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If an AC current is sinusoidal, then the peak value of a current with an RMS value of 2A is 2.8A, or 2A times the square root of 2.

However, very few current waveforms are sinusoidal. In fact, they are often far from sinusoidal - they are more often pulsating - because most power supplies, even switching power supplies, only draw current when the rectifier diodes conduct to recharge the primary filter capacitor. That only occurs once (half wave rectifier) or twice (full wave rectifier) each line cycle.

The square root of 2 rule does apply if the load is purely resistive and the voltage is also sinusoidal. Most voltages are also not sinudoidal, because of the pulsating current issue, and because conductors are not perfect zero impedance conductors. Voltage waveforms, however, are more closely sinudoidal than current waveforms.

The most accurate way to measure the peak current value is to observe it with an oscilloscope. If you want the analytic approach, you need to back calculate from peak value to RMS value, knowing that RMS value is the square root of the sum of the squares of the observations divided by N, as delta T approaches zero, and N approaches infinity. (Best to just use the oscilloscope.)

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Q: What is the peak value of current if its rms value is 2A?
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What is the potential difference neede to send 2a through a 5 ohms resistor?

V=I*R -- Potential (Voltage, V) = Current (Amperage, I) * Resistance (Ohms)2A*5Ohms = 10V


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Unfortunately, The law of Conservation of Energy says you can never get more energy out of your circuit than you put in. How much energy goes in? P (Power or Watts) = E (Volts) X I (Amps) P = E X I P = 12 X 40 P = 480W So, 480 Watts are going in. If your circuit perfectly does the conversion, with absolutely no losses, the most energy that your circuit could deliver would be 480 Watts. How much current would that be? I = P / E I = 480 / 220 I = 2.18A Now, as you have guessed, NO circuit is lossless, so the current available would be less than 2.18A in real life. And due to the nature of voltage doubler circuits, to even approach this value you would end up with 5 HUGE capacitors. You would also have to do some sort of regulation, because your circuit would not produce 220V directly. A voltage doubler doubles the peak voltage, a tripler triples, etc. The peak voltage of your 12V AC RMS source is: Peak = RMS X 1.414 Peak = 12 X 1.414 Peak = 16.968 = approx. 17V So, as you run through doubler stages you get: 17V - 34V - 68V - 136V - 272V Realistically, even with a regulator and big big capacitors, you will do well to get a few tenths of an amp from your doubler circuit. I suggest instead, that you use a step-up transformer with a conventional rectifier-capacitor filter on the secondary. 220V - 12V step down transformers are available, you can use one in reverse as a step-up. Of course, a 220V - 12V, 40 Amp transformer will weigh about 50 pounds, and it will be the size of a soccer ball, BUT you will have a full 2A of current available! You will still have to have regulation if you need 220VDC though. Have fun!


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What are the disadvantages of leading power factor?

When you have a Power Factor less than 1 the voltage and current waveforms in an AC circuit are out of phase. Therefore at any given instant of time the work being done or energy being expended is calculated by multiplying the current x voltage. This reduces the wattage at any instant of time. When the Power Factor is one the instantaneous multiplication of the current and voltage would yield the maximum value with the waveforms in phase. This is much easier to see with a picture, but imagine a square wave for both voltage and current. Say for half the cycle the current is 2A and Voltage 3V and for the second half of the cycle both are zero. So for 1/2 the cycle the watts generated are 6 watts and zero for the second half of the cycle. Now if the two waveforms were 180 degrees out of phase the voltage would be zero when the current was 2A and the current would be zero when the voltage was 3V for zero watts. In this case the Power Factor would be zero.

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