Units for Magnetic Pressure

1. Feb 9, 2013

terryphi

The formula for magnetic pressure is

P$_{B}$ = $\frac{B^{2}}{2\mu_{0}}$

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. Feb 10, 2013

Simon Bridge

Use dimensional analysis.
I'll start you off:

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

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