Question

Two similar conducting balls having charge + q and q are placed at a separation d from each other in the radius of each ball is r

Answer 1

Answer:

Explanation:

Hey

If you want to calculate capacitance of the two ball system then the solution of your query is given here..

$C =\frac{q}{V_A - V_B}$

but, $V_A = \frac{kq}{r}andV_B=\frac{-kq}{r}$

$c = \frac{q}{\frac{kq}{r}+\frac{kq}{r}}$

[Here, if d>>r, then only, it should be considered as point charges.]

c = 4πε₀$\frac{r_b*r_a}{r_b+r}$

=4πε₀$\frac{r_b*r_a}{r_b+r}$

=4πε₀$\frac{r^2}{2r}$

= 2πε₀r

Thus, capacitance of the two ball system is 2πε₀r.