The conducting spherical shells shown in the figure are connected by a conductor. The capacitance of the system is
$4\pi {\varepsilon _0}\,\frac{{ab}}{{b - a}}$
$4\pi {\varepsilon _0}\,a$
$4\pi {\varepsilon _0}\,b$
$4\pi {\varepsilon _0}\,\frac{{{a^2}}}{{b - a}}$
A charge $2\,\mu C$ is taken from infinity to a point in an electric field, without changing its velocity. If work done against forces is $20\,\mu J$ then potential at that point will be.....$V$
Two identical small spheres carry charge of $Q_1$ and $Q_2$ with $Q_1>>Q_2.$ The charges are $d$ distance apart. The force they exert on one another is $F_1.$ The spheres are made to touch one another and then separated to distance $d$ apart. The force they exert on one another now is $F_2.$ Then $F_1/F_2$ is
Electric flux through surface $s_1$ :-
Find flux related to shaded face $BCGF$
Assertion : The positive charge particle is placed in front of a spherical uncharged conductor. The number of lines of forces terminating on the sphere will be more than those emerging from it.
Reason : The surface charge density at a point on the sphere nearest to the point charge will be negative and maximum in magnitude compared to other points on the sphere