2 significant figures

Discussion in 'General Electronics Chat' started by KL7AJ, Sep 4, 2016.

  1. KL7AJ

    Thread Starter AAC Fanatic!

    Nov 4, 2008
    2,040
    287
    When I was in college and calculators were first beginning to replace slide rules, one of my math professors said, "A calculator will give you the wrong answer to 15 decimal places."

    After a few years of trying to teach electronics students back-of-the-envelope calculations of electronics problems, to little avail....I began confiscating calculators on the first day of class...only allowing them AFTER they'd demonstrated they could perform simple calculations.

    In addition, I emphasize the point that unless you're building instrumentation, resistor, capacitor, and inductor values are only to 2 significant figures....even the 5 percent ones. It makes NO sense to work out calculations to 5 decimal places, when no components are accurate to more than 2.

    When a student asks...."Should we use 3.14159 or 3.1416 for PI?" I answer....How about 3??!! That's as close as you'll need to pass ANY FCC exam....as well as create a functioning circuit.

    We need to start teaching students again some general "feel" type of problems before we try plucking eyebrows on a termite. An electronics student should be able to look at a coil and tell if it's 1 henry or 1 microhenry.

    Stay tuned
     
    Bernard likes this.
  2. jpanhalt

    AAC Fanatic!

    Jan 18, 2008
    5,699
    907
    Agreed, and same notion applies to areas other than electronics. If you don't understand the problem, significant figures don't matter. The classic rope around the Earth problem is just one example.

    John
     
  3. joeyd999

    AAC Fanatic!

    Jun 6, 2011
    2,691
    2,756
    My work usually involves 5 or more decimal places. When you get into precision digital instrumentation, π=3 doesn't cut it.
     
  4. #12

    Expert

    Nov 30, 2010
    16,338
    6,823
    The only 2 significant figures in my life were my wives.:D

    But seriously, I do 1% analog designs. 3 digits are almost enough.
     
  5. KeepItSimpleStupid

    Well-Known Member

    Mar 4, 2014
    1,147
    204
    In some cases, 3e18 and 6e18 is essentially the same number. Zero doesn't exist sometimes.
     
  6. wayneh

    Expert

    Sep 9, 2010
    12,151
    3,058
    Since back of the napkin calculations may now be done in a spreadsheet, I found value in keeping precision until the end. For instance it gives a way to check if two alternative ways to calculate the same thing actually do give the identical result. No worries about potential rounding errors causing an apparent discrepancy.

    I also used precise values for constants because I could look at the work years later and know if it was mine. A 3.14 was a sure sign it wasn't my work.
     
Loading...