>Consider two spherical balls, $A$ and $B$, of charge $Q$, $-Q$ respectively,at $R$ distance from each other. Ball $A$ has mass $M$, ball $B$ has mass $m$. Ball $A$ orbits around ball $B$ with velocity $v$. A magnetic field $B$ is being applied going out of the page.

>Prove :
$$
g = 4\pi 8.85\times10^{-12}\frac{GEBR}{v}
$$

>Where $E$ is the electric field between the two spheres, $G$ is the gravitational constant equal $6.67\times10^{-11}$

Hi, hard to understand your question because of the formatting. What is this:
"g = 4\pi 8.85\times10^{-12}\frac{GEBR}{v}"?

"Ball $A$ orbits around ball $B$ with velocity $v$" -- What is the orientation of the orbit wrt to the page?