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Unformatted text preview: Northeastern Illinois University c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 1 / 31 Electricity & Magnetsim I Vector Calculus I Greg Anderson Department of Physics & Astronomy Northeastern Illinois University Spring 2010 Northeastern Illinois University Overview c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 2 / 31 Maxwells Equations Vector Algebra Rotation of Vectors Northeastern Illinois University Outline Outline Maxwells Equations Vector Algebra Rotation of Vectors c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 3 / 31 Maxwells Equations Vector Algebra Definitions Addition & Multiplication Vector Product Identities Geometric Interpretation Transformations of Vectors Vector Differential Operators Gradient, Curl, Divergence Identities Northeastern Illinois University Maxwells Equations Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Vector Algebra Rotation of Vectors c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 4 / 31 Northeastern Illinois University Electromagnetism Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Vector Algebra Rotation of Vectors c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 5 / 31 With the exception gravity, almost every force that you experience in everyday life is electromagnetic in origin. EM forces bind electrons and nuclei into atoms. EM forces bind atoms into molecules. O H H EM forces bind atoms & molecules into solids. Electric forces are produced by electric charges. Northeastern Illinois University Maxwells Equations in Vacuum c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 6 / 31 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 Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Vector Algebra Rotation of Vectors c circlecopyrt 20042010 G. Anderson Electricity & Magnetism I slide 7 / 31 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 Vector Algebra Outline Maxwells Equations Vector Algebra Scalars & Vectors Vectors Vector Addition Active Learning Vector Subtraction Vector Multiplication Dot Product Dot Product II Active Learning Determinants Cross Product...
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This document was uploaded on 02/10/2010.
 Spring '09
 Magnetism

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