Why Is It Sin Theta Instead of Cos Theta in Magnetic Flux Calculation?

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Homework Help Overview

The discussion revolves around the calculation of magnetic flux, specifically questioning the use of sine versus cosine in the formula. The original poster expresses confusion regarding the angle used in the magnetic flux equation, which is typically represented as NBA cos θ.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definitions of variables in the magnetic flux formula and the relationship between the angle in the problem and the angle used in the definition. There is a focus on understanding the geometric interpretation of the angles involved.

Discussion Status

Participants are actively engaging with the problem, questioning the definitions and relationships of angles in the context of magnetic flux. Some guidance has been offered regarding the geometric relationships, and there appears to be a productive exploration of the topic.

Contextual Notes

There is an emphasis on understanding the angle between the normal of the surface area and the magnetic field lines, as well as the angle depicted in the provided diagram. The discussion reflects a need for clarity on these definitions and their implications in the formula.

watthappening
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Homework Statement


I had know that for finding magnetic flux is NBA cos theta. The answer is C though, so why is it sin theta instead of cos theta? I wonder
18579155_1673876892626038_1946895226_n.jpg

Homework Equations


BA cos theta
NBA cos theta[/B]

The Attempt at a Solution

 
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This is the problem with memorizing formulas without making sure you know what the variables represent. Try to find in your notes or textbook where that formula was defined and see how the angle θ is defined there.
 
gneill said:
This is the problem with memorizing formulas without making sure you know what the variables represent. Try to find in your notes or textbook where that formula was defined and see how the angle θ is defined there.
I did know what the variables represent, the angle is between the normal of the area of the surface and magnetic field lines. But i still didnt get the reason.
 
watthappening said:
I did know what the variables represent, the angle is between the normal of the area of the surface and magnetic field lines. But i still didnt get the reason.
Okay, the angle in the given diagram does not subtend the area normal and the magnetic field direction. How does this given angle relate to the angle used in the definition? (It may help to use a little triangle geometry)
 
gneill said:
Okay, the angle in the given diagram does not subtend the area normal and the magnetic field direction. How does this given angle relate to the angle used in the definition? (It may help to use a little triangle geometry)
It's doesnt? oh well, I didnt know that
 
watthappening said:
It's doesnt? oh well, I didnt know that
The required area normal is perpendicular to the area of the coil "face", that is, it's perpendicular to the plane of the coil. The angle shown in the diagram subtends the magnetic field and the plane of the coil itself.
 
gneill said:
The required area normal is perpendicular to the area of the coil "face", that is, it's perpendicular to the plane of the coil. The angle shown in the diagram subtends the magnetic field and the plane of the coil itself.
is this correct?
18579420_1674036752610052_1806037394_n.jpg
 
Sure. That'll work. You should be able to see the relationship between the θ given in the problem figure to the one you've just drawn in.
 
gneill said:
Sure. That'll work. You should be able to see the relationship between the θ given in the problem figure to the one you've just drawn in.
alright thanks for the help, mate
 

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