he circuit below shows a simple RL circuit. Initially, the switch is in position 1. L ll AV 1 Vhich of the graphs below correctly shows the current versus time soon after the switch is moved to position 2 as shown in the figure abov I
he circuit below shows a simple RL circuit. Initially, the switch is in position 1. L ll AV 1 Vhich of the graphs below correctly shows the current versus time soon after the switch is moved to position 2 as shown in the figure abov I
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:### Understanding RL Circuits
#### Circuit Description:
The circuit depicted is a simple RL circuit. Initially, the switch is in position 1. This configuration includes:
- A voltage source (\(\Delta V\))
- An inductor (\(L\))
- A resistor (\(R\))
- A switch that can move between position 1 and position 2
#### Problem Statement:
Determine which graph accurately illustrates the current (\(I\)) versus time (\(t\)) immediately after the switch is moved to position 2.
---
#### Graph Analysis:
1. **Graph A**:
- Behavior: A sudden increase at the start, followed by a plateau.
- Incorrect: It does not reflect the expected exponential rise of current in an RL circuit.
2. **Graph B**:
- Behavior: Linear increase without a plateau.
- Incorrect: An RL circuit should not exhibit a linear increase in current.
3. **Graph C**:
- Behavior: Exponential rise from zero, gradually approaching a maximum value.
- Correct: Represents the typical transient response of an RL circuit when the switch is moved to position 2, i.e., a gradual increase in current due to the inductor.
4. **Graph D**:
- Behavior: Exponential decay.
- Incorrect: Not applicable as this represents the discharge behavior, not relevant to the given setup.
5. **Graph E**:
- Behavior: Constant current over time.
- Incorrect: Does not show the changing current immediately after switching.
#### Conclusion:
Graph C is the correct representation of the current versus time in an RL circuit when the switch is moved to position 2, indicating the initial exponential increase in current.
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