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Homework Help: Units of Coulomb's Constant

  1. Dec 17, 2011 #1
    Coulomb's constant, which appears in Coulomb's Law, contains ε0.

    The units of ε0 being F/m

    Are the units of Coulomb's constant therefore F/m ?

    Thank you.
     
  2. jcsd
  3. Dec 17, 2011 #2

    PeterO

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    I would have thought F-1m since ke = 1/(4∏εo)
     
  4. Dec 17, 2011 #3

    ehild

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    Yes, but farad can be derived from the basic units of the SI system, so the unit of ε0 is A2s4kg-1m-3 in terms of the basic SI units.

    ehild
     
  5. Dec 17, 2011 #4

    ehild

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    For parallel plate capacitors, C=εA/d (A is the surface of the plates, d is the distance between them) so farad=[ε]m.

    ehild
     
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