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?

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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.
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.
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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