An insulated coil with 12 turns of radius 50cm is at rest in a uniform magnetic field of 3T. The field is pointing into the page. A person stretches the coil over 3 seconds, such that the new area is half the original area. If the internal resistance of the coil is 5, then what is the induced current in the coil? What is the direction of the current, and why?

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Chapter1: Units, Trigonometry. And Vectors
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 An insulated coil with 12 turns of radius 50cm is at rest in a uniform magnetic field of 3T. The field is pointing into the page. A person stretches the coil over 3 seconds, such that the new area is half the original area. If the internal resistance of the coil is 5, then what is the induced current in the coil? What is the direction of the current, and why?

 

The image displays two diagrams illustrating the mechanical effects of forces on wire loops in the presence of a magnetic field represented by "B_in" (magnetic flux density).

**Left Diagram:**

- A circular loop of wire is shown being squeezed by two hands, pressing inwards.
- The magnetic field is represented by orange circles with crosses, indicating the direction is into the plane of the image.
- The arrows on the fingers show the force being applied towards each other, modifying the shape of the loop.
- The label "B_in" appears at the top, denoting the magnetic field direction.

**Right Diagram:**

- The wire loop is now elongated horizontally by hands pulling in opposite directions.
- The orange circles with crosses again represent a magnetic field directed into the plane of the image.
- The hands showcase a stretching action, altering the loop's geometry.
- The label "B_in" continues to indicate the magnetic field presence and direction.

These diagrams help demonstrate how altering the shape of a wire loop can influence its interaction with a uniform magnetic field.
Transcribed Image Text:The image displays two diagrams illustrating the mechanical effects of forces on wire loops in the presence of a magnetic field represented by "B_in" (magnetic flux density). **Left Diagram:** - A circular loop of wire is shown being squeezed by two hands, pressing inwards. - The magnetic field is represented by orange circles with crosses, indicating the direction is into the plane of the image. - The arrows on the fingers show the force being applied towards each other, modifying the shape of the loop. - The label "B_in" appears at the top, denoting the magnetic field direction. **Right Diagram:** - The wire loop is now elongated horizontally by hands pulling in opposite directions. - The orange circles with crosses again represent a magnetic field directed into the plane of the image. - The hands showcase a stretching action, altering the loop's geometry. - The label "B_in" continues to indicate the magnetic field presence and direction. These diagrams help demonstrate how altering the shape of a wire loop can influence its interaction with a uniform magnetic field.
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