Basic Maths and Units and DimensionsHard
Question
In terms of potential difference V, electric current I, permittivity ε0, permeability μ0 and speed of light c, the dimensionally correct equation(s) is(are)
Options
A.μ0I2 = ε0V2
B.μ0I = ε0V
C.μ0I = ε0cV
D.μ0cI = ε0V
Solution
Using C =
we can check the correctness.
(A) μ0I2 = ∈0V2
= R2
R2 = R2 correct
(B) ∈0I = μ0V

= R not correct
(C) I = ∈0cV

correct
(D) μ0CI = ∈0V


∴
= R incorrect
(A) μ0I2 = ∈0V2
R2 = R2 correct
(B) ∈0I = μ0V
(C) I = ∈0cV
(D) μ0CI = ∈0V
∴
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