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Given two mutually coupled coils have a total inductance of 1500 mH, the self-inductance of each coils if the coefficient of coupling is 0.2 is ____________(a) 325 mH(b) 255 mH(c) 625 mH(d) 550 mHI had been asked this question during an internship interview.The question is from Advanced Problems on Network Theorems topic in section Useful Theorems in Circuit Analysis of Network Theory

Answer»

Right option is (c) 625 mH

Explanation: We know that, M = k\(\SQRT{L_1 L_2}\)

GIVEN that, LEQ = 1500 mH and k = 0.2

Again, total inductance = L1 + L2 + 2M

Or, 2L + 2kL = 1500 mH

Or, L (2 + 2 X 0.2) = 1500

Or, L = 625 mH.



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