Chapter_22 - Gauss's law Responsible for sections 1-5...

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Gauss’s law Responsible for sections 1-5
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Sources of electric and magnetic fields Maxwell’s equations • Electric charge creates conservative electric field E (Chpts. 21 and 22) • Magnetic monopoles do not exist (Chpt. 29) • Changing magnetic flux creates non-conservative E field (Chpt. 29) • Moving charge and changing electric flux create magnetic field B (Chpts. 27, 28, and 29)
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First Maxwell equation Vector differential operation involving E = charge density/ ε 0
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Solution for a point charge E = kq/r 2 q > 0 r E
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Gauss’s law: Integrate both sides of the first Maxwell equation over an arbitrary closed volume Vector differential operation involving E = charge density/ ε 0
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Gauss’s law Electric flux through an arbitrary closed boundary ( ≡Φ E ) = net charge inside closed boundary/ ε 0
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Define electric flux Φ E Φ E ≡∫ over surface Ecos( θ )dA Φ E ≡∫ over surface E dA θ dA E dA is infinitesimal area over surface dA = area of surface
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Chapter_22 - Gauss's law Responsible for sections 1-5...

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