Point charges and electrostatic potentials notes required
I have a quick question about understanding the theory behind point charges and electrostatic potentials. I've not had any classes in electrodynamics, so I lack a comfortable foundation to help me think about these problems.
I need to determine the electrostatic potential a certain distance from a charged sphere. I know you can view a sphere as a point charge and apply Gauss's Law, but the difference for me is that my sphere is made up of hundreds of individual charges composing this sphere. Each charge can be viewed as individual point charges and they all have the same value.
What I do not understand is how do I get a single charge value for the sphere.
I thought about taking the (Q/r) portion of Guass's law and doing a summation over all the atoms, but with the amount of atoms making up the sphere this is unreasonable. Is there some simpler way to think about this problem?