# Equivalent capacitance of a system of 2 spheres

Tags:
1. May 16, 2017

### randomgamernerd

1. The problem statement, all variables and given/known data: Two conducting spheres of radii R1 and R2 are kept widely separated from each other. what are their individual capacitances? If the spheres are connected by a metal wire, what will be the capacitance of the combiation?

2. Relevant equations
Capacitance of a sphere of radius R is 4π εoR

3. The attempt at a solution: from the equation above,we get capacitance of each sphere. I have no issue with that. For the next part, I think the spheres are connected in series because they are connected by a single wire. But from the answer given in the text,it seems the spheres are connected in parallel. Can anyone please clarify in which combination they are connected?
No other information is mentioned in the text.

2. May 16, 2017

### Staff: Mentor

When they are connected by the wire, will they be at different potentials (like series connected capacitors) or share the same potential (like parallel connected capacitors)?

3. May 16, 2017

### randomgamernerd

I think charges will flow till both reach the same potential

4. May 16, 2017

### randomgamernerd

ok..yeah right..they will have same potenial...so they are connected in parallel..ok i got it...thanks @gneill