here are complete notes on spherical capacitor.
capacitance of spherical capacitor
A spherical capacitor consists of a solid or hollow spherical conductor of radius a , surrounded by another hollow concentric spherical of radius b shown below in figure
if Va is the potential on inner shell, Vb is the potential of outer shell then
| Va=Kq/a Vb=Kq/b resultant potential V=Va-vb V=Kq[1/a-1/b] V=Kq[b-a]/ab But we know that C=q/V so C=q/Kq[b-a]/ab C=ab/K[b-a] Put K= 1/ 4 π ϵ o C= 4 π ϵ o[ab/(b-a)] |
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