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

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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 surface S: 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 the surface.)
Magnetic Flux Magnetic Flux Flux through a closed surface S: 0 dA B = S This is like Gauss’ 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 the number that leave the volume - 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 one turn changes , the emf induced in the closed loop is: dt d B Φ - = ε (for a loop with N turns: ) dt d N B Φ - = Note that Φ B changes if: 1) B 2) the area of the circuit changes ( dA ) 3) the orientation B•dA ) ( 29 θ cos BA dt d - =
Lenz’s Law (the negative sign) Lenz’s Law (the negative sign) (for the direction

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## This note was uploaded on 05/02/2010 for the course PHYSICS 1E03 taught by Professor Jopko during the Spring '08 term at McMaster University.

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lecture23 - Magnetic Induction - m tic flux agne - induce e...

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