Flux of a Point Charge Inside a Cube: Part A & B

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Homework Help Overview

The problem involves calculating the electric flux through the faces of a cube that contains a point charge at its center. It is set within the context of electrostatics and applies Gauss' law to determine the flux distribution across the cube's surfaces.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to start the problem, prompting a request for guidance. Some participants suggest using Gauss' law and discuss the implications of the charge's position within the cube. There is a question regarding the correct formulation of the flux equation.

Discussion Status

Participants are exploring the application of Gauss' law and discussing the relationship between the total flux and the flux through individual faces of the cube. There is an ongoing clarification regarding the mathematical representation of the flux, but no consensus has been reached.

Contextual Notes

The problem is constrained by the requirement to consider the cube's geometry and the position of the charge, as well as the implications of changing the cube's side length in part B.

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Homework Statement



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 Phi through each of the six faces of the cube?
Part B
What would be the flux \phithrough a face of the cube if its sides were of length L1?


Homework Equations



\phi=Ea cos theta

\phi = q/Eo

The Attempt at a Solution



Not sure of where to begin. Can someone show me how to tackle this?
 
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Use Gauss' law. Remember that since the charge is at the cube's center, and all of the cube's sides are identical, the flux through one side is one-sixth the flux through the whole thing.
 
(1/6)\epsilon0/q?
 
Close, but q is supposed to be on the top and epsilon at the bottom.
 

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