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Gauss's Law for Electric Fields Assignment Help at HelpWithAssignment.com
Kal Friedrich Guass (1777-1855) was a German scientist and mathematician known for a relation known as Gauss's Law. His law was a statement of an important property of electrostatic fields. With your understanding of field lines, it will be easy for you to understand Gauss's Law.
The field of an isolated electric charge q can be represented by field lines that radiate outward, right? Let's say we surround this charge with a sphere of radius R with the charge being at the center. This sphere's surface is, therefore 4R^2. So if the number of field lines from the charge q is N, then the number of lines per unit surface area on the sphere is N/(4R^2).
Now what if we surround this sphere with another one, with a radius of 2R? The surface area is now 16R^2 and the number of lines per unit area is only N/(16R^2). The line density is only a fourth of the first sphere, which makes sense since the radius of the second sphere is twice that of the first.
However, the total number of lines emanating through at the 2R sphere is the same as the R sphere. The field is inversely proportional to R squared, and the area of the sphere is proportional to R squared. So that means the product of the two is independent of R. Now for a sphere of a variable radius r, the magnitude E of the surface is:
E = 1/ 40 . q/r^2
The surface area of the sphere is: A = 4r^2
So if you multiply the two you get: EA = q/ 0
This means that the product of the two is independent of r and depends only on the charge of q.
Some other topics that we deal with in general are Mechanics, Thermal Physics, Electricity, Magnetism, Electromagnetic Induction, Optics, Wave Nature, Modern Physics, and Nuclear Physics.
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