Determine the electrical capacity of a solitary conducting ball with a diameter of 3.0 cm

Determine the electrical capacity of a solitary conducting ball with a diameter of 3.0 cm in air, write the answer in farads, microfarads and picofarads.

The electrical capacity of a solitary charge is determined by the formula:
C = 4 π * έ * έ0 * R where C is the capacitance, έ is the dielectric constant of the medium (for air
έ = 1), έ is the electric constant, R is the radius. Then we get:
C = 4 * π * 8.854 10 ^ -12 * 0.03 = 3.34 * 10 ^ -12 F = 3.34 * 10 ^ -6 μF = 3.34 pF.