The twobranch transmissionline circuit is excited with a ste

The two-branch transmission-line circuit is excited with a step voltage at t = 0. Bounce diagrams for the voltage on each line are also shown. Assume that the length and phase velocity on each line is the same. Determine V_g, Z₀₂, R, V_a, V_b, V_c, V_d, V, the steady-state voltage across R, the steady-state voltage across the open circuit, and the steady-state current through R.

Solution

steady state voltage across R, /Vg= Z01 - Rg /Z01 + Rg

= 50 - 75 /125

= -1/5

va = V1 ( 1 - e^v1/T)

^{vb = V2 ( 1-} e^v2/T )

vc = v3(1 - e^v3/T)