Flux through a cube at an angle

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SUMMARY

The discussion focuses on calculating the electric flux through a cube in a uniform electric field of 600 N/C, oriented at 30 degrees from the +y axis and 60 degrees from the +z axis. The formula used for electric flux is Φ = EAcos θ, where E is the electric field strength, A is the area, and θ is the angle between the field and the normal to the surface. The user initially calculated the flux for one face of the cube but questioned the approach due to the angle of the electric field. Ultimately, the user resolved their confusion and confirmed the correct application of the formula.

PREREQUISITES
  • Understanding of electric flux and its calculation
  • Familiarity with the formula Φ = EAcos θ
  • Basic knowledge of vector components in electric fields
  • Concept of area and its relation to surface orientation
NEXT STEPS
  • Study the concept of electric field orientation and its impact on flux calculations
  • Learn about vector decomposition in electric fields
  • Explore examples of electric flux through different geometric shapes
  • Review the implications of angles in electric field problems
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electromagnetism, particularly those dealing with electric flux calculations in non-standard orientations.

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Homework Statement


A uniform electric field with a magnitude of 600 N/C is shown pointing in the y-z plane, at 30 degrees from the +y axis and at 60 degrees from the +z axis. This electric field passes through a cube, with each side of length 2.0cm and oriented with faces in the +x, +y, and +z directions. For each face of the cube, calculate the electric flux, and then add these results to find the net electric flux.

Homework Equations



[itex]\Phi[/itex] =EAcos [itex]\theta[/itex]

The Attempt at a Solution



I started off doing the left face:
(600)(.02)^2cos60=0.12

What I'm not sure on, and I guess what I'm more questioning is, since the field is at this angle do I need to set the equation up differently? My instructor has never shown us any problem like this, nor is there one in my book. Everything is always parallel or perpendicular in the examples, so do I do anything different here?
 
Last edited:
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forgot to upload diagram
 

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Disregard this, I was making it more difficult than it was. Problem solved.
 

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