$45.$ A time$-$varying current $\backslash ($ i $\backslash )$ is sent through a $\backslash (50\mathrm{.}0-\backslash$mathrm$\{$mH$\}\backslash )$ inductor from a source as shown in Figure P$31\mathrm{.}45$a$.$ The current is constant at $\backslash ($ i$=-1\mathrm{.}00\backslash$mathrm$\{$~mA$\}\backslash )$ until $\backslash ($ t$=0\backslash )$ and then varies with time afterward as shown in Figure P$31\mathrm{.}45$b$.$ Make a graph of the emf across the inductor as a function of time.

Figure P$31\mathrm{.}45$