Nowadays, it’s easy to measure watts to home appliances with KillAWatt meters. However, living in Mexico, ordering one across the border would be cost prohibitive as shipping charges would be higher than the cost of the meter itself, and that's without taking into account import taxes!
Knowing that inexpensive KillAWatt meters measure power on 120V circuits, a way will be shown to calculate power on any single phase motor load at any voltage. This same technique can be used on three phase motors as well except that you’ll have to adapt the formulas for three phase power calculation. For sake of simplicity, we’ll measure power on a 120V, 5000 BTU/h, thruthewall air conditioner.
Step 1: Alternating Current Motors
Power on Alternating Current motors
Most people versed in alternating current electricity know that in order to measure power on electric motors, Amps and Volts readings would not be enough. There is another parameter – known as power factor which affects the calculation of power in Alternating Current loads.
Power = (Volts)(Amps)(Power Factor) [Watts] (1)
Power Factor is the ratio of real power (measured in Watts) to apparent power (measured in VoltsAmperes or VA). Power Factor is a quantity that cannot be higher than unity.
Power
Power Factor =  (2)
(Volts)(Amps)
In motors, real power is the one that does the actual work, the apparent power (VA) is made up of real power and reactive power. Reactive power produces the magnetic field that makes the shaft rotate. Unfortunately, an Amp meter measures total current in Amps which –in case of alternating current motors is comprised of real current and reactive current, therefore, they are not easy to separate in order to calculate running Watts.
Step 2: If it is not easy, how is it done?
You would need the following list of materials:
1 – Scrapped 16 AWG extension cord with plug.
1 – Scrapped Wall outlet box with two outlets.
1 – 35uF motor run capacitor I had kicking around in my junk box.
1 – Inexpensive plug.
2 – Quick connect terminals for the capacitor.
1 – Amp meter that also measures volts.
Warning: The following procedure is dangerous as it involves working with line voltage which can lead to potential injury or death. Any attempt on the reader’s part to do what is shown on this instructable is under his/her own responsibility. This procedure is shown for educational purposes, only.

Step 3: Putting the parts together.
Now, take the stripped ends of the extension cords and wire them to the scrapped wall outlet as shown on first picture of this step:
The hoops shown are important so you can clamp the Amp meter as will be shown.
Here are both, the capacitor and extension cords sets shown on third picture.
Step 4: Hooking up the whole thing.
Pull the Air Conditioner’s plug from the wall outlet and plug in the extension cord into the Air Conditioner’s wall outlet. Now plug in the Air Conditioner’s plug into the extension cord’s outlet as shown in the picture. Note that one of the outlets on the extension cord was shifted upwards to accommodate the Air Conditioner’s plug ground prong.
Step 5: Turn on the A/C and take readings.
Plug in the capacitor into the other outlet, turn on the air conditioner and let it run for a few minutes until it stabilizes. Measure amperage on the extension cord

This is the amperage (2.81A) the air conditioner and the capacitor together are drawing from the line.
Measure the Amps drawn by the capacitor alone as shown (1.61A), now measure the amps the air conditioner is drawing alone (3.34A):
Now, measure the voltage (123.1V)and write down all the readings.
Step 7: Calculations
Now, let’s calculate running power, let’s call I1 = 3.34A, I2 = 2.81A and Icap = 1.61A and plug these values in the following formula:
I1²  I2²  Icap²
Watts = (V) SQRT( I2² + ()² )
2Icap
3.24²  2.81²  1.61²
Watts = (123.1) SQRT( 2.81² + ()² )
(2)(1.61)
Power = 344.9687 [ Watts]
To calculate power factor just use equation 2 with I1 as Amps:
Power Factor = 344.9687 /( (123.1)(3.34)) = 0.839
That would be it if you just want to calculate real power with the Mexican Watt meter, using Amp and Volt readings. If you are interested in knowing where this formula came from, continue with next step.
Step 8: Where did the formula come from?
Do you remember we talked earlier about real, apparent and reactive powers? Well, electrical engineers use the following right triangle to explain how these powers interact with each other. It happens that this triangle is formed by vectors which represent these powers, as a matter of fact, this triangle is known among electrical engineers as “the power triangle”. By multiplying Volts times Amps we get Apparent power vector whose angle is determined by the magnitudes of both, real and reactive power vectors.
Real Power [Watts] is represented by a horizontal vector, reactive power [VAR] is represented by a vertical vector and apparent power [VA] is represented by the vector addition of both, real power and reactive power vectors. Using right triangle relationships, we have:
VA² = Watts² + VAR²
In order to calculate Real Power [Watts] we need both, apparent power and reactive power, however, reactive power is also an unknown.
Step 9: Enter the capacitor

The introduction of the capacitor into the circuit reduced total current drawn by both, the motor and the capacitor, it can be seen that VA2 vector is smaller than VA1. The difference between VAR1 and VAR2 is due to the capacitor’s power which is 180 degrees opposite to VAR1, here that is shown as Cap = VAR1 – VAR2.
Step 10: The equations.
The introduction of the capacitor into the circuit reduced total current drawn by both, the motor and the capacitor, it can be seen that VA2 vector is smaller than VA1. The difference between VAR1 and VAR2 is due to the capacitor’s power which is 180 degrees opposite to VAR1, here that is shown as Cap = VAR1 – VAR2.
From here we can derive the following equations:
VA1² = Watts² + VAR1² (3)
VA2² = Watts² + VAR2² (4)
Cap = VAR1 – VAR2 (5)
From (5), we determine VAR1
VAR1 = Cap + VAR2
Substituting VAR1 in (3) we get:
VA1² = Watts² + (Cap + VAR2)²
Watts² = VA1²  (Cap + VAR2)² (6)
From (4) we have:
Watts² = VA2²  VAR2²
Equating with (6)
VA2²  VAR2² = VA1²  (Cap + VAR2)² (7)
VA2²  VAR2² = VA1²  Cap²  2CapVAR2 – VAR2²
As VA1 = (V)(A1), VA2=(V)(A2), VAR2 = (V)(AR2) and Cap = (V)(Acap), then we have:
(V²)(A2²) – (V²)(AR2²) = (V²)(A1²) – (V²)(Acap²) – 2(V²)(Acap)(AR2) – (V²)(AR2²)
Which would be reduced to:
A2² = A1²  Acap²  2(Acap)(AR2)
2(Acap)(AR2) = A1²  A2²  Acap²
A1²  A2²  Acap²
AR2 =  (8)
2(Acap)
Substituting in (4)
A1²  A2²  Acap²
(V²)(A2²) = Watts² + (V²)()²
2Acap
A1²  A2²  Acap²
Watts² = (V²)(A2²) + (V²)()²
2Acap
A1²  A2²  Acap²
Watts = SQRT( (V²)(A2²) + (V²)()² )
2Acap
Substituting I1 = A1, I2 = A2 and Icap = Acap, we get the formula:
I1²  I2²  Icap²
Watts = (V) SQRT( I2² + ()² )
2Icap
Which turns out to be the formula we used earlier to calculate power.
This method is useful whenever you need to take power readings on electric motors and no power meter is available, which is the reason it was called the Mexican Wattmeter. As it is said up north, "Its accuracy is close enough for government work" provided no significant harmonics are present.
Note: This method to measure power works only with linear loads such as motors, it cannot be used with electronic loads such as computers. To measure power on electronic loads you have no choice but to use a real power meter.
Speaking of names, is there any reference between yours and the mayan feathered serpent deity?
Have a great day!
My friend, wireless electricity was their specialty as well , in fact a form of it now called bio energy, or zero point energy, or gone etc. Modestly but like them I have been able to extract energy from the ground, orienting my electrodes north south and with a special circuit...Great instruct able continue on Thanks.
Happy birthday kukulcangod !
I thought of you today, I just saw a video on youtube about the feathered serpent going down the pyramid.
What kind of loads have you been able to feed with the energy you extract from the ground?
I see you have a meter, how accurate is this procedure?
In spite of this wide difference, this method beats having to guess power when there is no power meter available.