A solenoid has 200 turns and length 0.5 m. If the current changes from 2 A to 4 A in 0.2 s in a nearby coil, inducing an
**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 (Δ I/Δ t) . Δ I = 4 - 2 = 2 A , Δ t = 0.2 s , ε = 0.5 V . M = (ε/(Δ I/Δ t)) = (0.5/(2/0.2)) = (0.5/10) = 0.05 H . Using Φ = B A cosθ, e = -N dΦ/dt = -N A dB/dt = B l v = N B A ω sinωt, L = μ₀
Ref: NCERT > Physics Book > Electromagnetic Induction > Mutual Induction and Mutual Inductance
