Direction of induced EMF in loop

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The discussion centers on determining the direction of induced electromotive force (emf) in a loop based on Faraday's and Lenz's laws. The current in the wire is increasing upwards, leading to a magnetic field directed into the page, which should induce a counteracting magnetic field out of the page. This would suggest a counter-clockwise induced emf according to the Right-Hand Rule. However, the original conclusion is questioned, prompting a reevaluation of the statements made. The conversation also touches on a misunderstanding regarding the behavior of a sine function, which is clarified.
iharuyuki
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Homework Statement


upload_2015-4-14_14-46-44.png


Homework Equations



Faraday's and Lenz' law.

emf = -d(ф)/dt

The Attempt at a Solution


The current is increasing upwards during that time interval.
Thus, by Right-Hand-Rule, the magnetic field goes into the page at the loop.
Lenz' law says that the loop's induced emf will produce a magnetic field that opposes the field from the wire.
Thus a magnetic field in the opposite direction, out of page, would mean, by RHR, that the induced emf is counter-clockwise.

This is however not the answer. Which one of the above statements is flawed?

Thank you very much.
 
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