For one of my lab reports on transmission lines, im required to derive the equation for the reflected waveform when there is a capacitive termination.

So what is in the above figure, except a capacitor instead of a resistor.

The question asks to show that the reflected voltage at the load end is:

Here is my attempt at the solution:

Firstly:

Then the equation for a capacitor can be sub'ed in:

And then given that I+=\[\frac{V^{+}}{Z_{0}}\] and I-=\[\frac{-V^{-}}{Z_{0}}\]

it becomes:

then:

\[V^{+}-V^{-}\] =