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
$2\hat i\, + \,\hat j\,\,V/m$
$-\,2\hat i\, + \,\hat j\,\,V/m$
$2\hat i\, - \,\hat j\,\,V/m$
$-\,2\hat i\, + \,2\hat j\,\,V/m$
What is the effective capacitance between points $X$ and $Y$ ?......$\mu F$
Find flux related to shaded face $BCGF$
Electric flux through surface $s_1$ :-
In a particle accelerator, a current of $500 \,\mu A$ is carried by a proton beam in which each proton has a speed of $3 \times 10^7 \,m / s$. The cross-sectional area of the beam is $1.50 \,mm ^2$. The charge density in this beam (in $C / m ^3$ ) is close to
Consider a cube of uniform charge density $\rho$. The ratio of electrostatic potential at the centre of the cube to that at one of the corners of the cube is