state Gauss's law. derive and expression for electric field due to infinite plane of charge
Answers
Hii guy...
Gauss' Law is a law that describes what an electric field will look like due to a known distribution of electric charge. It was first formulated in the 19th century. Gauss' Law also comprises one of the four Maxwell's Equations that describe the force of electromagnetism.
To be more specific, Gauss' Law can be explained in words as: the total of the electric flux out of a closed surface is equal to the magnitude of the charge enclosed divided by the permittivity of free space. As a mathematical equation, it looks like this:
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Q is the charge enclosed by a surface, epsilon-zero is the permittivity of free space, which is just a constant that is always equal to 8.85 x 10^-12, and phi is the electric flux through the surface.
But what is electric flux? The electric flux, represented by the Greek letter phi, is the electric field, E, multiplied by the area, A, of a surface perpendicular to the field. Phi equals EA. It's basically the number of field lines that pass through a surface -- more field lines means a larger flux.
So for example, you could use Gauss' Law to figure out the electric field created by a charged conducting sphere. In that case, you have a charge surrounded by a spherical surface. If you wanted to know the total flux, you would take the electric field strength at the surface of the sphere, and multiply it by the surface area of the sphere.
But not all surfaces are spheres. So the exact equation for Gauss' Law varies depending on the particular surface you're looking at.
