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Physics · L4 · Choosing Biot–Savart vs Ampere's Law

Decision path for computing a magnetic field: exploit symmetry with Ampere's law, or integrate directly with the Biot–Savart law.

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🧲 Need magnetic field B from a current distributionEnough symmetry for a constant-B Amperian loop?Apply Ampere's law:∮B·dL = μ₀I_encApply Biot–Savart law:integrate dB = (μ₀/4π) I dL × r̂ / r²B determined directlyYes (wire, solenoid, toroid)No (finite loop, arbitrary shape)

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