Gujarati
1. Electric Charges and Fields
medium

The inward and outward electric flux for a closed surface in units of $N{\rm{ - }}{m^2}/C$ are respectively $8 \times {10^3}$ and $4 \times {10^3}.$ Then the total charge inside the surface is [where ${\varepsilon _0} = $ permittivity constant]

A

$4 \times {10^3}$ $C$

B

$ - 4 \times {10^3}$ $C$

C

$\frac{{( - 4 \times {{10}^3})}}{\varepsilon }$ $C$

D

$ - 4 \times {10^3}{\varepsilon _0}$ $C$

Solution

(d) By Gauss’s law $\varphi = \frac{1}{{{\varepsilon _0}}}$ (Qenclosed)
$==>$ ${Q_{enclosed}} = \varphi {\varepsilon _0} = ( – 8 \times {10^3} + 4 \times {10^3}){\varepsilon _0}$
$ = – 4\; \times \;{10^3}{\varepsilon _0}$ Coulomb.

Standard 12
Physics

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