College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![### Educational Exercise on Circuit Analysis
**Problem Statement:**
In the given circuit, assume the following parameters:
- Electromotive force, \( \mathcal{E} = 50.0 \, \text{V} \)
- Resistance, \( R = 240.0 \, \Omega \)
- Inductance, \( L = 0.170 \, \text{H} \)
Initially, with switch \( S_2 \) open, switch \( S_1 \) is closed until a constant current is established. Then, \( S_2 \) is closed and \( S_1 \) is opened, removing the battery from the circuit.
**Circuit Diagram Explanation:**
The circuit diagram features:
- A battery of electromotive force \( \mathcal{E} \).
- A resistor labeled \( R \).
- An inductor labeled \( L \).
- Two switches, \( S_1 \) and \( S_2 \), control the flow of current in the circuit path.
The circuit forms a simple RL circuit when \( S_1 \) is opened and \( S_2 \) is closed. The current \( i \) flows through the resistor \( R \) and inductor \( L \).
**Questions:**
**Part A:**
*Question:* What is the initial current in the resistor just after \( S_2 \) is closed and \( S_1 \) is opened?
*Answer Format:* Express your answer in amperes.
\[ I = \_\_\_\_ \, \text{A} \]
**Part B:**
*Question:* What is the current in the resistor at \( t = 4.20 \times 10^{-4} \) s?
*Answer Format:* Express your answer in amperes.
\[ I = \_\_\_\_ \, \text{A} \]
Participants are encouraged to express answers using appropriate equations for RL circuits and consider the effects of the inductor on current change over time as it resists changes in current.](https://content.bartleby.com/qna-images/question/a9a6cceb-4061-4ebd-82f8-5c7013e46e25/94cfd33e-c235-45b1-9973-b9374d9f7e3b/gc2lgj2i_processed.jpeg)
Transcribed Image Text:### Educational Exercise on Circuit Analysis
**Problem Statement:**
In the given circuit, assume the following parameters:
- Electromotive force, \( \mathcal{E} = 50.0 \, \text{V} \)
- Resistance, \( R = 240.0 \, \Omega \)
- Inductance, \( L = 0.170 \, \text{H} \)
Initially, with switch \( S_2 \) open, switch \( S_1 \) is closed until a constant current is established. Then, \( S_2 \) is closed and \( S_1 \) is opened, removing the battery from the circuit.
**Circuit Diagram Explanation:**
The circuit diagram features:
- A battery of electromotive force \( \mathcal{E} \).
- A resistor labeled \( R \).
- An inductor labeled \( L \).
- Two switches, \( S_1 \) and \( S_2 \), control the flow of current in the circuit path.
The circuit forms a simple RL circuit when \( S_1 \) is opened and \( S_2 \) is closed. The current \( i \) flows through the resistor \( R \) and inductor \( L \).
**Questions:**
**Part A:**
*Question:* What is the initial current in the resistor just after \( S_2 \) is closed and \( S_1 \) is opened?
*Answer Format:* Express your answer in amperes.
\[ I = \_\_\_\_ \, \text{A} \]
**Part B:**
*Question:* What is the current in the resistor at \( t = 4.20 \times 10^{-4} \) s?
*Answer Format:* Express your answer in amperes.
\[ I = \_\_\_\_ \, \text{A} \]
Participants are encouraged to express answers using appropriate equations for RL circuits and consider the effects of the inductor on current change over time as it resists changes in current.
![**Part C**
What is the potential difference between points b and c at \( t = 4.20 \times 10^{-4} \, \text{s} \)?
*Express your answer in volts.*
\[ V = \] [Input box for answer] \(\text{V}\)
- [Submit Button]
- [Request Answer Button]
---
**Part D**
Which point is at a higher potential?
- [ ] b
- [ ] c
- [Submit Button]
- [Request Answer Button]
---
**Part E**
How long does it take the current to decrease to half its initial value?
*Express your answer in seconds.*
\[ t = \] [Input box for answer] \(\text{s}\)
- [Submit Button]
- [Request Answer Button]](https://content.bartleby.com/qna-images/question/a9a6cceb-4061-4ebd-82f8-5c7013e46e25/94cfd33e-c235-45b1-9973-b9374d9f7e3b/kvth0e9_processed.jpeg)
Transcribed Image Text:**Part C**
What is the potential difference between points b and c at \( t = 4.20 \times 10^{-4} \, \text{s} \)?
*Express your answer in volts.*
\[ V = \] [Input box for answer] \(\text{V}\)
- [Submit Button]
- [Request Answer Button]
---
**Part D**
Which point is at a higher potential?
- [ ] b
- [ ] c
- [Submit Button]
- [Request Answer Button]
---
**Part E**
How long does it take the current to decrease to half its initial value?
*Express your answer in seconds.*
\[ t = \] [Input box for answer] \(\text{s}\)
- [Submit Button]
- [Request Answer Button]
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