If the circumference of a sphere is 3 m, then the capacitance of the sphere in water is (dielectric constant of water = 80)

Step-by-step solution

Dielectric constant of water, k = 80 Capacitance of a sphere of radius R is given by C=4 ₀ R Circumference of sphere, L = 3m aligned & Radius of sphere, R= L 2 & = 3 2 m aligned Capacitance, C=4 ₀ 3 2 =6 ₀ ~F Capacitance of sphere in water, aligned C^ & =C k & =80 6 ₀ & =480 ₀ & =480 8.854 10⁻¹² ~F & =4249.92 10⁻¹² ~F & 4250 pF aligned