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
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

HELP! ASAP!

### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Laws of electromagnetic induction
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON