Converting TA/m to Gauss/EMU & 4π Constant

[asdf1]

for the permeabilty of space constant, how do you change the units from TA/m to gauss/emu? or for what unit does that constant equal 4pi?

 

[Astronuc]

The permeabilty of 'free' space, $\mu$ = B/H,

so simply convert B and H from MKSA to esu/emu units.

For Magnetic Induction (B), 1 Wb/m² = 10⁴gauss, and
for Magnetic Field Intensity (H), 1 A-turn/m = 4$\pi$x10^-3oersted

In free space $\mu_o$ = 4$\pi$ x 10^-7 henry/m.

See -- http://www.its.caltech.edu/~culick/Roschke.pdf

 

[asdf1]

so it equals 4pi esu/emu ?

 

[asdf1]

$\mu_o$=[4 x 10-7 W/Am]*[10^4 (gauss*m^2)/W]*[10^3 (emu/cm^3)]=4pi emu*m/Acm^3?