Practice question
Question
A coil of self-inductance 1.2 H has its current increased from 2 A to 6 A in 0.4 s. What is the
magnitude of the induced emf?
Explanation
**Energy stored in inductor** U =½ L I², L inductance, I current, energy in magnetic field, density u = B²/(2μ₀), B=μ₀ n I inside solenoid, U = (B²/2μ₀)×volume, illustrating equivalence of circuit and field energy. ε = L (Δ I/Δ t) . Δ I = 6 - 2 = 4 A , Δ t = 0.4 s . ε = 1.2 × (4/0.4) = 1.2 × 10 = 12 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 =
Discussion
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