1. Electric Charges and Fields
easy

$9.0\, cm$ ની ધારવાળા એક ઘનાકાર ગોસિયન સપાટીના કેન્દ્ર પર $2.0\; \mu \,C$ વિદ્યુતભાર રહેલો છે. આ સપાટીમાંથી કુલ વિદ્યુત ફલક્સ કેટલું હશે? 

A

$4.166 \times 10^{6} \;N \;m ^{2} C ^{-1}$

B

$7.24 \times 10^{4} \;N \;m ^{2} C ^{-1}$

C

$8.34 \times 10^{5} \;N \;m ^{2} C ^{-1}$

D

$2.26 \times 10^{5} \;N \;m ^{2} C ^{-1}$

Solution

Net electric flux ( $\phi_{\text {Net }}$ ) through the cubic surface is given by

$\phi_{N e t}=\frac{q}{\varepsilon_{0}}$

Where, $\varepsilon_{0}=$ Permittivity of free space $=8.854 \times 10^{-12}\, N ^{-1} \,C ^{2}\, m ^{-2}$

$q =$ Net charge contained inside the cube $=2.0\, \mu \,C =2 \times 10^{-6} \,C$

$=2.26 \times 10^{5} \,N \,m ^{2} \,C ^{-1}$

$\therefore \phi_{N e t}=\frac{2 \times 10^{-6}}{8.854 \times 10^{-12}}$

The net electric flux through the surface is $2.26 \times 10^{5} \;N \;m ^{2} \,C ^{-1}$

Standard 12
Physics

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