Directions and EMF

fredrogers3

Homework Statement

An infinite straight wire carries a current I that varies with time as shown above. It increases from 0 at t = 0 to a maximum value I1 = 3.7 A at t = t1 = 14 s, remains constant at this value until t = t2 when it decreases linearly to a value I4 = -3.7 A at t = t4 = 30 s, passing through zero at t = t3 = 24.5 s. A conducting loop with sides W = 30 cm and L = 61 cm is fixed in the x-y plane at a distance d = 46 cm from the wire as shown.

What is ε1, the induced emf in the loop at time t = 7 s? Define the emf to be positive if the induced current in the loop is clockwise and negative if the current is counter-clockwise.

Image: http://img713.imageshack.us/img713/7218/h17bfromwire.png [Broken]

See Below

The Attempt at a Solution

My question on the problem concerns the direction of the induced EMF. The key says it should be negative and thus a current going counterclockwise. I'm a bit confused by this. At time t= 7s, the flux is increasing because the current is increasing. Therefore, by Lenz' law, wouldn't there be an induced magnetic field into the page to offset this positive change in flux. If so, by the right hand rule, doesn't this mean that the current must flow clockwise in the loop. That's my rationale, I can't see where I'm going wrong.

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