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Question

A coil of self-inductance 0.7 H has its current increased from 2 A to 5 A in 0.3 s. What is the
magnitude of the induced emf?

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Explanation

**Uniform field change** in coil produces emf proportional to area and turns, for circular coil radius 0.16 m area πr²=0.0804 m², B 0.12 T deformed to wire in 0.6 s, ΔΦ=0.12×0.0804=0.00965 Wb, e=0.00965/0.6=0.0161 V, illustrating area change also induces emf. ε = L (Δ I/Δ t) . Δ I = 5 - 2 = 3 A , Δ t = 0.3 s . ε = 0.7 × (3/0.3) = 0.7 × 10 = 7 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

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