An L = 47.0 ncm wire is moving to the right at a speed of v = 6.50 m/s across two parallel wire rails that are connected on the left side, as shown in the figure. The whole apparatus is immersed in a uniform magnetic field that has a magnitude of B = 0.910 T and is directed into the screen. What is the emf induced in the wire? If the moving wire and the rails have a combined total resistance of 1.15 Ohms, what applied force would be required to keep the wire moving at the given velocity? Assume that there is no friction between the moving wire and the rails.

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An L = 47.0 ncm wire is moving to the right at a speed of v = 6.50 m/s across two parallel wire rails that are connected on the left side, as shown in the figure. The whole apparatus is immersed in a uniform magnetic field that has a magnitude of B = 0.910 T and is directed into the screen. What is the emf induced in the wire?

If the moving wire and the rails have a combined total resistance of 1.15 Ohms, what applied force would be required to keep the wire moving at the given velocity? Assume that there is no friction between the moving wire and the rails.

The image depicts a rectangular wire loop placed in a uniform magnetic field, represented by blue circles with crosses indicating that the field is directed into the page. 

The key elements of the diagram are:

1. **Rectangular Wire Loop**: A wire loop is shown in gray, with its length marked as \( L \). The loop is positioned vertically within the magnetic field.

2. **Magnetic Field**: The magnetic field is visualized by a series of blue circles with crosses inside, showing that the field lines are moving into the page or screen.

3. **Velocity (\( v \))**: A green arrow to the right side of the loop indicates the velocity at which part of the loop is moving to the right. This motion implies that the loop is experiencing a change in magnetic flux, which will induce an electromotive force (emf) according to Faraday's Law of Electromagnetic Induction.

This setup is commonly used in physics to demonstrate electromagnetic induction, where the movement of the loop through the magnetic field induces a current in the wire.
Transcribed Image Text:The image depicts a rectangular wire loop placed in a uniform magnetic field, represented by blue circles with crosses indicating that the field is directed into the page. The key elements of the diagram are: 1. **Rectangular Wire Loop**: A wire loop is shown in gray, with its length marked as \( L \). The loop is positioned vertically within the magnetic field. 2. **Magnetic Field**: The magnetic field is visualized by a series of blue circles with crosses inside, showing that the field lines are moving into the page or screen. 3. **Velocity (\( v \))**: A green arrow to the right side of the loop indicates the velocity at which part of the loop is moving to the right. This motion implies that the loop is experiencing a change in magnetic flux, which will induce an electromotive force (emf) according to Faraday's Law of Electromagnetic Induction. This setup is commonly used in physics to demonstrate electromagnetic induction, where the movement of the loop through the magnetic field induces a current in the wire.
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