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Units for Magnetic Pressure

  1. Feb 9, 2013 #1
    The formula for magnetic pressure is

    P[itex]_{B}[/itex] = [itex]\frac{B^{2}}{2\mu_{0}}[/itex]

    Now, the units on the left hand side are clearly Pascals, but the units on the RHS are T^2 H^-1 m.

    I've been trying and I can't see how to make the units on the RHS equal the units on the LHS. does anyone have any insight?
     
  2. jcsd
  3. Feb 10, 2013 #2

    Simon Bridge

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    Use dimensional analysis.
    I'll start you off:

    ##[P]=[F][A]^{-1}## since P=F/A
    ##=[F][qv]^{-1}## since F=qvB.

    ##[\mu_0]=[m^2 kg C^{-2}]##
     
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