The volume charge density of a sphere of radius 6 m is 2 μC cm - 3 . The number of lines of force per unit surface area coming out from the surface of the sphere is _____ × 10 10 N C - 1 . [Given : Permittivity of vacuum ϵ 0 = 8 . 85 × 10 - 12 C 2 N - 1 - m - 2 ]

Step-by-step solution

Given here, ρ = 2   μC   cm - 3 and R = 6   m . Number of lines of force per unit area = electric field at surface = K Q R 2 E = 1 4 π ε 0 ρ 4 3 π R 3 R 2 E = ρ R 3 ϵ 0 = 2 × 6 3 × 8 . 85 × 10 - 12 = 0 . 45 × 10 12   N   C - 1 = 45 × 10 10   N   C - 1