Question $3$: A $\backslash (0\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash$times $0\mathrm{.}5\backslash$mathrm$\{$~m$\}\backslash )$ electric heating plate has its back side well$-$insulated. The heating plate is in still air at a temperature of $\backslash (28^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ If the plate is maintained at a constant temperature of $\backslash (98^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ determine the electric power required to supply the heating plate in W $.$

$3\mathrm{.}1$ If the heating plate is positioned vertically.

$3\mathrm{.}2$ If the heating plate is positioned horizontally with the hot surface facing upward.