Capacitance of a spherical capacitor having radius 1m
Answers
Consider a Spherical conductor . Mark its center as o and radius r. Give some positive charge say q to charge the conductor. When we will give the charge to the conductor it will start spreading equally over its outer surface. Charge spreading does not depend upon the type of conductor used. You can take hollow as well as solid conductor. Charge spreading will be same. If the charge spreading will be uniform then the potential will be also uniform.
In the above equation Capacitance C is in farads. Eo is permittivity of free space ( a constant) which is equal to 8.854 x 10^-12
Back to your question, assuming the capacitor mentioned is an isolated sphere, r can be solved by applying the formula.
r = (1 x 10^-6)/(4)(3.14156)(8.854 x 10^-12)
r = 8987.552 m
Capacitance of a spherical conductor is given by
C = 4πεor
where r = radius of spherical conductor
C = 4πεo = 1/(9x109) = 1.1 x 10-10 F