Surface integrals and line integrals

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SUMMARY

This discussion clarifies that when calculating the electric field due to a plane sheet or the magnetic field due to a wire, the analysis is performed at a single point by summing contributions from the entire plane or wire. The method employed involves integrating the contributions across the surface or along the length of the wire to determine the resultant field at that specific point. This approach is essential for accurately modeling fields in electromagnetism.

PREREQUISITES
  • Understanding of vector calculus
  • Familiarity with electric and magnetic fields
  • Knowledge of integration techniques
  • Basic concepts of surface and line integrals
NEXT STEPS
  • Study the principles of vector calculus in electromagnetism
  • Learn about the application of surface integrals in calculating electric fields
  • Explore line integrals for magnetic field calculations
  • Investigate the use of Gauss's Law and Ampère's Law in field calculations
USEFUL FOR

Students and professionals in physics, electrical engineering, and applied mathematics who are focused on understanding electromagnetic field calculations and their applications in real-world scenarios.

superkraken
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Homework Statement



when we calculate the electric field due to a plane sheet or the magnetic field due to a wire,are we calculating it at a single point or the whole field due to the total wire?

Homework Equations

The Attempt at a Solution

 
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You are calculating the field at a single point by adding contributions from the entire plane or wire.
 
superkraken said:

Homework Statement



when we calculate the electric field due to a plane sheet or the magnetic field due to a wire,are we calculating it at a single point or the whole field due to the total wire?

Homework Equations

The Attempt at a Solution

What method are you using in each of these cases?
 

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