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Numerical
A point charge of 2.0 μC is at the centre of a cubic Gaussian surface 9.0 cm on edge. What is the net electric flux through the surface?
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Solution
Net electric flux (ΦNet) through the cubic surface is given by,
`phi_"Net" = "q"/in_0`
Where,
∈0 = Permittivity of free space
= 8.854 × 10−12 N−1 C2 m−2
q = Net charge contained inside the cube = 2.0 μC = 2 × 10−6 C
∴ `phi_"Net" = (2 xx 10^-6)/(8.854 xx 10^-12)`
= 2.26 × 105 N m2 C−1
The net electric flux through the surface is 2.26 × 105 N m2 C−1.
Concept: Electric Flux
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