Lecture 16 - Quiz Quiz 3 Is Friday, March 26, 4:30-5:45,...

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uiz 3 Quiz 3 • Is Friday, March 26, 4:30-5:45, CW101-102-103 • Magnetic fields and forces, Ampere’s Law, Biot-Savart law, magnets. • Review will be Wednesday evening, March 24, 7:30 PM, CW102. AS review will be Thursday March 25 6:00PM asley SAS review will be Thursday, March 25, 6:00PM, Pasley Auditorium.
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mpere’s Law refresher Ampere s Law refresher • This is the elegant solution for B-field calculations that requires a high degree of symmetry. Let’s do one more example as a refresher: onsider co- xial cables. An inner wire with r=a carries Consider co axial cables. An inner wire with ra carries a current out of the page. An outer conducting shield with inner radius b and outer radius c carries current I to the page into the page. • Find B everywhere. +I -I
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o- xial cables Co axial cables Everywhere = inside wire(1), between wire and shield(2), inside shield(3), outside everything(4). 1. Ampere Æ 2 π rB 1 = μ 0i enc = μ 0 imr 2 /ma 2 Æ B 1 = μ 0 ir/2 π a 2 . 2. Ampere Æ 2 π rB 2 = μ 0 i enc = μ 0 i Æ B 2 = μ 0 I/2 π r. 3. Ampere Æ 2 π rB 3 = μ 0 i enc = μ 0 (i-i π (r 2 -b 2 )/ π (c 2 -b 2 )) Æ B 3 = μ 0 i(c 2 - 2 (c 2 2 2 r )/(c -b )/2 π r.
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Lecture 16 - Quiz Quiz 3 Is Friday, March 26, 4:30-5:45,...

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