Gujarati
1. Electric Charges and Fields
medium

The electric flux for Gaussian surface A that enclose the charged particles in free space is (given $q_1$ = $-14\, nC$, $q_2$ = $78.85\, nC$, $q_3$ = $-56 \,nC$)

A

$10^3\,\,N{m^2}{C^{ - 1}}$

B

$10^3\,\,C{N^{-1}}{m^{ - 2}}$

C

$6.32 \times 10^3\,\,N{m^2}{C^{ - 1}}$

D

$6.32 \times 10^3\,\,C{N^{-1}}{m^{ - 2}}$

Solution

(a) Flux is due to charges enclosed per ${\varepsilon _0}$
 Total flux = $( – 14 + 78.85 – 56)\,nC/{\varepsilon _0}$
$ = 8.85 \times {10^{ – 9}}\,C \times \frac{{4\pi }}{{4\pi {\varepsilon _0}}} = 8.85 \times {10^{ – 9}} \times 9 \times {10^9} \times 4\pi $
$ = 1000.4\,N{m^2}/C$ i..e. $1000\,\,N{m^2}{C^{ – 1}}$

Standard 12
Physics

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