A charge \[Q\] is placed at a distance \[a/2\] above the centre of the square surface of edge \[a\] as shown in the figure. |
The electric flux through the square surface is: [JEE Online 15-04-2018] |
A) \[\frac{Q}{3{{\in }_{0}}}\]
B) \[\frac{Q}{6{{\in }_{0}}}\]
C) \[\frac{Q}{2{{\in }_{0}}}\]
D) \[\frac{Q}{{{\in }_{0}}}\]
Correct Answer: B
Solution :
[b] Draw an imaginary square enclosing that point charge at the centre. |
Then from gauss law,\[\phi =\frac{{{Q}_{in}}}{{{\in }_{o}}}\] |
This is the flux passing through all the six surfaces. |
Therefore through one surface, \[\frac{1}{6}th\] of this flux will pass. |
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