# 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.

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