# Lec16 - Faradays Law(I UCF UCF d E dl = dt C B dS S Electromotive Force(emf V emf = E dl dl Total Magnetic Flux = S C Wb(Webers B dS Faradays

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CF Faraday’s Law (I) UCF ∫∫ = S C dS dl B E dt d Electromotive Force (emf) ------ V l f Total Magnetic Flux ------ Wb (Webers) dl = C E emf ∫∫ = Φ dS B S

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CF Faraday’s Law (II) UCF = dS dl B E t d l ∫∫ S C dt C dl E B • The emf generated around a closed contour C is lated to the time rate of change of the total related to the time rate of change of the total magnetic flux through the open surface S bounded by that contour.
CF Faraday’s Law (III) UCF t d t d Φ = = ∫∫ dS dl B E • Lenz’s Law: The emf induced in the contour is of a polarity dt dt S C that tends to generate an induced current whose magnetic flux tends to oppose any change in the original magnetic flux. gg g i B ++ --- V ind d V d Φ = B + + + dt ind

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CF Faraday’s Law (IV) UCF Top view --- + B B + + + V ind - V ind N turns dt d N V ind Φ =
CF Induced Voltage from a Moving Bar UCF B B + V d + V ind l - ind v - v Blx BA = = Φ 0 x Blv dt dx Bl dt d V ind = = Φ =

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CF Magnetic Force – Biot-Savart’s Law UCF B l B dl F × = i d dF idl B F F=Bli l i
CF Linear Machine – Case 1 (Motor, No Load) UCF B t=0 i + - V ind F ind l V B

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## This note was uploaded on 11/20/2011 for the course EEL 3740 taught by Professor Wu during the Fall '11 term at University of Central Florida.

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Lec16 - Faradays Law(I UCF UCF d E dl = dt C B dS S Electromotive Force(emf V emf = E dl dl Total Magnetic Flux = S C Wb(Webers B dS Faradays

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