Part of JMAG-02 — Electromagnetic Induction & Lenz's Law

Self-Inductance

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Self-inductance LL quantifies a coil's tendency to oppose changes in its own current. Flux linkage: NΦ=LIN\Phi = LI, so L=NΦ/IL = N\Phi/I. Induced back-EMF: ε=LdIdt\varepsilon = -L\frac{dI}{dt}. Unit: henry (H); 1 H = 1 V·s/A. For a solenoid: L=μ0n2V=μ0n2Al=μ0N2A/lL = \mu_0 n^2 V = \mu_0 n^2 Al = \mu_0 N^2 A/l, where V=AlV = Al is volume. For a toroid: L=μ0N2A/(2πr)L = \mu_0 N^2 A/(2\pi r). Self-inductance depends on geometry and the medium (increases by factor μr\mu_r with a magnetic core). An inductor in a circuit acts like electrical inertia — it opposes rapid changes in current.

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