symbol represents an electromotive force (EMF) or a voltage source in the circuit.
- **\(R\)**: The resistor is labeled with \(R\). It is depicted with a zigzag line, indicating its function to resist the flow of electric current.
- **\(C\)**: The capacitor is shown with two parallel lines, which store electrical energy in an electric field.

#### Circuit Description:
- **Switch Operation**: The switch in the circuit is initially open and will close at time \(t = 0 \, \text{s}\) (seconds). This action completes the circuit, allowing current to flow.
- **Flow of Current**: Once the switch is closed, current begins to flow from the voltage source \(\mathcal{E}\) through the resistor \(R\) and into the capacitor \(C\).
- **Charging of the Capacitor**: After the switch is closed, the capacitor \(C\) starts charging. The voltage across the capacitor gradually increases as it accumulates charge over time.

This circuit can be used to study transient behaviors in electronics, such as how current and voltage change over time when the circuit is activated.
Transcribed Image Text:### Explanation of the RC Circuit Diagram This diagram illustrates a simple RC (resistor-capacitor) circuit. #### Components: - **\(\mathcal{E}\)**: This symbol represents an electromotive force (EMF) or a voltage source in the circuit. - **\(R\)**: The resistor is labeled with \(R\). It is depicted with a zigzag line, indicating its function to resist the flow of electric current. - **\(C\)**: The capacitor is shown with two parallel lines, which store electrical energy in an electric field. #### Circuit Description: - **Switch Operation**: The switch in the circuit is initially open and will close at time \(t = 0 \, \text{s}\) (seconds). This action completes the circuit, allowing current to flow. - **Flow of Current**: Once the switch is closed, current begins to flow from the voltage source \(\mathcal{E}\) through the resistor \(R\) and into the capacitor \(C\). - **Charging of the Capacitor**: After the switch is closed, the capacitor \(C\) starts charging. The voltage across the capacitor gradually increases as it accumulates charge over time. This circuit can be used to study transient behaviors in electronics, such as how current and voltage change over time when the circuit is activated.
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