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?