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For 2 coupled inductors LA and LB, their mutual inductance MLALB satisfies ____________(a) MLALB= \(\sqrt{L_A^2 + L_B^2}\)(b) MLALB > \(\frac{(L_A + L_B)}{2}\)(c) MLALB > \(\sqrt{L_A L_B}\)(d) MLALB ≤ \(\sqrt{L_A L_B}\)I had been asked this question in exam.The above asked question is from Advanced Problems on Magnetically Coupled Circuits in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

The CORRECT CHOICE is (d) MLALB ≤ \(\sqrt{L_A L_B}\)

The best explanation: M = K \(\sqrt{L_A L_B}\)

Or, K = \(\frac{M}{\sqrt{L_A L_B}}\)

∴ K≤1

∴ \(\frac{M}{\sqrt{L_A L_B}}\) ≤ 1

Or, M ≤ \(\frac{M}{\sqrt{L_A L_B}}\).



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