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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 II 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 Tensor Algebra Rotation of Vectors Grad & Div Curl & Stokes Thm. More Vector Calculus Northeastern Illinois University Outline Outline Maxwells Equations Tensor Algebra Rotation of Vectors Grad & Div Curl & Stokes Thm. More Vector Calculus c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 3 / 34 Recap. Vectors Transformations of Scalars, Vectors & Tensors Vector Differential Operators Gradient Divergence Curl Integral Theorems Gausss Theorem Stokes Theorem Northeastern Illinois University Maxwells Equations Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Tensor Algebra Rotation of Vectors Grad & Div Curl & Stokes Thm. More Vector Calculus c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 4 / 34 Northeastern Illinois University Electromagnetism Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Tensor Algebra Rotation of Vectors Grad & Div Curl & Stokes Thm. More Vector Calculus c circlecopyrt 20042009 G. Anderson Electricity & Magnetism I slide 5 / 34 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 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 Outline Maxwells Equations Electromagnetism Maxwells Equations In Pictures Tensor Algebra Rotation of Vectors Grad & Div Curl & Stokes Thm. More Vector Calculus 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 Tensor Algebra...
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 Spring '09
 Magnetism

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