Determine the net charge contained within the cube

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Homework Help Overview

The problem involves calculating the net charge contained within a cube based on the electric field values at its surfaces. The cube has a specified edge length, and the electric field is given for the top and bottom faces.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss calculating electric flux using the electric field and area, and then relate it to the charge enclosed using the permittivity constant. There are attempts to clarify the calculations and the values used.

Discussion Status

Some participants are sharing their calculations and results, while others are correcting their approaches. There is an acknowledgment of mistakes in the calculations, and guidance is being offered to clarify the method.

Contextual Notes

Participants are working with specific values for electric fields and the geometry of the cube, but there may be confusion regarding the calculations leading to unexpected results.

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Homework Statement


At each point on the surface of the cube shown in the figure, the electric field is parallel to the z axis. The length of each edge of the cube is 3.7 m. On the top face of the cube = -40 N/C, and on the bottom face of the cube = +10 N/C. Determine the net charge contained within the cube.






Homework Equations



flux = E x A

flux = charge enclosed/ permittivity constant (epsilon-naught)



The Attempt at a Solution



I first plugged the numbers to find the flux of the the ends of the cube, then the plugged that into the second equation to find the charge enclose, but I got a really small number that wasn't right.
 
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What number you got?
 
-6x10^13 I meant a really big number.
 
I am getting ..6. ..E-9.

Flux is 684.5 (simply adding two together)
and then electric constant is 8.854E-12
 
Ahh, and then its negative, I didn't add the two together I was only using one. Dumb mistake, but thank you soo much!
 

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