Draw electric field lines of simple charge distribution.
The picture of field lines was invented by Faraday to develop an way to visualizing electric fields around charged configurations. Faraday called them lines of force.
Figures show the field lines around some simple charge configurations. As mentioned earlier, the field lines are in $3$-dimensional space, though the figure shows them only in a plane.
Electric field lines for positive charge are shown in figure $(a)$. Electric field lines for negative charge are shown in figure $(b)$. Electric field lines for dipole are shown in figure $(c)$. For information :
$(a)$ Electric field lines for two negative charges :
$(b)$ Electric field lines for uniform electric fields :
$(c)$ Electric field lines on metallic sphere in uniform electric field :
Given below are two statement: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A:$ If an electric dipole of dipole moment $30 \times 10^{-5}\,Cm$ is enclosed by a closed surface, the net flux coming out of the surface will be zero.
Reason $R$ : Electric dipole consists of two equal and opposite charges.
In the light of above, statements, choose the correct answer from the options given below:
It is not convenient to use a spherical Gaussian surface to find the electric field due to an electric dipole using Gauss’s theorem because
The given figure gives electric lines of force due to two charges $q_1$ and $q_2$. What are the signs of the two charges?
In $1959$ Lyttleton and Bondi suggested that the expansion of the Universe could be explained if matter carried a net charge. Suppose that the Universe is made up of hydrogen atoms with a number density $N$, which is maintained a constant. Let the charge on the proton be :
${e_p}{\rm{ }} = - {\rm{ }}\left( {1{\rm{ }} + {\rm{ }}y} \right)e$ where $\mathrm{e}$ is the electronic charge.
$(a)$ Find the critical value of $y$ such that expansion may start.
$(b)$ Show that the velocity of expansion is proportional to the distance from the centre.
A cube of a metal is given a positive charge $Q$. For the above system, which of the following statements is true