Induced EMF Moving Current Loop

AI Thread Summary
The discussion focuses on the confusion surrounding the negative sign in the induced EMF problem involving a moving current loop. It clarifies that computing the curl results in -10v_{0} \hat{k}, and the normal direction of the surface is -\hat{k}, which suggests the negative sign should cancel. The line integral is specified as counter-clockwise, indicating that the current actually flows clockwise. The participants aim to clarify these concepts to resolve misunderstandings. Overall, the conversation emphasizes the interpretation of directionality in the context of induced EMF.
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Homework Statement



See figure attached.

Homework Equations





The Attempt at a Solution



I'm having some confusion about the negative sign within this problem.

If you compute the curl of the expression shown in the figure you'll find that it's equal to,

-10v_{0} \hat{k}

But if we take the direction of the normal of the surface to be

-\hat{k}

so it points in the same direction that negative sign in his solution should go away, correct?
 

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In the problem they tell you the line integral is in the counter-clockwise direction, the minus sign just means the current flows clockwise.

Hope this helps.
 
Spinnor said:
In the problem they tell you the line integral is in the counter-clockwise direction, the minus sign just means the current flows clockwise.

Hope this helps.

Sorry I misunderstood your comment.

This is more clear now.
 
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