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# Lec15 - Lecture 15-1 Magnetic field of a Straight...

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Lecture 15-1 Two Parallel Currents (Review) 1 2 2 2 2 2 1 dF I dl B I dl B 0 1 1 2 I B R 0 1 2 2 2 2 2 I I F dF dl R 2 0 1 2 1 2 1 2 F I I F L R L 0 0 2 2 4 I R I B R Magnetic field of a Straight Current (Review) Infinite straight current

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Lecture 15-2 Parallel Currents Continued I I (a) (b) R I B b I B a 0 0 2 2 ( / 2) 2 b I B R I R 0 a B
Lecture 15-3 Physics 241 Question 1 October 18, 2011 Four long straight wires, each carrying a current I are perpendicular to the plane of this drawing, and form a square. What is the direction of the net magnetic field at the center? a) to the right b) to the left c) upward d) downward e) the magnetic field is zero

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Lecture 15-4 Magnetic Flux 2 cos B BA B nA B S B ndA B i B 1 Wb = 1 T m 2 0 S B ndA Gauss’s Law for Magnetism over closed surface
Lecture 15-5 Gauss’s Law for Magnetic Field The net magnetic flux through any closed surface is zero Gauss’s Law for Elecrtic Field 0 Mnet n S B ndA B dA 0 enclos E ed Q E ndA

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Lecture 15-6 6 Ampere’s Law is Where the integral is carried out around an Amperian loop and i enc is the current enclosed by the loop An example of Ampere’s Law 0 enc B ds i 0 1 2 3 B ds i i i 0 3 4 ids r dB r Biot-Savart Law 1 2 3 enc i i i i i B 0 1 2 ( ) i i Ampere’s Law in Magnetostatics
Lecture 15-7 PHYS241 Question 2 October 18, 2011 Three currents I 1 , I 2 , and I 3

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