Two conducting spberes of radi`iR_1 and R_2` are kept widely separated from each other . What are their individual capacitances? If the spheres are connected by a meral wire , what will be the capacitances of the combination ? Think in terms of seies-parallel connections.

Explanation

Capacitance of sphere of radii R_1 and R_2 is
`C_1 = 4 pie eplison_0 R_1`
`C_2 = 4 pie eplison_0 R_2`
Capacitance of combination `= C_1 + C_2`
`= 4 pie eplision_0 (R_1 + R_2)`