The electric potential $V$ at any point $(x, y, z)$ (all in $metres$ ) in space is given by $V = 4x^2\, volt$. The electric field at the point $(1\, m, 0, 2\, m)$ in $volt/metre$ is

Two charges $+q$ and $-3q$ are placed on $x-$ axis separated by a distance $d$. ($-3q$ is right of $q$) Where should a third charge $2q$ be placed such that it will not experience any force ?

A square plate of side $'a'$ is placed in $xy$ plane having centre at origin if charge density of square plate is $\sigma = xy$ then. Total charge on the plate will be.

Two condensers $C_1$ and $C_2$ in a circuit are joined as shown in figure. The potential of point $A$ is $V_1$ and that of $B$ is $V_2$. The potential of point $D$ will be

Find flux related to shaded face $BCGF$