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 0.610 m^2 , and the magnetic field initially has magnitude 0.950 T. Suppose that, over a time period of 2.23 s, the magnetic field changes from its initial value, producing an average induced voltage of 0.104 V. What is the final value of the magnetic field after this time period? 596 T 330 T 665 T 0.798 T

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Chapter1: Units, Trigonometry. And Vectors
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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 0.610 m^2 , and the magnetic field initially has magnitude 0.950 T. Suppose that, over a time period of 2.23 s, the magnetic field changes from its initial value, producing an average induced voltage of 0.104 V. What is the final value of the magnetic field after this time period?

  • 596 T
  • 330 T
  • 665 T
  • 0.798 T
The image illustrates a circular wire loop in an external magnetic field. The diagram consists of the following components:

1. **Circular Wire Loop**: A loop is shown in the diagram, depicted by a gray circle.

2. **Current (I)**: An arrow along the wire loop indicates the direction of the electric current, I, flowing in a clockwise direction.

3. **Magnetic Field (\( \mathbf{B}_{\text{out}} \))**: The green dots represent the direction of the external magnetic field, which is pointing out of the page or screen.

4. **Central Dot**: A black dot at the center of the loop represents a reference point or possibly the center of the magnetic field lines.

The diagram visually represents how a current-carrying loop interacts with an external magnetic field. According to the right-hand rule, the magnetic field inside the loop due to the current will oppose the external field (indicated by green dots), which is pointing outwards.
Transcribed Image Text:The image illustrates a circular wire loop in an external magnetic field. The diagram consists of the following components: 1. **Circular Wire Loop**: A loop is shown in the diagram, depicted by a gray circle. 2. **Current (I)**: An arrow along the wire loop indicates the direction of the electric current, I, flowing in a clockwise direction. 3. **Magnetic Field (\( \mathbf{B}_{\text{out}} \))**: The green dots represent the direction of the external magnetic field, which is pointing out of the page or screen. 4. **Central Dot**: A black dot at the center of the loop represents a reference point or possibly the center of the magnetic field lines. The diagram visually represents how a current-carrying loop interacts with an external magnetic field. According to the right-hand rule, the magnetic field inside the loop due to the current will oppose the external field (indicated by green dots), which is pointing outwards.
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