A cylindrical capacitor is constructed using two coaxial cylinders, each having a length of 10 cm , and with radii of 4 mm and 8 mm . Calculate the capacitance.

Step-by-step solution

The capacitance of a cylindrical capacitor is given by the formula: C = 2 ₀ L (b/a) Given: Length L = 10 cm = 0.1 m Inner radius a = 4 mm Outer radius b = 8 mm Substituting the values into the formula: C = 2 ₀ (0.1) (8/4) Using 1 4 ₀ = 9 10^9 N m ^2/ C ^2 , we have 2 ₀ = 1 18 10^9 F/m . C = 0.1 18 10^9 2 Since 2 0.693 : C = 0.1 18 10^9 0.693 C = 0.1 12.474 10^9 8.01 10⁻¹² F C 8 pF