# lecture21 - The Biot The Biot-Savart Law Savart Law(Text...

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Unformatted text preview: The Biot The Biot-Savart Law Savart Law (Text section 30.1) Practice: Chapter 30, problems 1, 3, 5, 7, 9. Sources of B Sources of B B exerts a force on moving charges. But also, moving charges create magnetic fields. Two equivalent ways of calculating B produced by currents: i) Biot-Savart Law: Field of a “current element” ( analagous to a point charge in electrostatics). ii) Ampère’s Law: An integral theorem. I ds Biot and Savart: each “current element” I ds (a very short length ds of wire, carrying current I) produces a field dB throughout space: In reality, the current element is part of a complete circuit, and only the total field due to the entire circuit can be observed. dB Biot Biot-Savart Law Savart Law I I sin iv) 1 iii) ii) current i) 2 θ ∝ ∝ ⊥ ⊥ dB dB r dB dB r θ (out of page) ds r r dB Field produced at a vector distance r by a “current element” I ds : m/A T 10 4 7 o ⋅ × = − π µ ˆ 4 2 o r I r ds dB × = π µ We get the total B by integrating along the wire...
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## This note was uploaded on 12/03/2009 for the course CHEMISTRY 1E03 taught by Professor Britz during the Spring '09 term at McMaster University.

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lecture21 - The Biot The Biot-Savart Law Savart Law(Text...

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