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Question

Physics Question on Electrostatic potential

The volume charge density of a sphere of radius 6 m is 2μC cm-3. The number of lines of force per unit surface area coming out from the surface of the sphere is _______ × 1010 NC-1.

Answer

The number of lines of force per unit surface is nothing but an Electric field at that point
E=ρr3\frac{r}{3}ϵ0, for r=R
E=ρR3\frac{R}{3}ϵ0=2×63\frac{6}{3}×8.85×10-12=0.45×1012 NC-1
=45×1010 N/C