Q. 14.6( 18 Votes )

Find the dimensional formula of ϵ0.

Answer :

We know that,


Electrostatic force,


Where


Єo is the permittivity of vacuum


q1, q2 is the magnitude of the charges on the charge particles


r is the distance between the two charge particles.


Taking the dimensions,



Note that Charge = Current × Time. Hence, its dimensional formula is


Note that 4π is a dimensionless constant. Note that . Hence, . Also, r is just distance or length. Thus,



Rearranging, we get



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