Part of JMAG-01 — Magnetic Effects: Biot-Savart & Ampere's Law

Application of Ampere's Law — Step by Step

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Steps: (1) Identify the symmetry (cylindrical for wires, rectangular for solenoids). (2) Choose an Amperian loop along which BB is either constant or zero. (3) Evaluate Bdl\oint \vec{B} \cdot d\vec{l}: for constant BB parallel to dldl, this is BlBl. For BdlB \perp dl: contribution is zero. (4) Find IenclosedI_{\text{enclosed}} by the loop. (5) Apply Bl=μ0IencBl = \mu_0 I_{\text{enc}} and solve for BB. Common Amperian loops: circle for wires, rectangle for solenoids.

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