(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

http://tinypic.com/r/rlidg7/5

The picture above shows four different cases of a conducting square loop (in orange), traveling at speed v and passing through a rectangular region. In the left half of the rectangular region, the magnetic field is uniform and directed into the screen; in the right half, the magnetic field is uniform and directed out of the screen. The field has the same magnitude in each half of the rectangular region, and there is no magnetic field outside the rectangular region.

Rank the four cases based on the magnitude of the total magnetic flux passing through the loop, from largest to smallest, at the instant shown in the picture.

Rank the four cases based on the magnitude of their induced current, from largest to smallest, at the instant shown in the picture.

What is the direction of the induced current for each case: counter-, clockwise, or none.

2. Relevant equations

I don't think I will be needing any equations for this problem.

3. The attempt at a solution

I think I got part a down. Cases A and C have zero total magnetic flux due to opposing directions of magnetic field. And Case B has the highest magnitude due to most field lines.

I am really confused for the other two parts. How can there be an induced current at an instant? If it is moving for an instant afterwards, how can I tell what the magnitude of the induced current is?

Additionally for the last part, the direction, I think Case C would have no direction. Case A seems to be getting more out of the page direction, so the opposing field of the induced current should be into the page. Using the right hand rule, would the direction of the induced current be clockwise? Using the same method, I feel that B would also be clockwise and D would be counterclockwise.

Thanks for taking your time to read this and helping me out!

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# Homework Help: Magnetic Field Induced Current Problem

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