A long, straight wire lies on a table and carries a constant current I. A rectan

Question

A long, straight wire lies on a table and carries a constant current I. A rectangular loop of wire of length l, width w, and resistance R is placed on the table a distance s from the wire. What is the direction of the magnetic field passing through the rectangular loop relative to the coordinate axes shown above on the right? The rectangular loop is now moved along the tabletop directly away from the wire at a constant speed v = |ds/dt| as shown to the right. Determine the direction of: the induced magnetic field; the induced current in the loop. Explain your reasoning. What is the direction of the net magnetic force exerted by the wire on the moving loop relative to the coordinate axes shown above on the right? Explain your reasoning. Let I_ind represent the current induced in the loop. Calculate the net magnetic force exerted by the wire on the moving loop. Give your answer in terms of some or all of the given quantities I_ind, I, l, w, s, R, and any necessary physical constants.

Explanation / Answer

the direction of magnetic field is into the page through the rectangle. (negative z direction)

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