What is the mathematical relationship between the dimensions of [ε0] and [μ0]?

[μ0] = [ε0] [L]² [T]⁻²
[μ0] = [ε0] [L]⁻² [T]²
[μ0] = [ε0]⁻¹ [L]² [T]⁻²
[μ0] = [ε0]⁻¹ [L]⁻² [T]²

Correct answer: [μ0] = [ε0]⁻¹ [L]⁻² [T]²

Solution

The dimension of μ₀ is equal to the inverse of the dimension of ε₀ times the inverse of the square of the dimension of length [L] and the square of the dimension of time [T], which reflects the relationship between the magnetic constant and the electric constant in the context of electromagnetic theory.

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