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Question

A solenoid with mutual inductance 0.15 H has a current change of 8 A/s in the primary coil. What is the
induced emf in the secondary coil?

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Explanation

**Solenoid carries steady current** second coil experiences emf only when current in solenoid changes because dΦ/dt ≠0 only when I changes, steady current gives constant flux, no induction, illustrating Faraday's law requires changing flux, not static field. ε = M (dI/dt) = 0.15 × 8 = 1.2 V . 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 1.2 V follows, reflecting Faraday's law and Lenz's opposition.

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