What are the units for magnetic pressure?

[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?

 

[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}]##