How Do You Calculate Induced Current in a Loop?

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To calculate the induced current in a loop, one must recognize that an increasing current in a nearby wire creates a changing magnetic field, which leads to a changing magnetic flux through the loop. This change in magnetic flux induces an electromotive force (emf) according to Faraday's law of induction. Once the induced emf is determined, Ohm's law can be applied to find the current by considering the loop's resistance. Understanding the relationship between magnetic fields, flux, and induced current is crucial for solving such problems. The key takeaway is that the induced current is a direct result of the changing magnetic environment created by the current in the wire.
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Homework Statement



http://img27.imageshack.us/img27/1695/asdfgv.th.png

Homework Equations



Your guess is as good as mine

The Attempt at a Solution



I have no idea how to even begin this problem. What equations are relevant?
 
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The current in the wire at the top is increasing. This means you have a changing magnetic (and elcetric) field around the wire. It follows there will be a changing magnetic flux through your loop. A changing magnetic flux will induce an current (given that certain conditions hold). You can calculate this induced emf using faradyas law of induction. Once you have an emf it is easy to find the current using the resistivity and ohms law.
 

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