This time the magnetic field maintains a constant value of 0.520 T, and we achieve an induced voltage of 0.176 V over a time period of 1.26 s by keeping the magnetic field fixed but changing the area of the wire loop from its initial value of 0.710 m^2. What is the final value of the loop s area after this time period?
This time the magnetic field maintains a constant value of 0.520 T, and we achieve an induced voltage of 0.176 V over a time period of 1.26 s by keeping the magnetic field fixed but changing the area of the wire loop from its initial value of 0.710 m^2. What is the final value of the loop s area after this time period?
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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![**Problem Statement:**
In this scenario, the magnetic field remains constant at a value of 0.520 T. An induced voltage of 0.176 V is achieved over a time period of 1.26 seconds by maintaining the magnetic field constant but changing the area of the wire loop from its initial value of 0.710 m². The question is to determine the final value of the loop's area after this time period.
**Options:**
- 1.136 m²
- 0.454 m²
- 0.909 m²
- 1.704 m²
**Explanation:**
This problem involves electromagnetic induction, where a change in the area of the loop, in the presence of a constant magnetic field, induces a voltage. The task is to find the correct area of the loop after the time period specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5075c356-c65b-4609-8339-f95f44af74e9%2Ff2832c01-954a-4223-a864-b0a009a20685%2Ftgzfbbd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
In this scenario, the magnetic field remains constant at a value of 0.520 T. An induced voltage of 0.176 V is achieved over a time period of 1.26 seconds by maintaining the magnetic field constant but changing the area of the wire loop from its initial value of 0.710 m². The question is to determine the final value of the loop's area after this time period.
**Options:**
- 1.136 m²
- 0.454 m²
- 0.909 m²
- 1.704 m²
**Explanation:**
This problem involves electromagnetic induction, where a change in the area of the loop, in the presence of a constant magnetic field, induces a voltage. The task is to find the correct area of the loop after the time period specified.
![The image illustrates a circular loop with a current \( I \) flowing in a clockwise direction. The background is filled with green dots representing a magnetic field. The symbol \( \vec{B}_{\text{out}} \) indicates that the magnetic field is directed out of the plane of the loop.
### Diagram Explanation:
- **Circular Loop**: The gray circle represents a loop of wire through which a current \( I \) is flowing, indicated by a purple arrow.
- **Current Direction**: The arrow shows the clockwise flow of current.
- **Magnetic Field Representation**: The green dots signify the magnetic field lines, which are perpendicular to the plane of the loop.
- **Magnetic Field Direction**: The notation \( \vec{B}_{\text{out}} \) suggests the orientation of the magnetic field is pointing outwards from the plane.
This setup illustrates the interaction between a current-carrying conductor and the surrounding magnetic field, a fundamental concept in electromagnetism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5075c356-c65b-4609-8339-f95f44af74e9%2Ff2832c01-954a-4223-a864-b0a009a20685%2F8c6mm5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image illustrates a circular loop with a current \( I \) flowing in a clockwise direction. The background is filled with green dots representing a magnetic field. The symbol \( \vec{B}_{\text{out}} \) indicates that the magnetic field is directed out of the plane of the loop.
### Diagram Explanation:
- **Circular Loop**: The gray circle represents a loop of wire through which a current \( I \) is flowing, indicated by a purple arrow.
- **Current Direction**: The arrow shows the clockwise flow of current.
- **Magnetic Field Representation**: The green dots signify the magnetic field lines, which are perpendicular to the plane of the loop.
- **Magnetic Field Direction**: The notation \( \vec{B}_{\text{out}} \) suggests the orientation of the magnetic field is pointing outwards from the plane.
This setup illustrates the interaction between a current-carrying conductor and the surrounding magnetic field, a fundamental concept in electromagnetism.
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