How Do You Calculate Magnetic Force in a Moving Conductor Setup?

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To calculate the magnetic force on a moving conductor, first determine the induced current in the bar using Faraday's law, which relates the change in magnetic flux to the induced electromotive force (EMF). The magnetic force can then be calculated using the formula F = IL x B, where I is the induced current, L is the length of the conductor, and B is the magnetic field strength. The resistance of the circuit also plays a crucial role in determining the current, which can be found using Ohm's law. Understanding the relationship between the speed of the bar and the induced EMF is essential for solving the problem. Proper application of these principles will lead to the correct calculation of the magnetic force.
rocafella1583
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I have a problem where I'm given a conducting bar that slides to the right on 2 conducting rails.

The magnetic field is given, as well as the resistance, the length of the bar, and the speed that the bar is moving.

The magnetic force is what is wanted. Now I know 3 formulas

F= qv x B, F = IL x B, and the centripetal force, all forces that can be applied to magnetic force.

But I cannot figure out this problem for the life of me. Can anyone help?
 
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You have to find the current in the bar from Faraday's law.
 
Thanks

Thank you
 
Last edited:
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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