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Unformatted text preview: Lecture 16 Lecture 161 Two Perpendicular Currents I 1 I 2 F B 1,2 F B 1,3 I 3 B B F B2,1 Lecture 16 Lecture 162 Parallel Currents Continued I I (a) (b) R I B b I B a 2 2(/2) 2 b I B R I R μ π μ π =⋅ = a B = Lecture 16 Lecture 163 Force on a Moving Charge near a Current (a) (b) (c) I q>0 B B B Magnetic Force (c) (a) (b) zero Lecture 16 Lecture 164 Ampere’s Law in Magnetostatics The path integral of the dot product of magnetic field and unit vector along a closed loop, Amperianloop , is proportional to the net current encircled by the loop, t C C C Bdl Bdl I μ = = ∫ ∫ caa i I I • Choosing a direction of integration. • A current is positive if it flows along the RHR normal direction of the Amperian loop, as defined by the direction of integration. BiotSavart’sLaw can be used to derive another relation: Ampere’s Law 1 2 ( ) ii μ − Lecture 16 Lecture 165 Example: Magnetic field of a long wire 2 C Bdl rB I π μ = = ∫ caa i I 2 I B r μ π = outside the wire inside the wire 2 2 2 C Bdl rB r I R π π μ π = = ∫ caa i I 2 2 I B r R μ π = Lecture 16...
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This note was uploaded on 04/07/2008 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue.
 Spring '08
 Wei
 Charge, Current, Force

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