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Unit conversion (m^2, nm^2)

  1. Oct 9, 2013 #1
    I have a real simple question. I'm doing a problem that involves Coulomb's law. My charge separation is 5 nanomeers, and the charges are each elementary.

    So, for the equation, I have:

    (9E9 (N*m^2/C^2) *(1.6E-19)^2 (C^2) ) / (5 nm)^2

    Units are bolded. The denominator has to be converted to meters to it can cancel out with the units of K. Do I have to square the x10^-9 multiplier as well? Does the denominator end up as 2.5E-8 m^2 or does it end up as 2.5E-17 m^2
     
  2. jcsd
  3. Oct 9, 2013 #2

    CompuChip

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    (5 nm)² = (5 nm) x (5 nm) = (5 x 10-9 m) x (5 x 10-9 m) = ... ?
     
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