A current sheet, K$=2\mathrm{.}4$az$$A$/$mK $=2\mathrm{.}4$ a$\_$z $\backslash ,\backslash$text$\{$A$/$m$\}$K$=2\mathrm{.}4$az$$A$/$m$,$ is present at the surface $=1\mathrm{.}2\backslash$rho $=1\mathrm{.}2$$=1\mathrm{.}2$ in free space.

$($a$)$ Find HHH for $>1\mathrm{.}2\backslash$rho $>1\mathrm{.}2$$>1\mathrm{.}2.$

Find VmV$\_$mVm$$ at P$($$=1\mathrm{.}5,=0\mathrm{.}6$$,$z$=1)$P$(\backslash$rho $=1\mathrm{.}5,\backslash$phi $=0\mathrm{.}6\backslash$pi$,$ z $=1)$P$($$=1\mathrm{.}5,=0\mathrm{.}6$$,$z$=1)$ if:

$($b$)$ Vm$=0$V$\_$m $=0$Vm$=0$ at $=0\backslash$phi $=0=0$ and there is a barrier at $=$$\backslash$phi $=\backslash$pi$=$;

$($c$)$ Vm$=0$V$\_$m $=0$Vm$=0$ at $=0\backslash$phi $=0=0$ and there is a barrier at $=$$/2\backslash$phi $=\backslash$pi$/2=$$/2$;

$($d$)$ Vm$=0$V$\_$m $=0$Vm$=0$ at $=$$\backslash$phi $=\backslash$pi$=$ and there is a barrier at $=0\backslash$phi $=0=0$;

$($e$)$ Vm$=5$VV$\_$m $=5\backslash ,\backslash$text$\{$V$\}$Vm$=5$V at $=$$\backslash$phi $=\backslash$pi$=$ and there is a barrier at $=0\mathrm{.}8$$\backslash$phi $=0\mathrm{.}8\backslash$pi$=0\mathrm{.}8$$.$