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Figure above shows a closed Gaussian sur...

Figure above shows a closed Gaussian surface in the space of a cube of edge length 3.0m. There exists an electric field given by `vec E= [(2.0x+4.0)i +8.0j +3.0k]N//C`, where x is in metres, in the region in which it lies. The net charge in coulumbs enclosed by the cube is equal to

A

`-54 in_(0)`

B

`6 in_(0)`

C

`-6 in_(0)`

D

`54 in_(0)`

Text Solution

Verified by Experts

The correct Answer is:
D
`phi=intvec(E).dvec(s)`
Direction of field at x=-3m is along negative x axis. Area vector is alos along same direction.
`phi=6xx9=Q/(in_(0))`
`Q=54 in_(0)`
Components of electric field which are constant. Do not contribute in net flux in or out.
`q_("in")/(in_(0))=54rArr q_("in")=54 in_(0)`
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