What this E(EL) symbol does mean?

I can't understand what this E(or EL) symbol does mean. I know that Zo means impedance and I can calculate trace width according it, but what E symbol does mean?

• Is it "electrical length" or "effective length" or something? Just a guess given that "E" is given in "degrees at a certain frequency" in the first image which makes it seem like a phase-related measurement (and maybe the EL ones in the second image are missing the degrees unit)? Feb 15, 2023 at 18:10
• Electrical length does not matches, because I have the physical board and it is it's schematic. Feb 15, 2023 at 22:29
• Can you add a photo of this area of the physical board?, and also describe the function of the device/circuit? That context might give some clues. Feb 16, 2023 at 0:05

I haven't seen this notation before but it is almost certainly describing a matching section on a PCB - with two transmission lines connected together.

First is a line of 15.8 ohms impedance, 14.6 degrees long at 2.4 GHz.
On a Rogers microwave board this will be about 5-10x the board thickness wide, and about 3 mm long.

$$L={1\over{\sqrt{\epsilon_r}}} {14.6\over360} {300\over2450}$$ but use a real calculator because the effective $$\epsilon_r$$ depends a bit on the trace width.

Here's an example calculation from emcalc.com

The board must be quite thin for this to be possible at all - on a 1 mm thick board, the line would need to be 8mm wide, 1 mm long, which is a capacitor not a transmission line.

Next is a line of 25 ohms impedance, with an electrical length of just 4 degrees. I'm not sure what the point of this short line would be, but it will be 1 mm wide and 0.6 mm long.

I suspect this is a (part of a) matching section for an RF transistor. They can have impedance much lower than 50 ohms, so will benefit from a transformer.

Note that there is no wire at all between the sections, in fact they must be touching. It's just drawn like that to describe the individual parts of the line clearly.

Here's a photo of an amplifier for 2.4 GHz with an SMA connector for scale, so your figures look plausible. (source: Amsat UK)

Note: 1) this is CPW not microstrip and 2) there are parallel RF-short-circuited stubs on both sides, used to supply power to the transistor.

• As I said I have the physical board of that schematic, but trace width does not matches. For example: for region where Zo = 15.8, E=14.7 trace width is about 5mm and length also ~5mm. But according emcalc trace width must be ~twice less. Feb 16, 2023 at 8:42
• According your photo, how you did calculate trace width? according amplifier datasheet ? Feb 16, 2023 at 8:55
• Please look at my question, I added additional full schematic image. Feb 16, 2023 at 11:28
• @Alatriste Which actually defines the ** and *, so you should probably have done that to begin with! Yes, that's trace length, as the footnotes say! Feb 16, 2023 at 14:36
• @Alatriste you can and should calculate the line width based on your PCB Er and thickness, and whether you are using CPW or MS. If you have found an error in the reference PCB design (not shown in question) then ask about that or contact the manufacturer for errata. Feb 16, 2023 at 15:21