c$)$ An infinite line located at $y=-2,z=-2$ carries current $I=10mA$ in $a_x$ direction. The direction of $H$ at $P(2,-2,0)$ is:

i$.a_x$

ii$.-a_x$

iii. $a_y$

iv$.-a_y$

v$.a_z$

vi$.-a_z$

vii. $\frac{a_x+a_y}{\sqrt[\phantom{2}]{2}}$

viii. $\frac{-a_x-a_y}{\sqrt[\phantom{2}]{2}}$

ix$.\frac{a_x+a_y+a_z}{\sqrt[\phantom{2}]{3}}$

x$.\frac{a_x+a_y-a_z}{\sqrt[\phantom{2}]{3}}$

d$)$ Plane $x+y-z=2$ carries charge of density $20n\frac{C}{m^2}.$ The direction of $E$ at $P(0,0,-5)$ is:

i$.a_x$

ii$.-a_x$

iii. $a_y$

iv$.-a_y$

v$.a_z$

vi$.-a_z$

vii. $\frac{(1,1,-1)}{\sqrt[\phantom{2}]{3}}$

viii. $\frac{(-1,-1,1)}{\sqrt[\phantom{2}]{3}}$

e$)$ An electric dipole with $p=5a_{x}nC.m$ is located at the origin, and the potential reference is taken at infinity. The potential difference $V_{AB}=V_B-V_A$ between points $A(2,3,4)$ and $B(-2,3,4)$ is:

i$.V_{AB}=V_B$

ii$.V_{AB}=-V_A$

iii. $V_{AB}=-V_B$

iv$.V_{AB}=0$

v$.V_{AB}>0$

vi$.V_{AB}<mn>0</mn>$

f$)$ A positive surface charge is uniformly distributed on the surface $r=5.$ The potential difference $V_{AB}=V_B-V_A$ between points $A(3,0,0)$ and $B(3,4,0)$ is

i$.V_{AB}>0$

ii$.V_{AB}<mn>0</mn>$

iii. $V_{AB}=0$

$\frac{3}{12}$