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How Watts and Audio Amplifiers Work Together

By  Brandon Drury | Published  06/14/2006 | Technical Guides
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Headroom Is Everything

In an ideal world, we'd never run out of gas, milk, or power in our power amplifiers. Unfortunately, unlimited gas, milk, or power does not come cheap. Depending on our wallets,we have to balance between $$ and headroom (or supply). While we could go out and buy 50 gallons of milk right now, but more than likely 48 and a half of those will be going to waste. A lot of times audio power is the same way. Basically, I'm saying that if you have unlimited funds for a PA system, go out and buy as many 50,000 watt amplifiers as you need. This will ensure that you never run out of power. Of course, this is 100% total overkill!


You see, if you are playing your music at 96db (Not as loud as a band, but definitely loud enough to piss off the neighbors) with just one speaker with a sensitivity of 90dB @ 1 watt, you need to double your wattage to get up to 93dB. So we now have 2 watts. We need to double the wattage again to get to 96dB. So it looks like we need 4 watts to hit 96dB with our hypothetical speaker.


Back to the headroom concept. If a person knew they would never play louder than 96dB, it would be an easy decision. They could stick with the 4 watt system and piss the neighbors off all day long. However, especially with PA systems or studio monitors, there is always that chance that we'll need a few extra dB of power. Maybe there is just one huge bass hit just one time. If we don't have enough power, we'll distort for sure, but we may have way bigger problems (read on).

Because people always want to have plenty of power and don't want to chance running out, they buy 2,000 watt power amps. I can tell you right now that 2,000 watt power amps probably won't sound noticeably louder than 1,000 watt power amps. Why? One, because of the way they are used. You will get an extra 3dB of headroom from doubling your power to 2,000 watts, but that's only a 3db increase. Read on. You'll see that a compressor or limiter can do a lot more good.


If you are a using a 2,000 watt amplifier, let's see how loud we can expect to go with our one speaker with a 90dB sensitivity.

1 watt = 90dB

2 watt = 93dB

4 watt = 96dB

8 watt = 99dB

16 watt = 102dB

32 watt = 105dB

64 watt = 108dB

128 watt = 111dB

256 watts = 114dB

512 watts = 117dB

1024 watts = 120dB

2048 watts = 123dB


Well, it looks like our 2,000 watt power amplifier will handle a tad under 123dB. Well guess what! My research tells me that 120dB (which is an RMS type of sound) is the volume of a “Painfully loud jet plane” .....AND WE WENT AHEAD ADDED 3 MORE dB!! If it we just one hit of a snare drum hitting 123dB and then the rest of the band was still sitting at 117dB or so, the extra headroom would be almost meaningless. Of course, jumping from 1,000 watts to 2,000 watts certain will cost you some $$.

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Comments
  • Comment #1 (Posted by an unknown user)
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    informative
     
  • Comment #2 (Posted by Professor Drew Daniels)
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    Just how much dumb-down can we all absorb until we finally know nothing? As an artist, do you really want your PRODUCT to be made by "recording engineers" who couldn't plug in stereo system to save their lives? More importantly, do you really want to pay your money for some dufus to waste hours and hours of time struggling to find out why he can't get the guitar to play back in stereo because he doesn't even know what stereo is? Better music deserves better recording, and better recording requires learning engineering--with all the physics and the math. Sorry, but there's no shortcut to experience and knowledge except study and experience. If engineering was easy, then everybody would be making good-sounding records. Check and see how many certified "Professional Engineers" there are in your community and you'll soon discover that the P.E. exam is waaaaay harder than passing the bar exam or getting an M.D. degree, and you'll begin to get a sense of just why there are so few Lee Hirschbergs, Tom Dowds and Bill Putnams.
     
  • Comment #3 (Posted by lettuce)
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    nicely written for the beginner, however the novice, or journeyperson/apprentice knows most of this stuff already from his/her instructor and from all the homework that was assigned.
    My question to you is how can you expand the knowlege base that we non-pro engineers need so that we can become entry-level pro engineers?
     
  • Comment #4 (Posted by guitarfiend)
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    I thought this was a good article. I'm a guitarist, not a recording engineer. Not everybody knows how sound frequency works, and a lot of musicians don't care...so this is a great article for a beginner who's just learning (we can't have all the articles geared towards the professional recording engineer...otherwise the beginners would have no way to learn the basics!).
     
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