1.

Two coils are having self-inductance of 5 mH and 10 mH and a mutual inductance of 0.5 mH in a differential connection. The equivalent inductance of the combination is ___________(a) 14 mH(b) 5.85 mH(c) 6 mH(d) 6.15 mHThe question was asked by my school principal while I was bunking the class.My doubt is from Advanced Problems on Magnetically Coupled Circuits in portion Resonance & Magnetically Coupled Circuit of Network Theory

Answer»

The correct option is (a) 14 mH

The BEST I can explain: When 2 coils are connected in series, then EFFECTIVE inductance,

LEFF = L1 + L2 ± 2M

For this CASE, LEFF = L1 + L2 – 2M

= 5 + 10 – 2 × 0.5

= 15 – 1

= 14 mH.



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