Lecture_24

# Lecture_24 - Faraday's Law and Motional EMF `Magnetic force...

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‘Magnetic force’ approach: B v q E q F tot ! ! ! ! ! + = ! = vB E L vB emf ! = I Use Faraday law: dt d emf mag ! " = A B mag ! = !" # t Lv B ! = " L vB t emf mag t ! " # = # #\$ = 0 lim I Faraday’s Law and Motional EMF

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dt d emf mag ! " = A n B ˆ ! = " ! ! cos Bwh = " ! t ( ) = Bwh cos " t ( ) ( ) t dt d Bwh dt d emf mag ! cos " = # " = ( ) t Bwh emf ! ! sin = I Faraday’s Law and Generator
dt d emf mag ! " = Two ways to produce curly electric field: 1. Changing B 2. Changing A ( ) A B dt d dt d mag ! = " dt dA B A dt dB ! ! + = Two Ways to Produce Changing Φ

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A bar magnet falls through a long aluminum tube. Consider a circular path around the tube above the falling magnet. What is the direction of dt B d ! ! ? 1) +y (up) 2) –y (down) 3) zero magnitude
A bar magnet falls through a long aluminum tube. What is the direction of magnetic field at the location of the magnet, due to the current in the red loop? 1) +y (up) 2) –y (down) 3) zero magnitude

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Three kinds of electric and magnetic effects on electrons in a wire 1. Coulomb electric field due to surface charges 2. Time-varying magnetic field leads to curly electric fields 3. Magnetic forces if the wire is moving
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