The potentials of three concentric spherical conductors of radii a,b,c such that a<b<c are held at the values $\displaystyle \phi=0,V, 0. $

Solve the potential problem by assuming $\displaystyle \phi=A+\frac{B}{r} \ \ \ \ and \ \ \ \phi= C+\frac{D}{r}$ for a<r<b and b<r<c.

and continuity at r=b.

Calculate the total charge on the conductor of radius b .

and capacitance of the system.