Induced EMF Moving Current Loop

In summary, the conversation discusses confusion about a negative sign in a problem involving a line integral. It is clarified that the minus sign represents the direction of the current flow, which is opposite to the direction of the line integral. The figure attached shows the expression and the direction of the normal of the surface.
  • #1
jegues
1,097
3

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?
 

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  • #2
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.
 
  • #3
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.
 

1. What is induced EMF in a moving current loop?

Induced EMF (electromotive force) in a moving current loop refers to the voltage generated in the loop due to a changing magnetic field. It is a result of Faraday's law of induction, which states that a changing magnetic field will induce an electric field.

2. How does a moving current loop create induced EMF?

When a current-carrying loop moves through a magnetic field, the magnetic flux through the loop changes. This change in flux induces an electric field within the loop, which in turn creates an induced EMF.

3. What factors affect the magnitude of induced EMF in a moving current loop?

The magnitude of induced EMF in a moving current loop depends on the strength of the magnetic field, the speed of the loop, and the angle between the loop and the magnetic field. A stronger magnetic field, faster speed, and a larger angle will result in a higher induced EMF.

4. Can induced EMF be used to generate electricity?

Yes, induced EMF can be used to generate electricity. Many electrical devices, such as generators and transformers, utilize induced EMF to convert mechanical energy into electrical energy.

5. How is induced EMF in a moving current loop different from that in a stationary loop?

The main difference between induced EMF in a moving current loop and a stationary loop is that in a moving loop, the induced EMF is constantly changing as the loop moves through the magnetic field. In a stationary loop, the induced EMF is only present when there is a change in the magnetic field.

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