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 _____ $\times 10^{10} N C^{- 1} .$
[Given : Permittivity of vacuum $ϵ_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} - m^{- 2}$ ]

Question

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 _____ $\times 10^{10} N C^{- 1} .$

[Given : Permittivity of vacuum $ϵ_{0} = 8.85 \times 10^{- 12} C^{2} N^{- 1} - m^{- 2}$ ]

Aicharya · Accepted Answer

Given here, &#961; = 2 &#160; &#956;C &#160; cm - 3 and R = 6 &#160; m . Number of lines of force per unit area = electric field at surface = K Q R 2 E = 1 4 &#960; &#949; 0 &#961; 4 3 &#960; R 3 R 2 E = &#961; R 3 &#1013; 0 = 2 &#215; 6 3 &#215; 8 . 85 &#215; 10 - 12 = 0 . 45 &#215; 10 12 &#160; N &#160; C - 1 = 45 &#215; 10 10 &#160; N &#160; C - 1

The volume charge density of a sphere of radius 6   m is 2   μC   cm - 3 . The number of…

Solution

The volume charge density of a sphere of radius 6 &#160; m is 2 &#160; &#956;C &#160; cm - 3 . The number of…

Solution

The volume charge density of a sphere of radius 6 m is 2 μC cm - 3 . The number of…