What are the units for magnetic pressure?

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 4K views
terryphi
Messages
57
Reaction score
0
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?
 
Physics news on Phys.org
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}]##