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  • The volume charge density of a sphere of radius <img alt="\mathrm{6 \mathrm{~m}\: \: is \: \: 2\: \: \mu\: \: \mathrm{C} \: \: \mathrm{cm}{ }^{-3}}" src="/latex-image/?%5Cmathrm%7B6%20%5Cmathrm%7B%

The volume charge density of a sphere of radius \mathrm{6 \mathrm{~m}\: \: is \: \: 2\: \: \mu\: \: \mathrm{C} \: \: \mathrm{cm}{ }^{-3}}. The number of lines of force per unit surface area coming out from the surface of the sphere is _____________\times 10^{10} \mathrm{NC}^{-1}.
[Given : Permittivity of vacuum \epsilon_{0}=8.85 \times 10^{-12} \mathrm{C}^{2} \mathrm{~N}^{-1}-\mathrm{m}^{-2})

Option: 1

45


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{S=\frac{Q}{V}=2 \frac{\mu c}{(c m)^3}=2\frac{ c}{m^3}}
The number of lines of force per unit surface area coming out from the surface of the sphere is

\mathrm{E =\frac{S R}{3 \varepsilon _0} }

   \mathrm{=\frac{2 \times 6}{3 \times 8.85 \times 10^{-12}} }

    \mathrm{=\frac{4}{8.85} \times 10^{12} }

\mathrm{E =45 \times 10^{10} \mathrm{~N} / \mathrm{C}}



 

Posted by

Ritika Harsh

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