A cylindrical capacitor is built using two coaxial cylinders, each having a length of 10 cm , and with radii of 2 mm and 4 mm . Determine the capacitance.

Step-by-step solution

The capacitance of a cylindrical capacitor is given by: C = 2 ₀ L ( b a ) Given L = 10 cm = 0.1 m , a = 2 mm , and b = 4 mm . Substituting the values: C = 0.1 (18 10^9 ) ( 4 2 ) C = 0.1 18 10^9 2 Using 2 0.693 : C = 0.1 18 10^9 0.693 C = 0.1 12.474 10^9 C 8.01 10⁻¹² F 8 pF