Electric Flux with Calculus Video Lessons

Video Thumbnail

Concept

Problem: A point charge of magnitude q is at the center of a cube with sides of length L. Part A. What is the electric flux through each of the six faces of the cube? Use εo for the permittivity of free space (not the EMF symbol Eo). Part B. What would be the flux Φ1 through a face of the cube if its sides were of length L1? Use εo for the permittivity of free space.

FREE Expert Solution

Electric flux:

ϕE=E·ds=qε0

Part A

A cube has 6 faces with equal area.

E·ds=qε0E(A1+A2+A3+A4+A5+A6)=qε0E·6A=qε0

View Complete Written Solution
Problem Details

A point charge of magnitude q is at the center of a cube with sides of length L. 

Part A. What is the electric flux through each of the six faces of the cube? Use εo for the permittivity of free space (not the EMF symbol Eo). 

Part B. What would be the flux Φ1 through a face of the cube if its sides were of length L1? Use εo for the permittivity of free space.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Flux with Calculus concept. You can view video lessons to learn Electric Flux with Calculus. Or if you need more Electric Flux with Calculus practice, you can also practice Electric Flux with Calculus practice problems.