Smith chart

Uncommon card · No. 78063

The Smith chart is a circular nomogram used in radio frequency (RF) engineering to solve transmission line and impedance-matching problems. It plots a complex reflection coefficient ( Γ {\displaystyle \Gamma } ) on a grid of normalized electrical impedance ( z {\displaystyle z} ). Depending on the region, it is also known as the Smith diagram, Volpert–Smith chart, or Mizuhashi chart. Because normalized impedance is complex, the chart maps two families of curves: circles of constant resistance ( Re ⁡ ( z ) {\displaystyle \operatorname {Re} (z)} ) and arcs of constant reactance ( Im ⁡ ( z ) {\displaystyle \operatorname {Im} (z)} ). Standard charts focus on passive circuits where resistance is non-negative ( Re ⁡ (...

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