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

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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 01 1 2 I B R 0 1 2 2 2 2 2 II F dF dl R  2 0 1 2 1 21 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
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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  Gauss’s Law for Magnetism over closed surface
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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 iB 0 1 2 () ii Ampere’s Law in Magnetostatics
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Lecture 15-7 PHYS241 – Question 2 – October 18, 2011 Three currents I 1 , I 2 , and I 3 are directed perpendicular to the plane of this page as shown.
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Lec15 - Lecture 15-1 Magnetic field of a Straight Current...

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