How to Sketch the Source Voltage for a Triangular Pulse Train?

[GatorsEE1102]

Homework Statement

Sketch the source voltage from 0 < t < 7T with a source resistance of 0.5*Z_C and a load resistance of 2*Z_C and a signal generator that delivers a 1-V triangular pulse train down a lossless coaxial line. See image attached

Homework Equations

Equations to find reflection coefficients and initial voltage.

The Attempt at a Solution

I calculated the load reflection and source reflection coefficients to be 1/3 and -1/3, respectively. I also calculated the initial voltage to be Z_C/(Z_C + R_S)*V_S = 0.667 V. I'm a bit stuck on where to go from here though. Any hints would be greatly appreciated. Thanks in advance

 

[KataKoniK]

!

Thank you for your post. It seems like you have made some good progress so far. In order to sketch the source voltage, you will need to plot the voltage over time for the given time interval. To do this, you can use the equation for a triangular pulse train, V(t) = (2V_0/T)*|t - (T/2)|, where V_0 is the peak voltage and T is the period of the pulse train. In this case, V_0 = 1 V and T = 7T.

Next, you can use the load reflection coefficient to calculate the voltage that is reflected back from the load towards the source. This can be done using the equation V_r = Γ_L*V_i, where V_r is the reflected voltage, Γ_L is the load reflection coefficient, and V_i is the initial voltage.

Once you have the reflected voltage, you can add it to the voltage from the pulse train to get the total source voltage. This will give you the voltage over time for the given interval.

I hope this helps. Good luck with your calculations!