Take μ₀ = 4π×10⁻⁷ H/m and c = 3×10⁸ m/s. If the impedance of free space is Z₀ = Nπ Ω, find N.

Question

G1 Physics · Accepted Answer

Vacuum impedance is Z₀ = √(μ₀/ε₀). Using c = 1/√(μ₀ε₀), an equivalent form is Z₀ = μ₀c. Therefore, Z₀ = (4π×10⁻⁷)(3×10⁸) = 12π×10¹ = 120π Ω. Hence N = 120.