Given a charge q , current I and permeability of vacuum μ 0 . Which of the following quantity has the dimension of momentum?

Question

Given a charge q , current I and permeability of vacuum μ 0 ​ . Which of the following quantity has the dimension of momentum?

TestHub · Accepted Answer

​ Q = AT I = A μ 0 ​ = MLT − 2 A − 2 P = Q x μ 0 y ​ I z = [ AT ] x [ MLT − 2 A − 2 ] y [ A ] z MLT − 1 = M y L y T x − 2 y A − 2 y + z + x Now; y = 1 x − 2 y = − 1 − 2 y + z = 0 ∴ x = y = z = 1 ​

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