What terms do you use when working with charged sphere as compared to the potential of a point charge

R= radius Q= total charge

Electric potential outside a uniformly charges sphere is

Identical to that of a point charge Q at the center where it is Vsphere= (1/4pieeo)(Q/r) as the r>_R

The more customary to speak of charging an electrode

Charging it to a certain potential which is also known as Vo as its the potential right on the surface of the sphere were Vo = V(at r=R) = (Q/ 4pieeoR)

So, a sphere of a radius R is charged to a potential Vo has a total charge of

Q= 4pieoRVo

Substituting Q into the potential outside a sphere is charged to a potential Vo as

Vsphere= (4pieeoRVo/4pieeor) = R/r x Vo as the sphere is charged to the potential Vo

Distance relationship with the potential on the surface

Distance is inversely proportional to the potential on the surface of a sphere, Vo so if we had r=3R & Vsphere= R/r x Vo So then Vsphere= R/3R x Vo= 1/3Vo

Differences with the electrical potential and potential energy with sphere related questions

Even with the interaction, not the same thing The interaction happens as electrical potential of the sphere Vsphere= 1/4pieeo x Q/r where r>_ R Vo= V(r=R) => Q/4pieeoR charge Q= 4pieeoRVo Combo for potential V= 4pieeoRVo/4pieeor= R/r x Vo Is used as a subsite for the conservation of energy equation Kf + Uf= Ki + Ui 1/2mvf^2+e (R/ri x Vo) = 1/2mvi^2 + e(R/ri x Vo)