The electric flux passing through the cube for the given arrangement of charges placed at the corners of the cube (as shown in the figure) is
$\phi = \frac{1}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{2{ \in _0}}}$
$\phi = \frac{{ - 1}}{{{ \in _0}}}$
$\phi = \frac{1}{{{ \in _0}}}$
The figure shows two situations in which a Gaussian cube sits in an electric field. The arrows and values indicate the directions and magnitudes (in $N-m^2/C$) of the electric fields. What is the net charge (in the two situations) inside the cube?
An electric field converges at the origin whose magnitude is given by the expression $E = 100\,r\,Nt/Coul$, where $r$ is the distance measured from the origin.
$q_1, q_2, q_3$ 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
In figure a point charge $+Q_1$ is at the centre of an imaginary spherical surface and another point charge $+Q_2$ is outside it. Point $P$ is on the surface of the sphere. Let ${\Phi _s}$be the net electric flux through the sphere and ${\vec E_p}$ be the electric field at point $P$ on the sphere. Which of the following statements is $TRUE$ ?
$(a)$ An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
$(b)$ Explain why two field lines never cross each other at any point?