Understanding Electric Flux and Calculating it in Different Directions

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SUMMARY

This discussion focuses on understanding electric flux and its calculation in different orientations of the electric field. The formula for electric flux, represented as ∫ E · dA, simplifies to E dot A for uniform fields. Participants clarify that the angle between the electric field vector and the area vector is crucial for accurate calculations, particularly noting that if the electric field is perpendicular to the area vector, the flux equals zero due to the cosine of 90 degrees being zero.

PREREQUISITES
  • Understanding of electric fields and vectors
  • Familiarity with the concept of electric flux
  • Knowledge of vector dot products
  • Basic calculus for integration
NEXT STEPS
  • Study the principles of electric flux in different coordinate systems
  • Learn about vector calculus and its applications in electromagnetism
  • Explore the implications of electric field orientation on flux calculations
  • Investigate the relationship between electric flux and Gauss's Law
USEFUL FOR

Students of physics, educators teaching electromagnetism, and anyone involved in electrical engineering or related fields will benefit from this discussion.

mr_coffee
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Hello everyone. I'm having troubles figuring out part 2 of this problem, and also can u see if i did part 1 correctly? To me it looks like the flux is going to be equal, if the E-field is in the i direction or in the z direction but somthing tells me how can the angle be the same in both cases? THe directions and my work is in the picture below, thanks.
http://img134.imageshack.us/img134/5505/lastscan1nc.jpg
 
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[tex]\int E \cdot dA = \ flux[/tex], with a uniform field it just becomes E dot A. All you have to do is the dot product of your two vectors for both of them. For aprt b) the angle between the two vectors is not 67.4.

Hint, the first vector lies completely on the xy plane..
 
Ahh Thanks!
for part (b) it would be flux of 0 wouldn't it? because the E field is perpendicular to the Area vector which is cos(90) = 0. Right?
 

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