Gauss's Law?

Question

a spherical Gaussian surface encloses a point charge q. if the point charge is moved from the center of the sphere to a point away from the center, does the electric field at a point on the surface change? does the total flux through the Gaussian surface changed?explain..

Answer 1

The answer to the first question is yes. The electric field at a point on the surface will change and that can be calculated using Coloumb's Law. The answer to the second question is no. The net flux will remain the same as long as the charge is inside the surface. That is exactly what Gauss' Law says. It only depends on how much charge is enclosed inside the surface. It doesn't matter where it is or how it is distributed. Only the net charge enclosed matters.

Answer 2

Electric field will change if the charge is moved. According to coulombs law Electric field is inversely proportional to the distance between the point and the charge.

But flux will not change. Flux is basically the number of field lines passing throught the gaussian surface. So here it is a sphere so the flux wont change if the charge is moved inside it.

Answer 3

There is no change in the electric field. As long as the charge is inside the sphere, Gauss' law say that the total electric flux integrated over the surface of the sphere is equal to the net charge in the sphere. It does not however say the s[atial distribution of the field remains the same.