Hi I am having trouble with this problem: 57. Find the flux through a tetrahedro

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Hi I am having trouble with this problem:

57. Find the flux through a tetrahedron (a 4 sided pyramid where each side is an equilateral traingle) that contains a Q=60nC charge?
units are given as Nm2/C
(Where would the charge need to be located inside the tetrahedron so that the flux through each side is 1/4 of the total flux through the entire surface? Does the size of the tetrahedron affect your answer?)


59. Find the flux through the equilateral triangle with corners at the points (1m,0,0), (0,1m,0), and (0,0,1m) in x,y,z space (measured in meters) for an electric field with magnitude E=6N/C pointing
(a) in the z direction,
units are given as Nm2/C
(b) parallel to the line y = x.
units are given as Nm2/C

Any help or advice would be uch appreciated, thanks!

Explanation / Answer

Total flux through tetrahedron=qenclosed/0=60*10-9/8.85*10-12=6776Nm2/C

For the flux hrough each side to be 1/4th the total, the charge should be placed at the centre of the tetrahedron. The size of the tetrahedron does not affect the answer.

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