# lecture23 - Magnetic Induction Magnetic m tic flux agne...

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Magnetic Induction Magnetic Induction - magnetic flux - induced emf - Faraday’s Law and Lenz’s Law

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Magnetic Flux Magnetic Flux Flux through a surfaceS: B = Φ S dA B - a scalar ; units, 1 T·m 2 = 1 Weber (Wb) - represents “number of magnetic field lines through a surface S” ( dA is the“area vector”, perpendicular to thesurface.)
Magnetic Flux Magnetic Flux Flux through a closed surfaceS: 0 dA B = S This is likeGauss’ law, but for magnetism. However, it states that: - the number of magnetic field lines that enter a volume enclosed by a surface S must equal thenumber that leave thevolume - and it implies that magnetic monopoles do not exist

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Faraday’s Law: Faraday’s Law: When the external magnetic flux Φ B through a closed conducting loop with oneturn changes , theemf induced in the closed loop is: dt d B Φ - = ε (for a loop with N turns: ) dt d N B Φ - = ε Notethat Φ B changes if: 1) B changes 2) thearea of the circuit changes ( dA ) 3) theorientation of thecircuit changes ( B•dA ) ( 29 θ ε cos BA dt d - =
Lenz’s Law (the negative sign)

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