A point charge of - 2-0- C- is at the centre of a cubic Gaussian nbsp-surface - 9-0 cm- on edge- What is the net electric flux through the nbsp-surface-

Net electric flux (ϕ_Net) #160;through #160; cubic surface is, ϕ_Net=q∈_0 ∈_0 =8.854× 10^ 12N^ 1C^2m^ 2 q = Net charge contained inside ...

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Standard XII

Physics

Electric Field

A point charg...

Question

A point charge of $2.0 μ C$ is at the centre of a cubic Gaussian surface $9.0 c m$ on edge. What is the net electric flux through the surface?

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Solution

Net electric flux $(ϕ_{N e t})$ through cubic surface is,
$ϕ_{N e t} = \frac{q}{\in_{0}}$

$\in_{0}$ $= 8.854 \times 10^{- 12} N^{- 1} C^{2} m^{- 2}$
q = Net charge contained inside the cube $= 2.0 μ C = 2 \times 10^{- 6}$
$∴ ϕ_{N e t} = \frac{2 \times 10^{- 6}}{8.854 \times 10^{- 12}}$
$= 2.26 \times 10^{5} N m^{2} C^{- 1}$
The net electric flux through the surface is $2.26 \times 10^{5} N m^{2} C^{- 1}$ .

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A point charge of 2.0μC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?

Net electric flux (ϕNet) through cubic surface is,ϕNet=q∈0∈0 =8.854×10−12N−1C2m−2q = Net charge contained inside the cube =2.0μC=2×10−6∴ϕNet=2×10−68.854×10−12 =2.26×105Nm2C−1The net electric flux through the surface is 2.26×105Nm2C−1.

A point charge of $2.0 μ C$ is at the centre of a cubic Gaussian surface $9.0 c m$ on edge. What is the net electric flux through the surface?