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.
jegues
Messages
1,085
Reaction score
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,

-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?
 

Attachments

  • FaradayNegative.JPG
    FaradayNegative.JPG
    43.1 KB · Views: 597
Physics news on Phys.org
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.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top