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1. Electric Charges and Fields
medium
Three charges $q_1 = 1\,\mu c, q_2 = 2\,\mu c$ and $q_3 = -3\,\mu c$ and four surfaces $S_1, S_2 ,S_3$ and $S_4$ are shown in figure. The flux emerging through surface $S_2$ in $N-m^2/C$ is

A
$36\pi \times10^3$
B
$-36\pi \times10^3$
C
$36\pi \times10^9$
D
$-36\pi \times10^9$
Solution
$ \phi= \frac{\sum q_{\text {enclosed }}}{\epsilon_{0}} 4 \pi \mathrm{k\,} \Sigma q_{\text {enclosed }} $
$=4 \pi \times 9 \times 10^{3}(2-3) \times 10^{-6} $
$ \phi=-36 \pi \times 10^{3} \mathrm{\,N}-\mathrm{\,m}^{2} / \mathrm{c} $
Standard 12
Physics