Finding Magnetic Field for Infinite Sheet Concept

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SUMMARY

The discussion centers on calculating the magnetic field generated by an infinite charged sheet using the equation dB = μ0/(4π) dq * v × r / r², where dq = σ * da = σ * L * dx. The participants explore whether this method can yield the same numerical results as Ampère's Law under specific conditions, including the z distance, length of area, distance in the x direction, velocity, and surface charge density (σ). The clarity of the setup is crucial for determining the applicability of the equation.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically magnetic fields.
  • Familiarity with Ampère's Law and its applications.
  • Knowledge of vector calculus, particularly cross products.
  • Basic concepts of charge density and its implications in physics.
NEXT STEPS
  • Study the application of Ampère's Law in various geometries.
  • Learn about the derivation and implications of the Biot-Savart Law.
  • Investigate the behavior of magnetic fields around infinite charged sheets.
  • Explore vector calculus techniques relevant to electromagnetic fields.
USEFUL FOR

Physics students, electrical engineers, and anyone interested in advanced electromagnetic theory and its applications in real-world scenarios.

ltkach
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Hello, this is not a homework assignment. I am referencing an old assignment from a few semesters ago. I am curious if I can use the basic:dB = mu/4pi dq * v X r /r^2; where dq = sigma*da=sigma*L*dx;

instead of just using Amp's Law.

this stuff was fun...dunno if i was at all correct.

things the problem has to give me for my method to have the same numerical value, if method is equivalent is: the z distance, length of area, a distance in the x direction, velocity, and sigma.
 

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Hi there,
Unfortunately, your setup isn't immediately clear from your post, so it's hard to say if the equation you wrote applies. You mention an infinite sheet of something? Also, many of those symbols you used are in the frequently used section to the right when you click "Go Advanced"; would make things far more readable.
dB = μ0/(4∏) dq * v X r /r2; where dq = Ʃ*da=Ʃ*L*dx;
It looks like your infinite plate is charged and moving? And you want to figure out the magnetic field some distance from it? My guess here is you shouldn't need the full Amp's Law, but not 100% clear on the setup.
 
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