question_answer

Two small identical metal balls of radius r are at a distance a from each other and are charged, one with a potential V, and the other with a potential. The charges on the balls are:

A) \[{{q}_{1}}={{V}_{1}}a,{{q}_{2}}={{V}_{2}}a\]

B) \[{{q}_{1}}={{V}_{1}}r,{{q}_{2}}={{V}_{2}}r\]

C) \[{{q}_{1}}=\left( \frac{{{V}_{1}}+{{V}_{2}}}{2} \right)a,{{q}_{2}}=\left( \frac{{{V}_{1}}+{{V}_{2}}}{2} \right)r\]

D) \[{{q}_{1}}=-\frac{r}{a}\left( r{{V}_{2}}-a{{V}_{1}} \right)a,{{q}_{2}}=-\frac{r}{a}\left( r{{V}_{1}}-a{{V}_{2}} \right)\]