Transmission line visualizer
t / τ
d
:
0.000
Γ
L
:
0.000
V
S
:
0.000 V
V
L
:
0.000 V
V
g
=
V
R
g
=
(Ω)
R
L
=
(Ω)
∞
Time scale —
2.5
s per τ
d
Segments (N)
Z
0
per segment (Ω)
Reflection termination tolerance (% of |V
1
|)
Signal shape
Step (instantaneous)
Linear ramp (trapezoidal)
Smooth S-curve (erf)
Rise time constant τ
r
/ τ
d
Start
Pause
Reset
incident
reflected
total (incident + reflected)
Axes: horizontal is position
z
(0 → ℓ). Vertical is voltage.
\[\Gamma_L = \dfrac{R_L - Z_0}{R_L + Z_0}, \quad \Gamma_S = \dfrac{R_g - Z_0}{R_g + Z_0}\]
\[V_1 = V_g \dfrac{Z_0}{R_g + Z_0}\]
\[V_{2k} = \Gamma_L V_{2k-1},\quad k \ge 1\]
\[V_{2k+1} = \Gamma_S V_{2k},\quad k \ge 1\]
Computed Values