In electromagnetic theory, the electric and magnetic phenomena are related to each other. Therefore, the dimensions of electric and magnetic quantities must also be related to each other. In the questions below, E andB stand for dimensions of electric and magnetic fields respectively, while ε0 andμ0 stand for dimensions of the permittivity and permeability of free space respectively. L andT are dimensions of length and time respectively. All the quantities are given in SI units. The relation between E andB isThe relation between ε0 and μ0 is
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answer is [OBJECT OBJECT], [OBJECT OBJECT].
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Detailed Solution
We have EC=B⇒EL−1T1=B⇒E=BLT-1We have ∴C2=1μ0ε0⇒L2T−2=1μ0ε0⇒μ0=ε0−1L−2T2