Shunt L and C in Admittance

Question I started with

I used the RFDH Smith-chart notes to revisit adding parallel elements as susceptance on the admittance chart with a hand calculation and my own diagram.

Shunt L and C in Admittance — concept flow — I redrew the relationships before returning to the equations.

Connecting the concepts

The key is adding parallel elements as susceptance on the admittance chart. Before reading coordinates I record Z0, frequency, and impedance/admittance mode, then label each element or line-length move.

Smith chart
normalized impedance
reflection coefficient
matching

Equations and assumptions

I write the reference impedance, units, and linear-versus-decibel domain before substituting numbers.

Y = 1/ZB_C = omega C

Worked example

At 1 GHz, +j20 mS shunt susceptance is about 3.18 pF.

Shunt L and C in Admittance — calculation relationship — This is my explanatory redraw, not an imported RFDH figure or a measurement result.

Connecting it to my coursework and projects

I use this order when reading my stored L-section and single-stub screens. The trajectory is an archived simulation view, not a current rerun.

High-frequency engineering course hub

What I will check next

Visual chart readings may differ slightly from calculated values. A matching answer is incomplete without normalization, wavelength direction, and open/short-stub type.