Charged Right Circular Cylinder

Abstract

A paper with the above title appeared in this Journal in 1956 giving the charge distribution on, and capacitance of, an electrified right circular solid conducting cylinder for length‐to‐diameter ratios of 0.25 to 4. Much more accurate values, calculated for the range 0.125 to 8 on a digital computer, are tabulated in the present paper. Over this range the capacitance is given to 0.2% accuracy by the formula $${\text{C=[0.708+0.615(b/a)}}^{\text{0.76}}{\text{]×10}}^{\text{−10}}\mathrm{a\hspace{0.17em}}\mathrm{farads}$$ , where 2b is the length and a the radius. A spherical harmonic expansion for the potential outside the circumscribed sphere is given.