Capacitance Comparison for Spherical Shells and Solid Spheres

[theneedtoknow]

Would the capacitance of the system be the same if we had one spherical shell around another (radii a and b) , versus a solid sphere of radius a surrounded by shell of radius b? I mean...if the charge we add to the solid sphere distributes itself completely on the surface, isn't the inner solid sphere going to act exactly like a thin shell with the radius of the sphere?

 

[kuruman]

Yes it is.

 

[theneedtoknow]

Thank you :) And, is there another way to calculate the capacitance of such a system other than C=Q/V ?

 

[kuruman]

You can derive an expression for the capacitance. See
http://www.mwit.ac.th/~physicslab/hbase/electric/capsph.html