Q.

The volume charge density of a sphere of radius 6 m is 2 μC cm3. The number of lines of force per unit surface area coming out from the surface of the sphere is ______ ×1010 NC1. [Given : Permittivity of vacuum 0=8.85×1012C2N1m2 ]

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answer is 45.

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Detailed Solution

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Number of lines of force per unit surface is nothing but Electric field at that point

E=ρr3ϵ0, for r=R

E=ρR3ϵ0=2×63×8.85×10-12=0.45×1012NC-1

=45×1010 N/C

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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 ______ ×1010 NC−1. [Given : Permittivity of vacuum ∈0=8.85×10−12C2N−1−m−2 ]