The potential $V$ is varying with $x$ and $y$ as $V = \frac{1}{2}({y^2} - 4x)\,volts$ The field at $(1\,m,\,1\,m)$ is
$2\hat i\, + \,\hat j\,\,V/m$
$-\,2\hat i\, + \,\hat j\,\,V/m$
$2\hat i\, - \,\hat j\,\,V/m$
$-\,2\hat i\, + \,2\hat j\,\,V/m$
In the figure shown, the potential difference between points $A$ and $B$ is......$V$
Electric field inside a uniformly charged sphere of radius $R,$ is ($r$ is distance from centre, $r < R$)
When a proton is accelerated through $1\,V,$ then its kinetic energy will be........$eV$
In infinite long uniformly charged string is placed along $z-$ axis. Its linear charge density is $\lambda $. A point charge $q$ is moved from position $(a, 0, 0)$ to $(2a, 0, 0)$ then work done will be
Four metallic plates, each with a surface area of one side $A$, are placed at a distance $d$ from each other. The plates are connected as shown in the figure. The capacitance of the system between $a$ and $b$ is