Solve Capacitance Problem: 3 Equal Conducting Spheres, Radius a

[deloitte]

Three equal conducting spheres A B and C of radius a are fixed at the
vertices of an equilateral triangle of side B where b > 2a. When A is
raised to potential V with B and C grounded, the charges on the spheres
are q on A and q' on B and C. if all three were to be raised to some
other potential V', what is the charge on them?


It sounds simple but I can't seem to get it. My first thought was to find the capacitance and coefficients of inductances (i.e. the 'C') by integrating from infinity for arbitrary charges on each sphere but I don't this is the way to go since the charge distribution on the spheres is not uniform. Can someone offer me a small hint as to how I can get started here?

 

[stunner5000pt]

well if they are all connected at the ends of single triangle arent they in series.. What can you say about the charge and the potential of capacitors in series?? Can you write an expression for those quantities?