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A point charge +20muC is at a distance 6...

A point charge `+20muC is at a distance 6 cm directly above the centre of a square of side 12 cm as shown is figure. The magnitude of electric flux through the square is

A

`2.5xx10^(6)Nm^(2)C^(-1)`

B

`3.8xx10^(5)Nm^(2)C^(-1)`

C

`4.2xx10^(5)Nm^(2)C^(-1)`

D

`2.9xx10^(6)Nm^(2)C^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
From figure, it is clear that square ABCD is one of the six faces of a cube of side 12 cm.
By Gauss's theorem, total electric flux through all the six faces of the cube = `q/epsilon_(0)`
`therefore" "` Electric flux through the square
`phi=1/6q/epsilon_(0)=1/6xx(20xx10^(-6))/(8.85xx10^(-12))=3.8xx10^(5)Nm^(2)C^(-1)`
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