Figure shows electric field lines due to a charge configuration, from this we conclude that
$q_1$ and $q_2$ are positive and $q_2 > q_1$
$q_1$ and $q_2$ are positive and $q_1 > q_2$
$q_1$ and $q_2$ are negative and $\left|q_1\right| > \left|q_2\right|$
$q_1$ and $q_2$ are negative and $\left|q_2\right| > \left|q_1\right|$
A positive charge $q$ is kept at the center of a thick shell of inner radius $R_1$ and outer radius $R_2$ which is made up of conducting material. If $\phi_1$ is flux through closed gaussian surface $S_1$ whose radius is just less than $R_1$ and $\phi_2$ is flux through closed gaussian surface $S_2$ whose radius is just greater than $R_1$ then:-
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 side $l$ is placed in a uniform field $E$, where $E = E\hat i$. The net electric flux through the cube is
If $\oint_s \vec{E} \cdot \overrightarrow{d S}=0$ over a surface, then:
A charged particle $q$ is placed at the centre $O$ of cube of length $L$ $(A\,B\,C\,D\,E\,F\,G\,H)$. Another same charge $q$ is placed at a distance $L$ from $O$.Then the electric flux through $BGFC$ is