Review_33&34

Review_33&34 - Faraday’s Law for Stationary Loops...

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Chapter 33 & 34 Review
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Chapter 33: The Magnetic Field
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d ! s ! E ( ! r ) d ! s d ! s ! B ( ! r ) 0 = ! E ( ! r ) d ! s " ! B ( ! r ) d ! s " = μ 0 I
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! E ( ! r ) = q 1 4 πε 0 r 2 ˆ r Gauss’ Law: ! E d ! A " = Q in ε 0 0 = ! E ( ! r ) d ! s " Coulombs Law implies Gauss’ Law and conservative E-field But also, Gauss’ law and conservative E-field imply Coulombs law ! E ( ! r ) = q 1 4 0 r 2 ˆ r
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! B ( ! r ) = μ 0 q 1 4 π r 2 ! v × ˆ r Gauss’ Law: ! B d ! A " = 0 ! B ( ! r ) d ! s = " 0 I through Biot-Savart Law implies Gauss’ Law and Amperes Law But also, Gauss’ law and Ampere’s Law imply the Biot - Savart law Ampere’s Law ! B ( ! r ) = 0 q 1 4 r 2 ! v × ˆ r
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Chapter 34: Faraday’s Law of Induction
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loop ! E + ! v × ! B ( ) " d ! S = - d dt Φ = d dt ! B d ! A Area Faraday’s Law for Moving Loops
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loop ! E + ! v × ! B ( ) " d ! S = - d dt Φ = d dt ! B d ! A Area Faraday’s Law for Moving Loops
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Unformatted text preview: Faraday’s Law for Stationary Loops loop ! E ⋅ d ! S " ∫ == − ∂ ! B ∂ t ⋅ d ! A Area ∫ + I V 2 V 1 Foolproof sign convention for two terminal devices 1. Label current going in one terminal (your choice). 2. Define voltage to be potential at that terminal wrt the other terminal V= V 2 -V 1 3. Then no minus signs V = RI V = L dI dt I = C dV dt P = VI Power to device KVL Loop Contribution to voltage sum = +V...
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This note was uploaded on 12/28/2011 for the course PHYSICS 270 taught by Professor Drake during the Fall '08 term at Maryland.

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Review_33&34 - Faraday’s Law for Stationary Loops...

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