lecture15

Fundamentals of Physics, (Chapters 21- 44) (Volume 2)

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Unformatted text preview: Chapter 32: Maxwell’s Equations; Magnetism of Matter Ahlam Al-Rawi Wednesday, July 31, 2007 Outline I Gauss’ Law for Magnetic Fields I Maxwell’s Equations I Sample Problem I Types of Magnetic Materials I Diamagnetism I Paramagnetism I Ferromagnetism I Problems Gauss’ Law for Magnetic Fields The simplest magnetic structure that exists is the magnetic dipole. Magnetic monopoles do not exist (as far as we know). We know how to apply Gauss’ Law to the electric field: Φ E = I ~ E · d ~ A = q encl In a closed loop, where Φ B is changing, we get an induced ~ E : Maxwell’s Law of Induction: I ~ B · d ~ s = μ 0 0 d Φ E dt Maxwell’s Equations Name Equation Gauss’ Law for Electricity I ~ E · d ~ A = q encl Gauss’ Law for Magnetism I ~ B · d ~ A = 0 Faraday’s Law I ~ E · d ~ s =- d Φ B dt Ampere-Maxwell Law I ~ B · d ~ s =- μ 0 0 d Φ E dt + μ i encl Sample Problem #1 A parallel-plate capacitor with circular plates at radius R is being charged as in the figure....
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lecture15 - Chapter 32: Maxwell’s Equations; Magnetism of...

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