A charge q = +4.61 ? C is located at the center of a regular tetrahedron (a four

Question

A charge q = +4.61 ?C is located at the center of a regular tetrahedron (a four-sided surface) as in figure below.

(a) Find the total electric flux through the tetrahedron.
N ? m2/C

(b) Find the electric flux through one face of the tetrahedron.
N ? m2/C

A charge q = +4.61 ?C is located at the center of a regular tetrahedron (a four-sided surface) as in figure below. (a) Find the total electric flux through the tetrahedron. N ½ m^2/C (b) Find the electric flux through one face of the tetrahedron. N ½ m^2/C

Explanation / Answer

Per Gauss's law, the flux of a closed surface = total enclosed charge q/e0.

From one face of a regular tetrahedron we have 1/4 of the total flux,

or

4.61 microC = 4.61E-6 C

q/(4e0) = 4.61E-6/(4*8.854187817E-12) = 130164.54 N-m^2/C

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