i was also thinking same

Same

After converting the capacitance value is 1/ (n^2 * Z2), so you can say C = 1/ (n^2 * Z2) but for capacitor the characteristic impedance Zo = 1/ C. Therefore you have to take inverse of 1/ (n^2 * Z2).

You should take only n=3.

You can watch this video kzfaq.info/get/bejne/nc5ohZdqqqqVhoE.html. By calculating the input impedance of one of the case you can prove the same.

Can be used for even number as well

@@RFDesignbasics sir can you upload an example how to do

Different characteristics impedance leads to different width of stub, eventually leads to different effective dielectric constant. Because effective dielectric constant depends upon width. Wavelength is inversely proportional to square root of effective dielectric constant.

@@RFDesignbasics Yes, I recall some of knowledge. when frequency goes high, more fields confined into substrate, which will lead to a higher effective dielectric constanct. Thank you for the explanations, Sir.

But 1/2 is the value of the capacitor in lumped form. When we apply Richards transformation on it, the Zo value of capacitor becomes 1/C i.e. Zo = 2

@@sravani461 this answer is gold. ty

Ask questions clearly

@@RFDesignbasics okay, so in the video you mention how the lambda (wave length) is dependent on the Z, however, you do not go into detail on how they are related. or how to solve for lambda. I know you mention it is dependent on dielectric constants of the material based on varying widths, but this is vague and for hand computations, confusing. My question is, how would you calculate the wavelength by hand (and therefore the geometry) without the use of simulation soft ware?

Ok. So the answer is going to be long. The wavelength is ratio of Phase velocity and frequency inside any microstrip line. To calculate phase velocity you need to know the dielectric constant or relative permittivity of the material. In case of microstrip line the relative permittivity combine with air or free space and makes relative effective permittivity or effective dielectric constant which is dependent on h of the substrate and width of the line as well (refer the formula from DM Pozar Microwave Engineering section 3.8). Since Z0 is width dependent of the line, relative dielectric constant also width dependent and hence wavelength too is width dependent. For calculation of all these manually you can refer the same section of Pozar.

@@RFDesignbasics Going off of this I also found a source that validates this response in "Fundamentals of applied electromagnetics" - Paerson, chapter 2 section 5. Thank you for you speedy and detailed response, I really appreciate your videos!

Thank you. You are welcome 🙂