P$4\mathrm{.}8$ To get more practice in the use of the modified Bergeron$-$plot method, redo example $4\mathrm{.}7$ for a $25$ transmission line.

Example $4\mathrm{.}7$ As in the previous example, the left gate shown in figure $4\mathrm{.}17$b has an output characteristic given by $(4\mathrm{.}12)$ and $(4\mathrm{.}13).$ The right$-$hand gate has an input characteristic given by $(4\mathrm{.}14).$

The transmission line connecting the two gates has a characteristic impedance $Z_0=50.$ It is desired to determine the proper parallel termination $R_p$ needed, and then to verify the circuit behavior using a Bergeron plot.

In figure $4\mathrm{.}10$ it is seen that in the region between the two steady$-$state points the load characteristic of the right gate has an average resistance of approximately $110.$ It is decided to place a resistance $R_p=90$ in shunt

Figure $4\mathrm{.}18$ Load$-$line diagram for the problem in example $4\mathrm{.}6.$