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I am having some troubles with some Electromagnetism questions. First of all can someone please explain the basics behind Electric fields. The question asks "What is the electric field around a conducting sphere of radius R carrying a charge Q". Does this imply that because the sphere is conducting that the charge is spread evenly and therefore can be considered as a point charge at the centre of the sphere? Does the use of Gauss's law help to get the correct answer, i.e

E= q/(4 x pi x permittivity of free space x r^2)x the unit vector in the field direction

I am slightly confused about this one.

The next part of the question asks " What is the electric potential at the surface of the sphere if the potential infinately far away is zero". As far as I know the potential is essentially a 'band' where the electric field is constant, so therefore is the electris field at the distance of the sphere, and because infinately far away = zero then at the surface is simply minus the field strength?

Please any explanation would be great. thanks