lecture16 - Physics 2102 Jonathan Dowling Physics 2102...

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Physics 2102 Physics 2102 Lecture 16 Lecture 16 Ampere’s law Ampere’s law Physics 2102 Jonathan Dowling André Marie Ampère (1775 – 1836)
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Given an arbitrary closed surface, the electric flux through it is proportional to the charge enclosed by the surface. q Flux=0! q = × Φ Surface 0 e q A d E r r Ampere’s law: Ampere’s law: Remember Gauss’ law? Remember Gauss’ law?
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Gauss’ law for Magnetism: Gauss’ law for Magnetism: No isolated magnetic poles! The magnetic flux through any closed “Gaussian surface” will be ZERO. This is one of the four “Maxwell’s equations”. = 0 A d B = × 0 e q A d E r r
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loop B ds i μ × = r r ± The circulation of B (the integral of B scalar ds) along an imaginary closed loop is proportional to the net amount of current traversing the loop. i 1 i 2 i 3 ds i 4 ) ( 3 2 1 0 loop i i i s d B - + = × r r Thumb rule for sign; ignore i 4 As was the case for Gauss’ law, if you have a lot of symmetry , knowing the circulation of B allows you to know B. a Second Gauss’ law.
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lecture16 - Physics 2102 Jonathan Dowling Physics 2102...

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