# Lecture 6 - Faradays Law (III) UCF d E dl = dt C d B dS =...

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CF Faraday’s Law (III) UCF t d t d ϕ = = ∫∫ dS B dl 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 B ++ --- V ind d V d = + + + 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 Inductor Operation 1 (Like Generator) UCF B ext i i R R B ext --- V ind + V ind i i + + + - turns B from i N turns Note: B is total magnetic flux density. i from external B B B = B from i i from ext i from ext ϕ = = = ∫∫ ∫∫ ∫∫ dS B dS B dS B dt di L dt d N dt d dt d N dt d N dt d N dt d N V ind = = = = ext i from ext i from ext λ i i d d t V d S S S i is induced current: R i ind = Dynamical equation: dt t d L N i L R dt di ) ( ext =

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CF Inductor Operation 2 (Like Motor) UCF B i i R R --- V indd + V ind ~ ~ + - V s V s + - i + + + - N turns B i Note: i is total current or actual current in operation V V V V i ind s ind s = =
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## Lecture 6 - Faradays Law (III) UCF d E dl = dt C d B dS =...

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