A conducting rod of mass m and length l slides without friction on two rails. A

Question

A conducting rod of mass m and length l slides without friction on two rails. A power supply attached to the rails provides a constant current I.

There is a picture that shows that the conducting rod is pointed to move away from the power supply because the current between the rails is rotating clockwise. The picture essentially looks like (if you need to visualize it) two rails, a rod on the rails on the left side of the picture sliding to the left and the power supply is on the right side of the rails so the rod is sliding away from the power supply. Derive an expression for the acceleration of the bar in terms of, current, mass, length. Note: there is no uniform magnetic field!
There is a picture that shows that the conducting rod is pointed to move away from the power supply because the current between the rails is rotating clockwise. The picture essentially looks like (if you need to visualize it) two rails, a rod on the rails on the left side of the picture sliding to the left and the power supply is on the right side of the rails so the rod is sliding away from the power supply. Derive an expression for the acceleration of the bar in terms of, current, mass, length. Note: there is no uniform magnetic field!

Explanation / Answer

hmmm.strange question.can't imagine why the rod would move in the first place. but if it does, then the power given out by the power source should be fully converted into power of rod assuming 100% efficiency. so, resistance x current^2 = force x velocity. VI = Fv but F=ma where a is acceleration. also, resistance can be expressed in terms of resistivity and length of rod which is how length comes into the picture. see if this gives you the answer. are you sure you're not missing any details?

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