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RF Peak Voltage Detector Circuit…
  - Find your transmitter's output wattage by using these simple circuits and your multi-meter,
     
and begin to learn the fundamental dynamics of Radio Frequency energy by trying out these enlightening experiments.


  Originally published in The Printed Circuit, Newsletter of the Tallahassee Amateur Radio Society,  April 2013, page 14
   [VISIT HERE]    Edited/Updated December 2023

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       Are You Short A Watt Meter?

       Whether you're into homebrewing your own ham radio transmitters, low-power operation ("QRP",) or have lack for a watt meter, there's a simple solution to finding the output wattage of your transceiver ("rig") by just by simply measuring for the voltage through a peak voltage detector circuit with your multimeter and using a little Ohm's law math.  Yes, your rig’s signal going out to the antenna is more than just an invisible force – it starts off with voltage and current components well before it leaves your antenna as magical electro-magnetism.
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Visit MFJ!
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       How much voltage is in my transmitter's signal?  Well, for example: most garden variety transceivers will deliver 100 watts (a.k.a. "barefoot" power) of average power to an ideal impedance load of 50 ohms (50 ohms for an ideally 'matched' antenna system,) provided that your rig is outputting its RF signal with as a perfect sign wave (in CW-mode.)  This “100” watts, as considered, is actually the Root Mean Square (RMS) of its output power.  Even though “power is power” which is the same whether in AC or DC form; RF power, as with its characteristic sign wave pattern oscillating back and forth in polarity at its given tuned frequency, is not constant when measured at any given instant.
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Peak Reading AC Waveform, Rectified
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       There is an instant within its wave cycle when there is no power (zero-crossing) and at its maximum at the wave peaks.  The ham radio General Class License manual goes into detail about RMS and how to calculate it, but we can find the equivalent RMS Voltage (E) for our signal if we know the resistance (R) of the transmitter and associated antenna system, which in most general cases is designed to operate at 50 ohms.  Using the Ohm's law formula: voltage (E) = the square root of the wattage (P) times resistance (R) we can deduce that our 100 watt signal contains a voltage of 70.7 volts RMS.
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PVM Test
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       Any radio experimenter familiar with using a multimeter may consider the obvious option of using one to read this 'AC' voltage.  Yes, that is plausible, but only as long as the AC frequency is lower than a few hundred kilohertz as most budget multimeters were not designed to read input signals at higher AC frequencies, and if you look at the specifications for your meter, you'll see that as the frequency goes up, the accuracy goes down.  Most meters stop listing specs at more than 20 kHz which is just barely out of the human-perceived audio range, let alone radio.  A purpose-built frequency counter, vector network analyzer (VNA) or oscilloscope are apt choices, but even many oscilloscopes have frequency range maximums, and all of those options are not likely designed to accept direct power from any transmitter over a few milliwatts!

       So I present three variations of a simple detector circuit to convert the RF voltage of your transmitter's signal to a measurable DC voltage readable by any voltmeter.  All you have to do is a little math to derive the power level.
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       AN IMPORTANT NOTE:  These experimental circuits and methods presented here are intended for academic use and are not designed to give crucially accurate readings, as mentioned further.  Radio Frequency energy can be harmful and even fatal if improperly handled so this article intended only for those legally licensed as amateur radio operators and/or those with a fundamental understanding of electronics, radio theory and any applicable safety measures involved.  The author is not liable for any misuse or mishap associated with this article.

       Safety first!  It would be in line with ‘best practice’ to build these circuits, and any dealing with RF on copper-clad PC board.  I was able to use my solderless prototyping breadboard with success.  You only need to worry about losses on the RF-side of the circuit.  All you'll need is a 50 ohm resistive dummy load, either a commercial one or an actual 50 ohm resistor(s) with a (combined total) wattage handling rating over that of your test range, and you'll need a BNC splitter-tee with terminals.  Having an actual watt meter will be good comparison reference if experimenting.
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       For The Converted.

       First, a little setup.  Make sure your rig's transmitter (TX) output is connected to a 50 ohm resistive 'dummy load' that is rated to handle the range of wattages you want to test.  A 50 ohm dummy load is typical because most transmitter's finals are designed to work into an antenna system that optimally has 50 ohms of impedance.  BNC connectors with some kind of thinner coax cable like RG-158 are easier to work with and smaller connectors and adapters are easy to find on Amazon and like sources.  Make sure to order a few SO-238 to BNC adapters.  SO-238 is the most standard female connector on the back of most rigs and PL-259 are the male counterparts, but, as BNC is easier to work with for small experiments then you'll need to convert.
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RF Probe Tap
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       Next, you'll need a way to sample the power from this line.  You can use a BNC female 'T' splitter... actually, a bunch of adapters that ended up making a 'T' was what I used and that was terminated by a center connector for a dipole.  You can use “alligator” clips to connect the terminals to the circuit.  Using an actual RF connector with very short wire lengths overall is preferred.  Build one of these circuits and connect your multimeter preset to Volts.  Make sure that your meter is set to a higher voltage range first if it doesn't have an auto-range feature as you'll want no surprises that would zap a good meter.  Once set up – You should now have an RF probe!

       Since the measured voltage will be a constant DC signal and our input RF (AC) signal is an RMS sign wave, how do we convert one to another?  We'll use the following formula to convert this DC voltage reading to RMS Power by using the Ohm's law formula:
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Formula for Calculating RMS Voltage, 1-10 watts
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       RMS conversion is another thing.  For true RMS conversion, especially with non-sign wave signals, the math alone would cover half this page, but we hams don't really need to worry about all that, as we, for the most part, can transmit pure sign wave signals, which requires much less math to.  In this case, we'll be working with CW (continuous wave) and not an SSB voice signal.  Since the Root Mean Square of a sign wave can be found by getting the square root of '2', then we'll want the inverse of that to go from a DC value to RMS: 1 / √ 2.  Simply put, for a pure sign wave, hams can use the multiplier: 1.414 for RMS and 0.707 for the inverse-RMS.  So when we read the DC voltage from our voltmeter using our Peak Voltage detector circuit, we can take that reading and multiply it by 0.707 to get our RMS voltage.  With that, we can then derive our RF Power figure (which is in RMS) using Ohm’s Law.  Don't worry, the formulas are to follow, and maybe the Digi-Key Ohm's law calculator may be a help.
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       Reading RF Output in the QRP Range:  1 - 10 Watts

       The base of this circuit is as about as simple as it gets; it only requires a diode and capacitor.

       If you're into experimenting with homebrew transmitter circuits or enjoy building QRP (low-power operation) transceiver kits, the measurement of your output signal power eventually becomes a necessity!  Without an oscilloscope or QRP-level watt meter you might be left guessing.  Try this 1-10 watt version of the PVM circuit shown here:
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RF PVM DMM, 1-10 Watts
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       One common popular switching diode, a 1N4148, rectifies the incoming RF (AC) voltage, which should be a pure sine wave, and passes that on to charge a small capacitor.  Once the capacitor fills to a nominal peak input voltage level, a more stable voltage is available to be sampled by any standard voltmeter.  The resultant measured voltage will be the DC equivalent to the RMS voltage of the sampled RF output.  To take our measured DC voltage to find the RF output power (wattage) of our transmitter, we first figure the RMS voltage by multiplying the DC voltage times a factor of 0.707.  So for instance, if your voltmeter reads 21.1 volts; 21.1 times 0.707 gives us 14.92 volts RMS.  Finding the wattage of our signal is now a simple application of Ohm's law.
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RMS Conversion Formula From Voltage Reading, 1-10 Watts
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       Use the Ohm’s law chart to help.  So power (P) = voltage (E)-squared divided by resistance (R).  P=E2/R  The resistance is of course, the 50 ohm dummy load connected to our transmitter output.  By the way, because this is resistance load is measured when RF power is present, your dummy load my not read 50 ohms when power is not present, depending on the type of load, but that's beyond the scope of this article.  In my experiment, the dummy load, along with the splitter detached from the rig actually reads 72 ohms, but it sees 50 ohms when running.  So using the formula we find that (14.92)2/50 = 4.45 watts!  Now, with lead lengths and stray capacitance, the subsequent losses on the line may cause your reading to not be very accurate, but it should be close.  I measured 4.3 watts with the commercial watt meter.
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       Considering Diodes.

       Because we're working with RF energy, fast-switching diodes such as the germanium type, Schottky, or other RF-rated diodes should be used in this type of circuit.  The ubiquitous 1N4148 switching diodes should work fine on frequencies up to 30 mHz, but above that, other diode types will have to be considered.  Forward and reverse voltage rating maximums should be considered; after about 20 watts, the RMS voltage across these small diodes will surely breach their max voltage ratings.  Larger power rectifying diodes such as the 1N4000 series are not really useful over their intended design frequency (i.e. 60 Hz), so you should avoid those for RF work.

       Diodes do not linearly conduct within its voltage range!  Even if you use a circuit that samples the RF via transformer action such as commercial watt meters, this will be an issue.  To solve this, watt meter designers will coordinate the needle dial graphic with the actual observed results.  With microcontroller controlled watt meters, a lookup table, formula or mapping structure will be used to convert the read voltage to a digital number.  Diodes also have a voltage drop (typically around 0.6 volts) that is also skewed by current flow through the diode, and this also has to be considered.  The voltage drop should be somewhat consistent over a range of frequencies.  Do a  little research with diodes of different specifications and you may find a type with a lower voltage drop or more consistent conduction/current relationship.  The following circuit will address this to some degree.
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       Reading RF Output in the Barefoot Range:  Above 10 Watts

       If you use the circuit described above, once the input power gets into the 20+ wattage range, you'll surely destroy your diodes.  By using a simple resistor divider network pad to scale the input voltage down, you can spare your diodes an eminent death and still have something useful to read by your meter.  Use can use this useful Voltage Divider network Calculator from Digi-Key [HERE] to find the best resistor match necessary to derive a proportional voltage you can work with.  If you use higher resistor values for the network, then lower current will be drawn away from your input power which would skew your voltage reading.  In this circuit, basically, we’re using two values of resistors configured together to scale the output voltage down to a 10th of its input to make the math easier, i.e.: 50k ohms / 5k ohms.  I've used the values of 47k ohms and 5.1k ohms here because that's what I had on hand and it's close enough.
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RF PVM DMM, 10-200 Watts
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       A few caveats* to consider when using a resistance dividing network in this PVM circuit:  resistors have manufacturing tolerances and do not generally contain all the resistive goodness advertised on its package.  A network will adversely scale these inaccuracies, so a little adjustment will need to be made when building this circuit.  Consider using a  potentiometer (in a network configuration) or try reading DC voltages with just the divider portion of the circuit in a simple DC circuit to adjust one or both of the resistors so that you'll know you're going to get a 10 to 1 reduction of input voltage.  Since this is an RMS/RF voltage on the divider, if you use a potentiometer to fine tune the divider, make sure that the leads are short and that the potentiometers are not an inductive or capacitive type.  In my experiment, my resistors were way off from the get-go, so I changed the resistor values and my final reading was within just a watt or two even when testing up in the 100 watt range.
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Formula for finding RF rattage from RF voltage, 10-200 Watts
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       Of course, this is an academic exercise and anyone outputting over a few watts could simply use any readily available watt meter, but what about the experimenters trying less-than-a-watt communications (known as “QRPp”)?  The following circuit may be the most valuable here!
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PVM Rig Power RF Wattag Setting
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       Reading RF Output on a Flea-Powered Transmitter:  Less-Than a Watt

       At less than a watt of power output from a QRPp transmitter, your multimeter should have no problem giving you accurate low-voltage measurements, but now the common 0.6 to 1.6 voltage-drop on some diodes becomes a prohibitive issue.  It generally worsens with smaller voltages.  In the following circuit, I added another diode in parallel to the source to give full-wave rectification, adding power coming from the other direction on top of the capacitor charge and we double the voltage!
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RF PVM DMM, Less than a watt
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       This configuration is known as a Charge Pump and is the staple of boost converters, switching power supplies, flyback transformers and Jacob's Ladders.  So you can get a double voltage boost from this configuration, but don't forget to divide the measured DC voltage in half before entering it into your RMS/power formula.  Perhaps subtracting the voltage drop.
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Formula for finding wattage given voltage measured from radio output, less than 1 watt
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       Considerations.

       A Peak-Voltage Meter circuit has many useful radio applications, especially when it’s impractical to use a dedicated watt meter.  The DC output voltage could be useful to trigger comparator circuits and for Tx/Rx switching relay circuits.  If you're working with live RF into an antenna system, your results should still be useful as long as the impedance impact of your circuit along with the transmitter/antenna system is at a known value, such as 50 ohms.  Since you’ll have the voltage and resistance as known factors, you’ll also know the current of you signal as well.
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PVM test on Solderless Breadboard
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       At A Loss...  But Wait, There's More.

       Though, since this circuit reads Peak Voltage only, you'll not be able to measure directional current, reactance/admittance or any present standing waves (SWR) of your antenna system. That would require a circuit using a current transformer.  And for UHF/VHF frequencies, unless you're using diodes rated for these higher frequencies, anything over the HF range might not be accurately readable.  You’ll also most likely see substantial system power losses due to all the connectors and added wire lengths.  A circuit like this is not able to read the complex impedances, capitances and reactances involved.  But wait, I've only presented a small introduction into understanding what comes out of your rig.  For most "appliance operator" hams, all they may care about is the SWR and output watts.
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PVM Test Setup
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       These days, there are tools and devices that show you which used to take Smith charts and dozens of calculations, and their inexpensive now!  I highly suggest learning about using a Vector Network Analyzer (VNA) to discover the wonders and nuances of your antenna system and any experimental RF circuit.  A NanoVNA can be had for less than $50 and I suggest watching IMSAI Guy's very informative YouTube series on the NanoVNA [HERE].  With a NanoVNA you can uncover the complex impedences and capacitances of your antenna system, see the losses and electrical length of your coax, find the resonant frequencies of your antenna, find the inductances of your hand-made toroid coils, and much more!  There's also a NanoSA Spectrum Analyzer for cheap to show you all the harmonics in your system. YouTube also has quite a few tutorials on building transformer-based RF power meters, especially for QRP levels.
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NanoVNA
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       I provide this article only as an academic exercise, and perhaps a way for some of you hams to get to know a little bit more about what comes out of the back of the thing you call a "rig".  I had fun with this and I’ve been able to better tweak the output of my current QRP rig.  I didn’t even need to warm up my soldering iron!

       Please see the following video from IMSAI Guy on YouTube for more insight on deriving power information from your rig without a dedicated watt meter:
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       The weekend is here so go and build something!
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       73! DE Mike, K4ICY  MikeK4ICY@gmail.com


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Edited: 12/29/23

(C) 2013, 2023 Copyright - Michael A. Maynard