# Connected and disconnected conductors spheres

I have an exercise in which I have the following situation: there are two conductors spheres (far apart) both of a given radius (R1, R2=2R1). The lesser sphere has a positive charge q and the other shpere is chargeless. The two spheres are connected with a thin cable and then disconnected.

Now I have to establish the final charges q1 and q2 and the final potentials V1 and V2.

That's what I thought: when they are connected they stay at the same V so I can write: $$k*Q1/R1 = k*Q2/R2 \ \ \ \ where \ Q1+Q2=q$$ and using this I can establish Q1 and Q2. But what exactly happen when I disconnect them? Do they just stay at the same V, with the charges they were having while connected, or do they have a different behavior?

Thank you in advance for the help.