Magnetic Flux in 2.6T Field & 26cm Square Loop

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SUMMARY

The discussion centers on calculating magnetic flux through a square loop in a 2.6T magnetic field at a 30-degree angle. The correct formula for magnetic flux is given by φ = BAcos(θ), where θ must be the angle between the magnetic field and the normal to the loop's plane. The initial calculation using 30 degrees was incorrect; the angle to use is actually 60 degrees, derived from the relationship between the angle with the plane and the normal. The final correct flux calculation is φ = 2.6 * 0.26^2 * cos(60°), resulting in the correct value.

PREREQUISITES
  • Understanding of magnetic flux and its formula φ = BAcos(θ)
  • Knowledge of vector angles and their relationship to planes
  • Familiarity with the concept of normal vectors in physics
  • Basic proficiency in trigonometry, specifically cosine functions
NEXT STEPS
  • Study the concept of magnetic flux in detail, focusing on the formula φ = BAcos(θ)
  • Learn about the significance of the angle between magnetic fields and surfaces in electromagnetic theory
  • Explore vector mathematics, particularly how angles relate to normal vectors
  • Practice problems involving magnetic fields and flux calculations to reinforce understanding
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone looking to deepen their understanding of magnetic flux and its calculations.

pat666
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Homework Statement


A 2.6T magnetic field makes a 30 degree angle with a square loop 26cm on a side.


Homework Equations



phi=BAcos(theta)

The Attempt at a Solution


this should be a very simple question.
phi=2.6*.26^2cos30
phi=0.15Wb
mastering physics says this is wrong but I can't see any reason why? should it be negative or something?
thanks for any help/
 
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pat666 said:

Homework Statement


A 2.6T magnetic field makes a 30 degree angle with a square loop 26cm on a side.

Does this mean that the magnetic field encloses 30 degree with the plane of the loop? In the formula for the flux, you have to use the angle with respect to the normal of the plane.

ehild
 
so how do I find theta ? or would it be 90 degrees making the flux 0?
 
The flux is maximum if the magnetic field is normal to the plane and 0 if the field is parallel to the plane.

ehild
 
I still don't know what the angle should be though, why is 30 degrees not working?
 
30° might mean the angle the field encloses with the plane, but you need the angle between the field and the normal of the plane. If a vector makes an angle alpha with a plane than it encloses (90°-alpha) with the normal.
And yes, theta=90° would make the flux 0 as the field is parallel to the plane and would not cross it.

ehild
 
so the angle I should use is 60 degrees?
 
Try.

ehild
 
Yeah that did it, thanks a lot ehild.
 

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