Mutual inductance M between two coils relates the EMF induced in coil 2 to the current in coil 1 as:
AEMF₂ = − M (dI₁/dt)
BEMF₂ = M I₁ directly
CEMF₂ = M / I₁ inverse
DEMF₂ = − M I₁ t scaled
Answer & Solution
Correct answer: A. EMF₂ = − M (dI₁/dt)
1. M_21 = Φ_21 / I_1, and Φ_21 = ∫ B₁ · dA₂.
2. By Faraday: EMF in coil 2 = − dΦ_21 / dt = − M (dI₁/dt).
3. Mutual inductance is symmetric: M_21 = M_12 = M.
_Source: syllabus Physics Ch 6 §6.9 Mutual Inductance_
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