The dimension of 
is equal to that of: ( 
Vacuum permeability and 
Vacuum permittivity)
Text Solution
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The dimension of 
can be understood as follows:
Vacuum permeability ( 
) and vacuum permittivity ( 
) relate to the properties of inductance and capacitance, respectively, in a vacuum. We start by considering the formulas for inductance 
and capacitance 
:
Inductance ( 
) is given by:
Capacitance ( 
) is given by:
From these, the ratio 
can be expressed as 
:
Taking the square root of this ratio, we have:
This simplifies further to considering the relationship between time constant ( 
) and resistance ( 
):
Thus, by taking the square root:
In conclusion, the dimension of 
is equivalent to the dimension of resistance, 
.
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