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Physics
The total electric flux through a cube when a charge 8q is placed at one corner of the cube is
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Q. The total electric flux through a cube when a charge 8q is placed at one corner of the cube is
KEAM
KEAM 2009
Electric Charges and Fields
A
$ \varepsilon_0 q $
5%
B
$ \frac{ \varepsilon_0 }{ q} $
10%
C
$ 4 \pi \varepsilon_0 $
21%
D
$ \frac{ q}{ 4 \pi \varepsilon_0 }$
14%
E
$ \frac{ q}{\varepsilon_0 } $
14%
Solution:
Given, $Q=8 q$ (at corner of cube)
since, $\phi$ cat corner of cube) $=Q / 8 \epsilon_{0}$
$\phi=\frac{8 q}{8 \epsilon_{0}} $
$\Rightarrow \phi=q / \varepsilon_{0}$