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

Self-Inductance of a Solenoid — Factors

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L=μ0n2Al=μ0N2A/lL = \mu_0 n^2 Al = \mu_0 N^2 A/l. Factors affecting LL: (1) N2N^2 — doubling turns quadruples LL. (2) AA — larger cross-section increases LL. (3) 1/l1/l — shorter solenoid (same NN) increases LL. (4) Core material — with a ferromagnetic core, L=μrμ0N2A/lL = \mu_r \mu_0 N^2 A/l (enhanced by μr\mu_r which can be 1000+). Self-inductance does not depend on the current — it's a geometric property. Analogy with capacitance: C=ε0A/dC = \varepsilon_0 A/d (geometry only), L=μ0n2VL = \mu_0 n^2 V (geometry only).

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