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Decibel Scale | Mechanical waves and sound | Physics | Khan Academy



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We often use this logarithmic scale to describe the intensity of sound. Created by David SantoPietro.

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50 thoughts on “Decibel Scale | Mechanical waves and sound | Physics | Khan Academy
  1. I am a bit curious since the formula is written out as :
    10log(I/10^-12)
    which is equivalent to
    10log(I) + 120
    Normally I would think that addition is simpler than division involving powers of 10, but maybe there's another reason.

    In the example where the friends are yelling where I = 10^-5 W/m^2
    You just take the -5 from the exponent, multiply by 10 and get -50 and add to 120 to get 70dB.
    You don't have to do division by powers of 10 with negative exponents, even though it is easy once you learn it.

  2. I actually didn't like the equations at first, I do now. If my math teachers were like this, I certainly would've loved math. I'll be studying mechanical engineering and really wanted to backout. But because of this, no. It's interesting.

  3. I am 31 years old with BSc. in electronics engineering and 8+ years of experience in wireless communications and this is truly the most brief and beautiful explanation of decibels I have ever come across.

  4. I wish I had this when I was in college. Now I am field engineer and I have to refer to the basics every now and then. I deal in optics mostly.

  5. If we’re thinking in terms of output, the dynamic range of an ADC is determined by the resolution. The lowest non-zero output value is 1, and the highest output value is (2N–1), where N is the number of bits in the generated digital word. Thus, a 14-bit ADC has a dynamic output range of (214–1) =16383. This could also be expressed as 84.3 dB or 14 stops. "How they get this 84.3dB? " how to solve this problem huhuhuhuh please help

  6. Man… im a brazillian guy and i have a poor english, very basic… And you was capable of teach me about the fucking LOG and decibels
    You are amazing… thanks

  7. Thanks David Santopietro. Very good video. One word of encouragement. Try to be respectful of your viewers beliefs when tempted to use God's name as a flippant expletive. Thanks again. Bless you.

  8. This formula is for sound intensity, but for measuring how loud a sound is at a specific point (e.g. our ear or a microphone) wouldn't we use the formula for Sound Pressure Level (SPL), which would be measured in Pascals instead of w/m^2? I would also love to hear an explanation of why in some contexts it's assumed +3dB is a doubling of volume but in other contexts people use +6dB? Still, this video is extremely well done.

  9. I can't seem to find an inexpensive method for testing a ~150db car audio system. So far the devices require hundreds of dollars. Someone ought to invent a tiny microphone that plugs into a smartphone via 3.5 mm jack that reads up to 150 dbs and uses a particular db/spl app which tops out at 130db for the free trial version and jumps up to a higher db by upgrading to the Pro version of the app.. the microphone would need a price point of around $50. They'd sell like hotcakes IF it's accurate!

  10. …by far…thee best, clearest, simple well-defined explanation i have EVER encountered…i DEFINITELY got it……whew …finally …thank you SO much….!!

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