Units for Magnetic Pressure

terryphi

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?

Simon Bridge

Use dimensional analysis.
I'll start you off:

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

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

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terryphi	Units for Magnetic Pressure Tweet 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?

Simon Bridge Recognitions: Homework Help	Use dimensional analysis. I'll start you off: ##[P]=[F][A]^{-1}## since P=F/A ##[B]=[F][qv]^{-1}## since F=qvB. ##[\mu_0]=[m^2 kg C^{-2}]##