$q_1, q_2, q_3$ and $q_4$ are point charges located at point as shown in the figure and $S$ is a spherical Gaussian surface of radius $R$. Which of the following is true according to the Gauss's law
$\oint\limits_s {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right).d\overrightarrow A = \frac{{{q_1} + {q_2} + {q_3}}}{{2\,{ \in _0}}}}$
$\oint\limits_s {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right).d\overrightarrow A = \frac{{{q_1} + {q_2} + {q_3}}}{{{ \in _0}}}} $
$\oint\limits_s {\left( {{{\vec E}_1} + {{\vec E}_2} + {{\vec E}_3}} \right).d\overrightarrow A = \frac{{{q_1} + {q_2} + {q_3} + {q_4}}}{{{ \in _0}}}} $
None of the above
Write $SI$ unit of electric flux.
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
If a charge $q$ is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through the flat surface would be
Assertion : Four point charges $q_1,$ $q_2$, $q_3$ and $q_4$ are as shown in figure. The flux over the shown Gaussian surface depends only on charges $q_1$ and $q_2$.
Reason : Electric field at all points on Gaussian surface depends only on charges $q_1$ and $q_2$ .
A charge $Q$ is fixed at a distance $d$ in front of an infinite metal plate. The lines of force are represented by