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1)

 In terms of potential difference V, electric current i, Permittivity  ϵ0 , permeability  μ0 and speed of light c, the dimensionally correct equations is /are


A) μ0I2=ϵ0V2

B) ϵ0I=μ0I

C) I=ϵ0cV

D) μ0cI=ϵ0V

Answer:

Option A,C

Explanation:

 (A)  Energy of inductor

                    12LI2=12μ0N2AlI2e

 Energy of capacitor

                  12CV2=12ϵ0AdV2μ0AlI2            and

ϵ0AdV2     have same dimensions.

  So, μ0I2   and    ϵ0V2    have same dimensions.

  (C)     Q=CVQt=CVt

                                  I=ϵ0AlVt

   Alt   have unit of speed

   so,                      I=ϵ0cV