A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system (0,0,0). It has six faces (and so six different normal directions): The electric field in this region is given by (E, & E, are both positive): Ē = E, ÷i+ Eoj î + 4. What is the flux through each face? Face Flux Face Flux Face Flux Front (z=L) Left (x=0) Bottom (y=0) Rear (z=0) Right (x=L) Top (y=L) 5. What charge, if any, is enclosed by this Gaussian cube?

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A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system
(0,0,0). It has six faces (and so six different normal directions):
The electric field in this region is given by (E, & E, are both
positive):
= E,î+ Eoĵ
4.
What is the flux through each face?
Face
Flux
Face
Flux
Face
Flux
Front (z=L)
Left (x=0)
Bottom (y=0)
Rear (z=0)
Right (x=L)
Top (y=L)
5.
What charge, if any, is enclosed by this Gaussian cube?
Transcribed Image Text:A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system (0,0,0). It has six faces (and so six different normal directions): The electric field in this region is given by (E, & E, are both positive): = E,î+ Eoĵ 4. What is the flux through each face? Face Flux Face Flux Face Flux Front (z=L) Left (x=0) Bottom (y=0) Rear (z=0) Right (x=L) Top (y=L) 5. What charge, if any, is enclosed by this Gaussian cube?
Expert Solution
Step 1

Given :

electric field, E=E1xLi^+E0j^

side of the cube, L

 

Determine :-

(4) flux through each face

 

(5) charge enclosed inside the cube

 

Outgoing flux is taken as +ve and incoming flux in the surface is taken as -ve.

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