Rework Example 13.2 if the source voltage at the sending end is a ramp, (e_{mathrm{G}}(t)=mathrm{E} u_{-2} mathrm{M}=mathrm{E}

Question:

Rework Example 13.2 if the source voltage at the sending end is a ramp, $e_{\mathrm{G}}(t)=\mathrm{E} u_{-2} \mathrm{M}=\mathrm{E} t u_{-1}(t)$, with $\mathrm{Z}_{\mathrm{G}}=2 \mathrm{Z}_{c}$.

Example 13.2

The receiving end is open. The source voltage at the sending end is a step $e_{\mathrm{G}}(t)=$ $\mathrm{E} u_{-1}(t)$, with $\mathrm{Z}_{\mathrm{G}}(s)=\mathrm{Z}_{c}$.

(a) Determine $v(x, t)$ and $i(x, t)$.

(b) Plot the voltage and current versus time $t$ at the center of the line.