Induced EMF Moving Current Loop

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jegues
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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,

[tex]-10v_{0} \hat{k}[/tex]

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

[tex]-\hat{k}[/tex]

so it points in the same direction that negative sign in his solution should go away, correct?
 
Attachments
  • Handwritten solution from a textbook showing the curl step of an induced EMF calculation for a moving square loop, with a handwritten note asking whether the negative sign matters, and a sketch of the square loop with B(x) and velocity v(x).
    FaradayNegative.JPG
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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.