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Maxwell’s Equations Fields, Patterns, Maxwell’s Equations and Begin Induction/Faraday’s Law 2049 SCALE-UP

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MondayWednesdayFridaySaturday 14 Chapter 22 Gauss (Read rest of chapter) 16 (Read rest of chapter) 2 WebAssigns Chapter 22 Gauss 18QUIZ Chapter 22 Lentz & More 21 Chapter 23 Faraday 23QUIZ Chapter 23 Faraday HOLIDAY 28 Chapter 23 Faraday 30 Chapter 24 EM 2 Chapter 24 EM Optional Exam (22-24) 3 FINAL EXAM

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THE EVAN SHOW

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“Curly Field” No diverging source Diverging Field Point Sources Electrostatic Fields Magnetic Fields

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Let’s apply this to the gap of a capacitor.

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i i CHARGING OR DISCHARGING …. HOW CAN CURRENT FLOW THROUGH THE GAP In a FIELD description??

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I=0

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CoilCoil GalvanometerGalvanometer

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Integral over a SURFACE

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A

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Observation Meter Deflects There must be an emf around the loops! Variables Direction Polarity Pitch Velocity

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Aluminum Pipe

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BB N S Induced Current N REPEL!! must There must be an Electric Field in the metal that is pushing the current!!

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You said that there is a conducting loop. You said that there is therefore a current induced around the loop if the flux through the loop changes. But the beginning and end point of the loop are the same so how can there be a voltage difference around the loop? Or a current??? ‘tis a puzzlement!

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DID I LIE??

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Electric fields that are created by static charges must start on a (+) charge and end on a (–) charge as I said previously. Electric Fields created by changing magnetic fields (NON-Coulombic) can actually be shaped in loops.

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Because you said that an emf is a voltage so if I put a voltmeter from one point on the loop around to the same point, I will get ZERO volts, won’t I? How can there be a current??

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Is the WORK that an external agent has to do to move a unit charge from one point to another. But we also have (neglecting the sign): ss

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E Conductor x x x x x x x

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E Conductor x x x x x x x A AThe emf BZero CCan’t tell

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Michael Faraday (1791-1867) MINUS????

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Q: Which way does E point? A: The way that you don’t want it to point! (Lenz’s Law). Lenz’s Law Explains the (-) sign!

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In this case, 2 coils, each have the SAME emf so we add.. Ohm’s Law still works, so

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Faraday’s Experiments ????

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Insert Magnet into Coil

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Remove Coil from Field Region

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That’s Strange ….. These two coils are perpendicular to each other

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All Involve Changing The Magnetic Flux through the Loops

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Remember the Definition of TOTAL ELECTRIC FLUX through a CLOSED surface:

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Magnetic Flux Applies to an OPEN SURFACE only. “Quantity” of magnetism that goes through a surface. surface

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In the figure below a 120-turn coil of radius 1.8 cm and resistance 6.8 is coaxial with a solenoid with 209 turns/cm and diameter 3.2 cm. The solenoid current drops from 1.5 A to zero in time interval Δ t = 25 ms. What current is induced in the coil during Δ t? 0.0224 A

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DONE

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Faradays Law of Induction A changing magnetic field induces an electric field. The induced electric field causes a current to flow in a conductor.

Faradays Law of Induction A changing magnetic field induces an electric field. The induced electric field causes a current to flow in a conductor.

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