Review test 4 p260 sum

Review test 4 p260 sum - Exam 3 Topics Faradays Law Self...

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2 P31 - Exam 3 Topics • Faraday’s Law • Self Inductance Energy Stored in Inductor/Magnetic Field • Circuits LR Circuits Undriven (R)LC Circuits Driven RLC Circuits • Displacement Current • Poynting Vector NO: B Materials, Transformers, Mutual Inductance, EM Waves
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3 P31 - General Exam Suggestions • You should be able to complete every problem If you are confused, ask If it seems too hard, you aren’t thinking enough Look for hints in other problems If you are doing math, you’re doing too much • Read directions completely (before & after) • Write down what you know before starting • Draw pictures, define (label) variables Make sure that unknowns drop out of solution • Don’t forget units!
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4 P31 - Maxwell’s Equations 0 00 0 (Gauss's Law) (Faraday's Law) 0 (Magnetic Gauss's Law) (Ampere-Maxwell Law) ( (Lorentz force Law) in S B C S E enc C Q d d d dt d d dI dt q ε µµ ⋅= Φ Φ + =+ × ∫∫ EA Es BA Bs FE v B ) G G G G G G G G GG G G w v w v
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5 P31 - Gauss’s Law: 0 S in q d ε ⋅= ∫∫ EA G G w Spherical Symmetry Cylindrical Symmetry Planar Symmetry Gaussian Pillbox
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6 P31 - = 2 Current Sheets Ampere’s Law: . = enc I d 0 µ s B G G I B B X X X X X X X X X X X X X X X X X X X X X X X X X X X X B Long Circular Symmetry (Infinite) Current Sheet Solenoid Torus/Coax
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7 P31 - Faraday’s Law of Induction () cos B d dN dt d NB A θ ε Φ =⋅ = =− Es G G v Induced EMF is in direction that opposes the change in flux that caused it Lenz’s Law: Ramp B Rotate area in field Moving bar, entering field
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