A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. (a) Show that the capacitance is ab k(b-a) when the space between the inner and outer spheres is empty. Start with our result from Gauss's law for the field outside a spherical charge distribution - you do not have to re-derive that, but please DO derive the potential difference between the spheres.

A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. (a) Show that the capacitance is ab k(b-a) when the space between the inner and outer spheres is empty. Start with our result from Gauss's law for the field outside a spherical charge distribution - you do not have to re-derive that, but please DO derive the potential difference between the spheres.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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