In the RC (series) circuit, R = 1.2 M2 and C = 5.00 µF. It is connected to a 30 volt power source with a switch S. www R What is the current in the circuit when the capacitor reaches 25 volts? 2.12 μΑ b. 4.17 µA c. 9.3 µA 12.4 μΑ
In the RC (series) circuit, R = 1.2 M2 and C = 5.00 µF. It is connected to a 30 volt power source with a switch S. www R What is the current in the circuit when the capacitor reaches 25 volts? 2.12 μΑ b. 4.17 µA c. 9.3 µA 12.4 μΑ
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter18: Direct-Current Circuits
Section: Chapter Questions
Problem 10CQ: An uncharged series RC circuit is to be connected across a battery. For each of the following...
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![**Educational Content: Analysis of an RC Series Circuit**
**Circuit Description:**
In the RC (series) circuit, the resistance \( R \) is 1.2 MΩ and the capacitance \( C \) is 5.00 μF. The circuit is connected to a 30-volt power source. A switch \( S \) is included for controlling the circuit operation.
**Circuit Diagram:**
The diagram shows a resistor \( R \) and a capacitor \( C \) connected in series with each other, and they are connected to an electromotive force (EMF) source labeled \( \mathcal{E} \), which is 30 volts. The switch \( S \) is placed in the circuit to close or open the connection to the power source.
**Question:**
What is the current in the circuit when the capacitor reaches 25 volts?
**Options:**
- a. 2.12 μA
- b. 4.17 μA
- c. 9.3 μA
- d. 12.4 μA
To solve this problem, use the formula for current in an RC circuit:
\[ I = \frac{V_{\text{source}} - V_{\text{capacitor}}}{R} \]
where:
- \( V_{\text{source}} \) is 30 volts.
- \( V_{\text{capacitor}} \) is 25 volts.
- \( R \) is 1.2 MΩ.
Using these values, you can calculate the current in the circuit when the capacitor has charged to 25 volts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53c8c98e-2312-4daa-943a-c7d80d665f52%2Fd5f3be99-1137-4ff9-8c24-e0ec08b76a99%2Ff05ya8p_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Content: Analysis of an RC Series Circuit**
**Circuit Description:**
In the RC (series) circuit, the resistance \( R \) is 1.2 MΩ and the capacitance \( C \) is 5.00 μF. The circuit is connected to a 30-volt power source. A switch \( S \) is included for controlling the circuit operation.
**Circuit Diagram:**
The diagram shows a resistor \( R \) and a capacitor \( C \) connected in series with each other, and they are connected to an electromotive force (EMF) source labeled \( \mathcal{E} \), which is 30 volts. The switch \( S \) is placed in the circuit to close or open the connection to the power source.
**Question:**
What is the current in the circuit when the capacitor reaches 25 volts?
**Options:**
- a. 2.12 μA
- b. 4.17 μA
- c. 9.3 μA
- d. 12.4 μA
To solve this problem, use the formula for current in an RC circuit:
\[ I = \frac{V_{\text{source}} - V_{\text{capacitor}}}{R} \]
where:
- \( V_{\text{source}} \) is 30 volts.
- \( V_{\text{capacitor}} \) is 25 volts.
- \( R \) is 1.2 MΩ.
Using these values, you can calculate the current in the circuit when the capacitor has charged to 25 volts.
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