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Unformatted text preview: Northeastern Illinois University c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 1 / 34 Electricity & Magnetsim I Vector Calculus III Greg Anderson Department of Physics & Astronomy Northeastern Illinois University Spring 2010 Northeastern Illinois University Overview c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 2 / 34 Maxwells Equations Div & Gausss Thm. Curl & Stokes Thm. More Vector Calculus Curvilinear Coordinates Northeastern Illinois University Previously Previously Outline Maxwells Equations Div & Gausss Thm. Curl & Stokes Thm. More Vector Calculus Curvilinear Coordinates c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 3 / 34 Lecture 02: Vector Calculus II Northeastern Illinois University Outline Previously Outline Maxwells Equations Div & Gausss Thm. Curl & Stokes Thm. More Vector Calculus Curvilinear Coordinates c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 4 / 34 Integral Theorems Gausss Theorem Stokess Theorem More Identities The Laplacian Curvilinear Coordinates General Derivations Cylindrical Coordinates Spherical Coordinates Northeastern Illinois University Maxwells Equations Previously Outline Maxwells Equations Maxwells Equations In Pictures Div & Gausss Thm. Curl & Stokes Thm. More Vector Calculus Curvilinear Coordinates c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 5 / 34 Northeastern Illinois University Maxwells Equations in Vacuum c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 6 / 34 Maxwells Equation in vacuum (Differential form) E = 1 , B = 0 E = B t , B = ( J + E t ) Maxwells Equations in vacuum (Integral form) contintegraltext S E d A = 1 integraltext V d 3 x ( x ) , contintegraltext S B d A = 0 contintegraltext C E d = t integraltext B d A , contintegraltext C B d = integraltext S ( J + E t ) d A Northeastern Illinois University Maxwells Equations in Vacuum Previously Outline Maxwells Equations Maxwells Equations In Pictures Div & Gausss Thm. Curl & Stokes Thm. More Vector Calculus Curvilinear Coordinates c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 7 / 34 Q Gausss Law E = 1 Q No magnetic monopoles: B = 0 Faradays Law: e.g. , increasing B E E = H E d s = d B dt AmpereMaxwell Law: e.g. , I , increasing E B H B d s = ( I + d E dt ) Northeastern Illinois University Divergence & Gausss Theorem Previously Outline Maxwells Equations Div & Gausss Thm....
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 Spring '09
 Magnetism

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