which of the following combinations has the dimension of electrical resistance (E0 is the permittivity of vacuum and u0 is the permeability of vacuum)?
Answers (2)
30th Oct, 2020
Hi Ayushman
sqrt(u0/E0) . This combination has the dimension of electrical resistance.
because of the folloeing reason
As,
[ε0]=M−1L−3T4A2
[μ0]=M L T−2A−2
[R]=M L2 T−3A−2
Hope It Helps to you.
Thank you!
Comments (0)
30th Oct, 2020
Dear student,
Your question is incomplete, because you haven't mentioned the options or combinations.
But still as Eo is permittivity of vacumm, then it's dimension is - ( [T^4] [A^2] ) / [M] [L^3]
And as Uo is permeability of vaccum, then it's dimension is - ( [M] [L] ) / [A^2] [T^2]
Now, electrical resistance has dimensions of - ( [M] [L^2] ) / [T^3] [A^2]
So, the perfect combination for getting dimension of electrical resistance is - √(Uo / Eo)
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