This time the magnetic field maintains a constant value of 0.400 T, and we achieve an induced voltage of 0.047 V over a time period of 2.83 s by keeping the magnetic field fixed but changing the area of the wire loop from its initial value of 0.470 m^2. What is the final value of the loop s area after this time period?

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THIS IS THE QUESTION IT IS REFERRING TO, I JUST NEED THE SECOND ONE ANSWERED. THANK YOU!!! A loop of wire sits in a uniform magnetic field, everywhere pointing toward you. Due to a changing magnetic flux through the loop, an induced current flows in the wire, clockwise as shown. The area of the loop is 0.490 m^2 , and the magnetic field initially has magnitude 0.360 T. Suppose that, over a time period of 2.98 s, the magnetic field changes from its initial value, producing an average induced voltage of 0.036 V. What is the final value of the magnetic field after this time period?
 
Refer to the attached figure. This time the magnetic field maintains a constant value of 0.400 T, and we achieve an induced voltage of 0.047 V over a time period of 2.83 s by keeping the magnetic field fixed but changing the area of the wire loop from its initial value of 0.470 m^2. What is the final value of the loop s area after this time period?
   
1.044 m^2
   
0.803 m^2
   
0.321 m^2
   
0.482 m^2
**Transcription and Explanation of the Magnetic Field Diagram**

**Description:**

The image illustrates the magnetic field pattern around a circular loop of current. 

- **Circular Loop**: In the center is a circular loop depicted with a gray line. 
- **Current (I)**: Arrows on the loop indicate the direction of current flow, which is clockwise.
- **Magnetic Field (\( \vec{B}_{\text{out}} \))**: The surrounding area is filled with green dots, representing the magnetic field coming out of the plane.
  
**Explanation:**

- The diagram shows that when an electric current (\( I \)) flows clockwise in a circular loop, it generates a magnetic field.
- Using the right-hand rule, if the current flows in the direction of the fingers (clockwise), the thumb points in the direction of the magnetic field inside the loop.
- The green dots represent the magnetic field lines directed outward from the plane of the loop.
- The notation \( \vec{B}_{\text{out}} \) indicates the direction of the magnetic field vector is outwards.

This diagram is typically used to explain the concept of magnetic field lines and their orientation due to current flow in a loop, a fundamental concept in electromagnetism.
Transcribed Image Text:**Transcription and Explanation of the Magnetic Field Diagram** **Description:** The image illustrates the magnetic field pattern around a circular loop of current. - **Circular Loop**: In the center is a circular loop depicted with a gray line. - **Current (I)**: Arrows on the loop indicate the direction of current flow, which is clockwise. - **Magnetic Field (\( \vec{B}_{\text{out}} \))**: The surrounding area is filled with green dots, representing the magnetic field coming out of the plane. **Explanation:** - The diagram shows that when an electric current (\( I \)) flows clockwise in a circular loop, it generates a magnetic field. - Using the right-hand rule, if the current flows in the direction of the fingers (clockwise), the thumb points in the direction of the magnetic field inside the loop. - The green dots represent the magnetic field lines directed outward from the plane of the loop. - The notation \( \vec{B}_{\text{out}} \) indicates the direction of the magnetic field vector is outwards. This diagram is typically used to explain the concept of magnetic field lines and their orientation due to current flow in a loop, a fundamental concept in electromagnetism.
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