GATE ECE 1995 PYQ | Mutual Inductance & Coefficient of Coupling | Network basics

In this video, we solve a classic GATE ECE problem on magnetically coupled inductors connected in series — covering the full concept and step-by-step solution. 🔍 What You'll Learn: ✅ What mutual inductance is and why it appears in series-coupled coils ✅ How to calculate M from the coefficient of coupling k ✅ Series Aiding vs Series Opposing — formulas and physical meaning ✅ How to identify the correct answer from given options 📐 Problem: Two 2H inductance coils are connected in series and magnetically coupled with coefficient of coupling k = 0.1. Find the total inductance. 🧮 Key Formulas Used: M = k√(L₁L₂) L_aiding = L₁ + L₂ + 2M L_opposing = L₁ + L₂ − 2M 📌 Answer: 4.4 H (Series Aiding) | Option D #GATE2027 #GATEECE #MutualInductance #MagneticallyCoupled #NetworkTheory #CircuitAnalysis #GATEConceptualHub #InductorInSeries #CoefficientOfCoupling