Calculating EMF Between Rod Ends: Length L, Velocity V, B Vector T

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To calculate the induced EMF between the ends of a vertically positioned rod moving horizontally in a magnetic field, use Faraday's law of induction. The induced EMF can be determined by the equation EMF = B x V x A, where B is the magnetic field strength, V is the rod's velocity, and A is the cross-sectional area of the rod. As the rod moves through the magnetic field, the magnetic flux changes, which induces the EMF. The direction of the induced EMF will be vertical if the magnetic field is directed out of the screen. Consider both the magnetic field direction and the rod's velocity when performing the calculation.
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I'm stuck the last part of this problem. Basically a rod (of length L in the vertical position) is moving horizontally at a constant velocity with the direction of B vector coming out of the screen. I need to compute the induced emf between the ends of the rod. Which emf equation should I use?

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> indicates movement @ constant velocity V...B (measured in T) is perpendicular
 
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Please state your question more clearly...gotta picture?

marlon
 
to the plane of the rod

Calculating the induced EMF between the ends of a rod can be done using Faraday's law of induction, which states that the induced EMF is equal to the rate of change of magnetic flux through the surface enclosed by the circuit. In this case, the magnetic flux through the rod would be changing as it moves through the magnetic field created by the B vector.

To calculate the induced EMF, you will need to determine the area of the surface enclosed by the circuit, which in this case would be the cross-sectional area of the rod. This can be multiplied by the rate of change of the magnetic flux, which would be the product of the magnetic field strength (B) and the velocity of the rod (V).

So the equation for the induced EMF would be: EMF = B x V x A, where B is the magnetic field strength, V is the velocity of the rod, and A is the cross-sectional area of the rod.

It's important to note that the direction of the induced EMF would depend on the direction of the magnetic field and the velocity of the rod. If the rod is moving horizontally, and the magnetic field is coming out of the screen, then the induced EMF would be vertical.

I hope this helps you in solving the last part of the problem. Remember to always consider the direction of the magnetic field and the velocity of the rod when calculating the induced EMF. Good luck!
 
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