Referring to the single-phase two-wire lossless line shown in Figure 13.3, the receiving end is terminated by

Question:

Referring to the single-phase two-wire lossless line shown in Figure 13.3, the receiving end is terminated by an inductor with $2 \mathrm{~L}_{\mathrm{R}}$ henries. The source voltage at the sending end is a step, $e_{\mathrm{G}}(t)=\mathrm{E} u_{-1}(t)$ with $\mathrm{Z}_{\mathrm{G}}=Z_{c}$. Both the line and inductor are initially unenergized. Determine and plot the voltage at the center of the line $v(l / 2, t)$ versus time $t$.

Figure 13.3