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AC-DC Voltage; What’s the difference ?

Alternating current is, much like the name suggests, the flow of electrons which constantly changes direction. All home and business power grids worldwide are using sine wave AC current because it is easier to generate and much cheaper to distribute, except very few long distance applications (mainly when connecting different country power grids over sea) which benefit from the lower power losses of very high voltage DC (HVDC) systems.

Unfortunately AC current complicates things dramatically for an amateur to clearly understand how it works and makes the “water circuit” model obsolete; however it can still be visualized as water rapidly changing the direction of its flow, even though nobody would ever understand how water would accomplish anything useful by doing this. AC current and voltage constantly changes direction; how quickly is defined by the frequency of the application (measured in Hz) and for residential power grids it usually is 50/60Hz, which means that the voltage and current will change direction 50/60 times per second. Calculating the active (RMS) voltage and current is fairly easy with sine wave systems; simply divide the peak by

Random AC Current/Voltage (230V) waveform

In the above graph you can see a random, imaginary AC power load. As you can see not only the current (i) and voltage (v) are constantly alternating, but they also are out of phase (unsynchronized). The vast majority of AC power loads will cause a phase difference. This means that you need to apply vector mathematics even for the most simple of calculations; it is not possible to simply add, subtract or perform any other scalar mathematics operations when working with vectors. With DC current we would say that if 5A were transferred to a point from one cable and 2A were transferred to the same point from another cable, that would equal 7A delivered to that point; with AC current that would not be true because the end result would depend on the direction of the vectors.

Random 3-phase load AC RMS Voltage/Current vector diagram

The active (or true) power of an AC powered load can be calculated with the simple

type,

where ฯ† is the angle between the voltage and the current and is also commonly known as the power factor. The active power is all that home/business consumers care (and pay) but it does not equal the total power coming through the conductors (cables) to the load; apparent (or complex) power is the total power transferred to the load and can be calculated with the type

If you wish to discuss this editorial or ask questions please join us in our forums, or you an simply leave a quick comment below. Special thanks to ironlaw for this editorial.

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9 comments

  1. I can safely say I am still as lost as I was before I read it ๐Ÿ™‚

  2. My head hurts, really good read, I managed to pick up bits and pieces, the last page was purely “WTF” however. Ill just leave PSU testing to you people, ill read them and buy the one that gets a good score !

  3. Read it slowly, makes more sense. I read it three times adn think I picked up most of it. bit over my level of skill

  4. Yeah, im back off to playing Red Dead Dedemption. I am sure a lot of people love these editorials, but im lost. im just stupid ๐Ÿ™‚

  5. Good article, its a bit short though, needed more information. I think I managed to fill in a few of the blanks

  6. ermmm. I was excited on the first page, 2 and 3 pages were good, 4th page, still struggling to break it all down. I suppose we need some skills with eletrics in the first place.

  7. Very very very interesting article, mostly because I just had my physics exam, so I don’t hate this kind of things anymore! ๐Ÿ˜€

  8. I have my physics exam on electronics in about a week – thanks Z, it all made sense to me ๐Ÿ˜€

  9. This was very useful. Read it twice cus it’s hard to focus inna room full of kids.