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lecture15

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

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Chapter 32: Maxwell’s Equations; Magnetism of Matter Ahlam Al-Rawi Wednesday, July 31, 2007

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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 0 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

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Maxwell’s Equations Name Equation Gauss’ Law for Electricity I ~ E · d ~ A = q encl 0 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 0 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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