Understanding Flux and EMF in a Rotating Conducting Coil: True or False?

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SUMMARY

The discussion focuses on the behavior of magnetic flux and electromotive force (EMF) in a rotating conducting coil within a uniform magnetic field. Key conclusions include that in scenario B, the flux through the coil is zero and increasing, while in scenario A, the flux is zero and decreasing. The equations governing these phenomena are EMF = delta magnetic flux/delta time and Flux = B*A*cos(theta). The participant expresses confusion over the relationship between flux and EMF, particularly at maximum and minimum points.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the right-hand rule for magnetic fields
  • Knowledge of the equations for EMF and magnetic flux
  • Basic grasp of trigonometric functions in physics contexts
NEXT STEPS
  • Study the principles of Faraday's Law of Electromagnetic Induction
  • Learn about the applications of the right-hand rule in electromagnetism
  • Explore the relationship between magnetic flux and EMF in rotating systems
  • Investigate the effects of angular velocity on induced EMF in coils
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Students and educators in physics, electrical engineers, and anyone studying electromagnetic theory, particularly those focusing on rotating systems and their behavior in magnetic fields.

haxxorboi
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Homework Statement


The conducting coil rotates around the axis of rotation in the direction of the right-hand rule (thumb pointing along the axis of rotation, the fingers curl in the direction of rotation). A uniform magnetic field B points from left to right. The "flux" refers to the magnetic field flux through the coil; define the direction of positive flux as flux from the red side to the blue side.

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All questions are T/F

1. In B the flux through the coil is zero and increasing.
2. In A the flux through the coil is zero and decreasing.
3. In B the flux through the coil has the maximum positive value.
4. In A the emf around the coil has the maximum value.
5. In A the emf around the coil is zero.
6. In C the magnitude of the emf around the coil has the maximum value.
7. In A the flux through the coil has the maximum positive value.
8. In A the flux through the coil has the maximum negative value.

Homework Equations


EMF=delta magnetic flux/delta time
Flux=B*A*cos(theta)

The Attempt at a Solution


1. F, All flux through coil which will decrease
2. F, No flux through coil which will increase
3. T, All flux through coil which would make this a maximum point in flux graph
4. F, No flux = no EMF
5. T, Same reasoning as 4, except opposite answer
6. F, Again no flux means no EMF
7. F, No flux through coil in C
8. F, Zero flux is halfway to being the max negative flux, which would be position "D"

Can someone tell me what I'm messing up here. I'm obviously mixing something up here.

Thanks
 
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Ok, upon further thinking I've discovered in this case that...
Flux=sin(x)
EMF=-cos(x)

1. In B the flux through the coil is zero and increasing.
2. In A the flux through the coil is zero and decreasing.
3. In B the flux through the coil has the maximum positive value.
4. In A the emf around the coil has the maximum value.
5. In A the emf around the coil is zero.
6. In C the magnitude of the emf around the coil has the maximum value.
7. In A the flux through the coil has the maximum positive value.
8. In A the flux through the coil has the maximum negative value.

Thus,
1. F, flux is at a max and decreasing
2. F, flux is zero and increasing
3. T, flux at max
4. F, EMF is at minimum here
5. F, Again, it's minimum here
6. T, EMF at max here
7. F, flux at zero here
8. F, flux at zero here

This is hurting my head. Am I missing something huge here or what?
 
Anyone? I'm struggling here bad...
 

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