Show that units of #1/sqrt(epsilon_o*mu_o)#= #ms^(-1)# ?
1 Answer
There are many methods by which we can attempt to show the units of
We know that derived unit of farad in SI base units are
As such SI units of permittivity become
Now
Reduced to base SI units of henry is
As such SI units of permeability become
Now we that LHS of equation has units as of
Hence proved.
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We know that by definition
#c-=1/sqrt(epsilon_0 cdotmu_0)#
where#c# is velocity of light in vacuum (free space).
Since units of velocity are
Hence proved