Chapter 58 of 2364 min read

Biot–Savart and Ampère's laws

Why this is asked: Ampère's law is exact for any current distribution but only practically solvable when the geometry is symmetric enough to pull B outside the integral — for anything less symmetric, Biot–Savart's element-by-element integration is what actually gets used.

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Test yourself

•A tightly wound 100-turn coil of radius 10 cm carries a current of 7 A. The magnitude of the magnetic field at the centre of the coil is (take the permeability of free space as $4 π \times 1 0^{- 7}$ SI units):

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