A cubical region of side a has its centre at the origin. It encloses three fixed point charges, -q
at (0, -a/4, 0), +3q at (0, 0, 0) and -q at (0, +a/4 ,0). Choose the correct option(s):

The net electric flux crossing the plane x = +a/2 is equal to the net electric flux crossing the plane x = -a/2
The net electric crossing the plane y = +a/2 is more than the net electric flux crossing the plane y = -a/2
The net electric flux crossing the entire region is $\frac{q}{ε_{o}}$
The net electric flux crossing the piane z = +a/ 2 is equal to the riet electric flux crossing the piane x = +a/2

Question

A cubical region of side a has its centre at the origin. It encloses three fixed point charges, -q
at (0, -a/4, 0), +3q at (0, 0, 0) and -q at (0, +a/4 ,0). Choose the correct option(s):

The net electric flux crossing the plane x = +a/2 is equal to the net electric flux crossing the plane x = -a/2
The net electric crossing the plane y = +a/2 is more than the net electric flux crossing the plane y = -a/2
The net electric flux crossing the entire region is $\frac{q}{ε_{o}}$
The net electric flux crossing the piane z = +a/ 2 is equal to the riet electric flux crossing the piane x = +a/2

Toppr Admin · Accepted Answer

Net -xA0-flux -xA0-through -xA0-cube- -x2212-q-3q-x2212-q-x3F5-o-q-x3F5-oDue -xA0-to -xA0-the -xA0-same -xA0-area -xA0-flux -xA0-passing -xA0-through x-x2212-a2-y-a2 and z-a2 is -xA0-same

Net flux through cube= −q+3q−qϵo=qϵoDue to the same area flux passing through x=−a2,y=a2 and z=a2 is same

$Net flux through cube$ = $\frac{- q + 3 q - q}{ϵ_{o}} = \frac{q}{ϵ_{o}}$
$Due to the same area flux passing through$ $x = \frac{- a}{2}, y = \frac{a}{2}$ $a n d$ $z = \frac{a}{2}$ $is same$