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50 Ohm Trace Width Calculator



For RF signal you must draw a 50 ohm net between chip and antenna to get the best performance.This post is the result of my web research on this topic …

50 Ohm Trace Width Calculator

The trace resistance of a microstrip is important in determining how much power it dissipates. By determining its trace resistance, the contribution of a microstrip to the overall circuit resistance can be evaluated. This tool is designed to calculate the resistance of a microstrip trace with a copper conductor.

  • Enter the relative permitivity, width of the trace, the ground plane spacing, and the substrate thickness to calculate the characteristic impedance. Ground Plane Spacing, S. Substrate Thickness, H. Note: Units do not matter for this.
  • PCB Trace Width Calculator & PCB Trace Resistance Calculator per IPC-2152. Calculates the current a conductor needs to raise its temperature over ambient per IPC-2152. Now also calculates DC resistance with temperature compensation. Other conductor properties include: Conductor skin depth Conductor voltage drop Conductor DC resistance.
  • The best way to calculate trace impedance is by using a trace impedance calculator. You can find trace impedance calculators online or in your CAD software. There are several parameters to consider when determining impedance, including: Trace width; Trace thickness; Laminate.
Ohm

There are two ways to design your emitter to antenna solution:

  • A microstrip line : basically you have a net on the top driving the signal and a ground plane on the PCB bottom
  • A coplanar wave guide : your signal is drive by a PCB net on top with two ground plane area on its left & right. If you also have a ground plane on the bottom it’s a grounded coplanar wave guide

The way to get a 50 ohm communication way is different depending on your choice.

Common consideration

The impedance of the line is mainly depending on your PCB characteristics. The most important are:

  • PCB Material

The PCB material are standardized with different norms. One of the most common is FR4. It defines range for most of the parameter we need to know for the wire size calculation. The problem is range are large and the calculation will vary depends on where your PCB is in the given range.

  • The Thickness of dielectric = the PCB height.

This is why we found RF pcb : they are particularly thin as this is allowing to make smaller RF wires. This can be a variable parameter depending on your PCB provider sourcing and these variation may impact you radio quality.

  • Relative Dielectric Constant (εr)

Circuit Board Trace Width Calculator

It determines how much electrostatic energy can be stored per unit of volume when unit voltage is applied and basically how the PCB act as a capacitor (as this definition is really simplified you can learn more here)

This constant depends on the material and the frequency of the communication. For a FR4 dielectric.

For a 433MHz line it will be between 4.2 and 4.5 (assume 4,35) ; for 868MHz 4.15 and 4.4 (assume 4,30). (I did not found more precise information on Eurocircuit website for non RF pool circuit)

Microstip lines

The impedance depends on the net width, the net height, the board type and so one. There are multiple tools on Internet to calculate the net width to use. Two of them is the following one :

Its gives you the impedance based on different parameters

  • Height (H)
  • Width (W)
  • Thickness (T)
  • Substrate Dielectric (Er)

These elements refer to the following diagram :

On this list, many are constants and depends on the PCB making process and components. So you will find the elements on your PCB provider website.

  • For Eurocircuit these information are given in the price calculator interface. The standard Height is 1.55mm ; the Thickness once finished is 35um.
  • For Seeed you can choose from 0,6 to 3mm. Thickness is from 1oz (0,035mm) to 3oz (0,1 mm) – See this calculator for oz to mm conversion.

Here is a table of W depending on the other standard parameters (I choose the one acceptable in term of price)

@868MHz – Er 4,3H(mm)T(mm)W (mm)
0,80,0351,52
1,00,0351,90
1,20,0352,29
1,550,0352,97
1,60,0353,06
RF Pool – Er 3,450,50,0351,10

The main difficulty is to be able to create a trace up to 3 mm large when you have as a source and destination pads around 1mm and in the middle you have to integrate capacitors & inductor CMS with width about 0.8mm. We also have to take into account that a CMS will make the Thickness to change.

As a complement you can read this paper with larger theory.

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Coplanar wave guide

Grounded CoPlanar Waveguide have an advantage to not take the wire Thickness as a parameter. The other parameter are like defined previously.

@ 868 Mhz – Er 4,3H(mm)S(mm)W(mm)
0,80,2541,08
1,00,2541,23
1,20,2541,35
1,550,2541,52
1,60,2541,54
RF Pool – Er 3,450,50,2540,94

As we can see with Grounded coplanar waveguide the width of the track is really thinner than with Microstrip and the gap between min and max have a lower range. As a consequence the tolerance to small variation is better.

You can calculate your wire size with this calculator :

As a complement you can read this website with larger theory

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This online PCB impedance calculator helps to calculate stripline impedance. Stripline is a transverse electromagnetic (TEM) transmission line medium which can be fabricated using printed circuit boards (PCB). Stripline PCB Impedance is expressed using Ohm. Propagation delay is the amount of time it takes for the head of the signal to travel from the sender to the receiver. Use Stripline Impedance Calculator to find the PCB Impedance, capacitance, propagation delay and inductance

PCB Impedance Calculator

This online PCB impedance calculator helps to calculate stripline impedance. Stripline is a transverse electromagnetic (TEM) transmission line medium which can be fabricated using printed circuit boards (PCB). Stripline PCB Impedance is expressed using Ohm. Propagation delay is the amount of time it takes for the head of the signal to travel from the sender to the receiver. Use Stripline Impedance Calculator to find the PCB Impedance, capacitance, propagation delay and inductance

Trace

Formula:

z = 60 / (√(e)) x LN((1.92 x (2 x h + t)) / (0.8 x w + t))c = (5.55 x 10-11 x e) / (LN((3.81 x h) / (0.8 x w + t)))p = 3.34 x 10-9 x √(e)l = c x z x zWhere,e = Relative permittivity of the dielectricm = Height of dielectrich = Height of tracez = Characteristic impedancew = Width of the tracet = Trace thicknessc = Capacitance per unit lengthp = Effective propagation delayl = Inductance per unit length

Example

Consider PCB stripline trace of width 10cm, thickness 6 cm and height 15 cm with relative permittivity of 31. Find the impedance

Characteristic Impedance

= 60 / (√(31)) x ln((1.92 x (2 x 15 + 6)) / (0.8 x 10 + 6))
= 17.2075 ohm

Capacitance Per Unit Length

= (5.55 x 10^-11 x 31) / (ln((3.81 x 15) / (0.8 x 10 + 6)))
= 1.2231 x e-9 F/m
50 ohm trace width calculator

Effective Propagation Delay

= 3.34 x 10^-9 x √(31)
= 1.859 x e-8 s/m

Inductance Per Unit Length

= 1.2231 x e-9 x (17.2075)2
= 3.621 x e-7 H/m

Stripline PCB Impedance is the complex ratio of the voltage to the current in an electrical circuit. Inductance in an electric circuit causes an electromotive force to be generated by a change in the current flowing. Capacitance is the capacity of an electric circuit to store an electric charge.

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