Magnetic Field in Natural Units: Expressing \hbar

[Rajini]

Dear PF members,
In terms of natural units the reduced Planck's constant ($$\hbar$$) is 1 ML²T^-1. Now in this terminology how a magnetic field can be expressed?
thanks for your reply,
rajini

 

[malawi_glenn]

what has this to do with quantum physics?

http://en.wikipedia.org/wiki/Natural_units

You are asking what the units of the magnetic field (SI units: Tesla) would have in Natural Units? http://en.wikipedia.org/wiki/Tesla_(unit ) ??

 

[Rajini]

from wiki i can't find any information on the natural unit of magnetic field!
since h bar is related to QM---i posted here..
rajini

 

[malawi_glenn]

but the QUESTION is related to magnetic field and units...

Now why can't you find the units yourself? Have you tried?

Hint: look at wiki article for the different formulations of Tesla.

Hint: What is SI units of Electric Charge? (Q in natural units).

 

[Rajini]

still i am confused..
is it 1.9^-18 C..pls. explain..
thanks

 

[malawi_glenn]

Tesla = kg/(C*s) {SI units} = Mass/(Charge * Time) = M/(Q*T) {natural units}

 

[Rajini]

So if h bar =1 ML^2T^-1; then Magnetic field = (1 or ?) MT^-1Q^-1.

 

[malawi_glenn]

Magnetic field is not a physical CONSTANT ...

 

[Rajini]

So one Tesla = 5.33178088*10¹⁷ M/T

 

[malawi_glenn]

you forgot the Q...

But I don't think that 1M = 1kg, and 1T = 1second etc... that is not dictated in the WIKI article on natural units.

In order to obtain numerical values, you have to specify WHICH natural unit choice to employ. e.g. Planck units or other-

The table in the wiki article is just giving the Dimensions, not the numerical values, since such assignment needs further definitions.

Example
Using "Rajini" natural units, where 1Q = 1.6E-19C, 1M = 1kg, and 1T = 1second,

1Tesla then equals 6.24E21 [M/(T*Q)]