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#coupled coils

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Two coils are placed close to each other. When the current in one coil is changed, an emf is induced in the other. This

**Mutual inductance calculation** M = e₂/(dI₁/dt), for 200 turns length 0.5 m nearby coil e=0.5 V dI=2 A dt=0.2 s dI/dt=10 A/s, M=0.5/10=0.05 H, depends on geometry, orientation, number of turns, area, separation, coupling coefficient k = M/√(L₁ L₂) ≤1. This is mutual induction, where a changing current in one coil induces an emf in a nearby coil due to the changing magnetic flux linking them. Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L = μ₀ N²A/l, M = e/(dI/dt) and U = ½ L I², result Mutual

Ref: NCERT > Physics Book > Electromagnetic Induction > Mutual Induction and Mutual Inductance