Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 164 cm, but its circumference is decreasing at a constant rate of 10.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T, which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 164 cm, but its circumference is decreasing at a constant rate of 10.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T, which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
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)...
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![### Shrinking Loop
A circular loop of flexible iron wire has an initial circumference of 164 cm, but its circumference is decreasing at a constant rate of 10.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T, which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43183b59-c0b4-4b72-8119-f4e6bd87c857%2F47541294-3d49-4b95-9639-048818ee52a0%2Fd7144u_processed.png&w=3840&q=75)
Transcribed Image Text:### Shrinking Loop
A circular loop of flexible iron wire has an initial circumference of 164 cm, but its circumference is decreasing at a constant rate of 10.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T, which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
![**Problem Statement:**
Find the magnitude of the emf \( \mathcal{E} \) induced in the loop after exactly 3.00 s has passed since the circumference of the loop started to decrease.
**Instructions:**
- Express your answer numerically in volts to three significant figures.
**Hints Section:**
There is an option available to view hints by clicking on "View Available Hint(s)".
**Answer Input Section:**
Input Box: \( \mathcal{E} = \) [Answer box in which the user can type the answer] V
---
### Description for Educational Website:
1. **Problem Statement Explanation:**
- This problem requires students to determine the induced electromotive force (emf) in a loop after a specified time interval during which the loop's circumference is decreasing.
2. **Calculation Notes:**
- The problem necessitates the application of Faraday's Law of electromagnetic induction, which states that the induced emf in a closed circuit is equal to the rate of change of magnetic flux through the loop.
- Given the time duration (3.00 seconds), students need to calculate the magnitude of the induced emf.
3. **Answer Format:**
- Ensure your answer is calculated to three significant figures and expressed in volts (V).
4. **Using Hints:**
- Click on "View Available Hint(s)" if you need assistance or a step-by-step guide to solving the problem.
5. **Input Section:**
- Enter the calculated value of the induced emf in the provided text box.
This format ensures that students understand the problem, know what is expected regarding the answer format, and can access hints if they need additional guidance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43183b59-c0b4-4b72-8119-f4e6bd87c857%2F47541294-3d49-4b95-9639-048818ee52a0%2Fgr91wwn_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the magnitude of the emf \( \mathcal{E} \) induced in the loop after exactly 3.00 s has passed since the circumference of the loop started to decrease.
**Instructions:**
- Express your answer numerically in volts to three significant figures.
**Hints Section:**
There is an option available to view hints by clicking on "View Available Hint(s)".
**Answer Input Section:**
Input Box: \( \mathcal{E} = \) [Answer box in which the user can type the answer] V
---
### Description for Educational Website:
1. **Problem Statement Explanation:**
- This problem requires students to determine the induced electromotive force (emf) in a loop after a specified time interval during which the loop's circumference is decreasing.
2. **Calculation Notes:**
- The problem necessitates the application of Faraday's Law of electromagnetic induction, which states that the induced emf in a closed circuit is equal to the rate of change of magnetic flux through the loop.
- Given the time duration (3.00 seconds), students need to calculate the magnitude of the induced emf.
3. **Answer Format:**
- Ensure your answer is calculated to three significant figures and expressed in volts (V).
4. **Using Hints:**
- Click on "View Available Hint(s)" if you need assistance or a step-by-step guide to solving the problem.
5. **Input Section:**
- Enter the calculated value of the induced emf in the provided text box.
This format ensures that students understand the problem, know what is expected regarding the answer format, and can access hints if they need additional guidance.
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