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Transmission line and impedance matching

What you are seeing: a coaxial line of characteristic impedance Z0=50ΩZ_0 = 50 \, \Omega terminated by a load ZLZ_L. The reflection coefficient Γ=(ZLZ0)/(ZL+Z0)\Gamma = (Z_L - Z_0) / (Z_L + Z_0) measures the ratio of reflected to incident voltage. At matched load ZL=Z0Z_L = Z_0 the reflection is zero and all power transfers. At open or short the reflection has magnitude 1 and no power transfers.

Slide ZLZ_L over the resistive range 1Ω1 \, \Omega to 1000Ω1000 \, \Omega. The two indicators show Γ|\Gamma| and VSWR. The animated standing wave on the line illustrates that mismatched impedances produce a visible voltage envelope (interference between forward and reflected waves); matched loads give a uniform amplitude.

Figure 1. Transmission line voltage standing wave with reflection Γ=(ZLZ0)/(ZL+Z0)\Gamma = (Z_L - Z_0)/(Z_L + Z_0). Method: closed-form.
Z_L (Ohm)50

WHAT TO TRY

  • Vary each control and watch the rail readouts respond.
  • Compare the diagnostic plot against the live scene.