# Moving a loop of wire away from a current carrying wire

1. Mar 22, 2013

### warfreak131

1. The problem statement, all variables and given/known data

Hey all, I am studying for the GRE and I need help with this question:

A rectangular loop of wire with dimensions shown above (see attachment) is coplanar with a long wire carrying current I. The distance between the wire and the left side of the loop is r. The loop is pulled to the right as indicated.

What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop as the loop is pulled?

Induced Current ... Force on Left Side ... Force on Right Side

A. Counterclockwise ... To the left ... To the right

B. Counterclockwise ... To the left ... To the left

C. Counterclockwise ... To the right ... To the left

D. Clockwise ... To the right ... To the left

E. Clockwise ... To the left ... To the right

3. The attempt at a solution

Currently, the magnetic field from the current wire is moving into the page along the right side. As the loop is pulled away, it attempts to maintain the magnetic field. This means that the induced magnetic field along both sides of the loop are of the same orientation as before.

The left side of the loop experiences a greater magnetic force than the left side, meaning the current would travel clockwise.

If you look at the magnetic force, F=q(VxB), and calculate the force for a positive charge, the left side force would be to the left, and the right side force to the right. Since electrons are negative and travel in opposition to current, v becomes -v, and q becomes -q. This double negative cancels out, though.

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Last edited: Mar 22, 2013
2. Mar 22, 2013

### BruceW

yep. You've got the right answer. I'm not sure what you mean by "the induced magnetic field along both sides of the loop are of the same orientation as before."

3. Mar 22, 2013

### warfreak131

Thanks.

Take for instance if the loop was moving closer to the loop. It would want to maintain the original, weaker magnetic field. Therefore it would induce a magnetic field with the opposite polarity.

But since this is going away from the wire, it wants to maintain the original stronger field, so it induced a magnetic field with the same polarity.

4. Mar 22, 2013

### BruceW

ah, yeah, that all sounds good. nice explanation.