Magnitude and direction of induced current with magnetic field

AI Thread Summary
The discussion revolves around calculating the induced current in a conducting rod moving through a magnetic field. The rod, measuring 25 cm and experiencing a magnetic field of 0.40 T, is moved at a constant speed of 6.0 m/s on a U-shaped wire with an 8-ohm resistance. Participants highlight the importance of Faraday's law, which relates the change in magnetic flux to induced electromotive force (EMF). To find the induced current, the relationship between velocity, magnetic field, and the rod's length must be applied, leading to the formula for current as I = EMF/R. Understanding these principles will help solve the problem effectively.
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Homework Statement


A conducting rod whose length is 25 cm is placed on a U-shaped metal wire that has a resistance of 8 ohm. The wire and rod are placed in the plane of the paper. A constant magnetic field of strength 0.40 T is applied out of the paper. An applied force moves the rod to the left with a constant speed of 6.0 m/s. What is the magnitude and direction of the induced current in the wire?


Homework Equations


Fwire = iLB
I = V/R
F = qvB

The Attempt at a Solution


I don't understand how to solve for the current. Is there a relationship between velocity and something else here that can help me solve for it? I have the length (.25m) and B field (.40T), so if I knew current I could solve for F. I also don't know how to find q of the conducting rod.

The figure is attached. Thanks!
 

Attachments

Physics news on Phys.org
Can anyone help me with this problem? Thanks!
 
Do you know faraday's law? Remember that flux is \int \int B \cdot da[/tex]. The negative time derivative of flux will give you EMF (or voltage).
 

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