Quick question about magnetic fields

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SUMMARY

The discussion focuses on calculating the total force experienced by a rectangular loop in a magnetic field defined by B = (6x, -9y, 3z) within the z = 0 plane, with dimensions 1 PREREQUISITES

  • Understanding of electromagnetic force calculations
  • Familiarity with vector calculus and cross products
  • Knowledge of magnetic fields and their properties
  • Experience with integration techniques in physics
NEXT STEPS
  • Study the application of the torque equation in electromagnetic systems
  • Learn about the integration of vector fields over geometric shapes
  • Explore the principles of magnetic field variations and their effects on current-carrying loops
  • Review the fundamentals of the Lorentz force law in electromagnetism
USEFUL FOR

Physics students, electrical engineers, and anyone involved in electromagnetic theory and applications will benefit from this discussion.

formulajoe
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given that B = (6x, -9y, 3z) find the total force experienced by a rectangular loop in the z = 0 plane.
1<x<3
1<y<2

i used the torque equation, but my question is if i have to do the integration for all 4 sides of the rectangle.
T = int(dl cross B)
 
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I don't get it,what's the curreent in the loop?

Daniel.
 
oh yea, there's 5 A in the counterclockwise direction
 
Okay,then.U know the expression for the electromagnetic force (the one containing the cross product) in diff.form.Apply it for the 4 sides of the rectangle and do those integrations (u need them,because the field is not constant) .Then simply add the 4 resulting vectors...

Daniel.
 

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