P$6\mathrm{.}5$ In example $6\mathrm{.}3,(6\mathrm{.}12)$ was used to verify that ideal diode $D_L$ was reverse biased following the gate output transition. Show that this conclusion would not have been contradicted had $(6\mathrm{.}11)$ been used by mistake in this case.

Example $6\mathrm{.}3$ The same data as in example $6\mathrm{.}1$ but in this case the value of $R_T$ used for a parallel termination is $100.$ This value is well above the upper bound of $(6\mathrm{.}14),$ so we can expect diode $D_L$ to be reverse biased immediately after the output$-$gate voltage$-$transition. As in the previous examples, we use $(6\mathrm{.}9)$ and $(6\mathrm{.}10)$ to obtain

$I_{OH}=I(0+)=10\mathrm{.}85mA$

$V_{OH}=V(0+)=-0\mathrm{.}915V$

Since $D_L$ is very likely to be initially reverse biased, we use $(6\mathrm{.}12)$ to find

$V_S=V_{OL}=-1\mathrm{.}458V>-1\mathrm{.}67V=E_{OL}$