Delphi51 said:Think of the tetrahedron surface enclosing the charge. You can easily calculate the total flux through the whole surface using your formula.
Now, what fraction of that will go through one face of the tetrahedron? Note: be sure you know what a "regular" tetrahedron is.
Delphi51 said:Eo in Gauss' law is supposed to be written epsilon sub zero, the permittivity of free space.
It is 8.85 x 10^-12 farad/meter.
Check it out at http://en.wikipedia.org/wiki/Electric_constant
They have other names for it and several variations on the units that could be useful to you here.
Electric flux through a multihedral face is a measure of the amount of electric field passing through a given surface. It is represented by the symbol Φ and is measured in units of volts per meter (V/m).
The electric flux through a multihedral face can be calculated by taking the dot product of the electric field vector and the surface vector. This calculation takes into account the angle between the two vectors and is represented by the equation Φ = E * A * cos(θ), where E is the electric field, A is the surface area, and θ is the angle between the two vectors.
The electric flux through a multihedral face is an important concept in electromagnetism as it helps to describe the strength and direction of an electric field. It is also used in many practical applications, such as in the design of electrical circuits and devices.
Yes, the electric flux through a multihedral face can be negative. This occurs when the electric field and surface vector are in opposite directions, resulting in a negative dot product. A negative electric flux indicates that the electric field is leaving the surface, while a positive electric flux indicates that the electric field is entering the surface.
Gauss's Law states that the electric flux through a closed surface is equal to the charge enclosed by that surface divided by the permittivity of free space (ε0). This means that by calculating the electric flux through a multihedral face, we can determine the amount of charge enclosed by the surface. This relationship is often used in the analysis of electric fields and their behavior around charged objects.