# What are the circles in Smith Chart?

## What are the circles in Smith Chart?

The normalised impedance Smith chart is composed of two families of circles: circles of constant normalised resistance and circles of constant normalised reactance. In the complex reflection coefficient plane the Smith chart occupies a circle of unity radius centred at the origin.

## What is resistance circle in Smith Chart?

Constant Resistance Circle for zL=1 on Smith Chart. In Figure 1, the outer blue ring represents the boundary of the smith chart. The black curve is a constant resistance circle: this is where all values of z1 = 1 + i*Y will lie on. Several points are plotted along this curve, z1 = 1, z1 = 1 + i*2, and zL = 1 – i*4.

Why is a 50 ohm transmission line standard?

For air dielectric coax, the arithmetic mean between 30 ohms (best power handling) and 77 ohms (lowest loss) is 53.5 ohms, the geometric mean is 48 ohms. Thus the choice of 50 ohms cam be considered a compromise between power handling capability and signal loss per unit length, for air dielectric.

### What is the use of Smith chart in transmission line?

The Smith chart is a chart of normalized impedances (or admittances) in the reflection coefficient plane. As such, it allows calculations of all parameters related to transmission lines as well as impedances in open space, circuits, and the like.

What is wavelength towards generator Smith chart?

The outermost scale around the perimeter of Smith chart is called the Wavelengths towards generator(WTG) scale.It has been constructed to denote movement on the transmission line toward the generator,in units of the wavelength,λ. Thus ,l is measured in wavelengths and one complete rotation corresponds to l=λ/2.

#### How do you use a Smith chart?

One type of display is the Smith Chart. We will use the Smith Chart to calculatea single-stub tuner for a mismatched load.The Smith Chart allows easy calculation of the transformation of a complex load impedance through an arbitrary length of transmission line. It also allows the calculation of the admittance Y = 1/Z of an impedance.

#### What does the complete circle of the Smith chart represent?

The complete circle of the Smith Chart represents a half wavelength along the straight line. The important applications of a Smith Chart are as follows: Admittance calculations on any transmission line, on any load. Impedance calculations on any transmission line, on any load.

What is the value of z0 on the Smith chart?

This is \\easy” on the Smith Chart due to the impedance inversion property of a =4 line (it actually can get pretty confusing) Z0= Z2 0 Z If we normalize Z0we get y Z0

## Are there any mathematical connections in the Smith chart?

Aside: There are deep mathematical connections in the Smith Chart. It’s the tip of the iceberg! Study complex analysis to learn more. 2/29 An Impedance Smith Chart Without further ado, here it is! 0.1 0.1 0.1 0.2 0.2 0.2 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.5 0.6 0.6 0.6 0.7 0.7 0.7 0.8 0.8 0.8 0.9 0.9 0.9 1.0 1.0 1.0 1.2 1.2 1.2 1.4 1.4 1.4 1.6 1.6