Phys 0175 - Lecture 24

# Phys 0175 - Lecture 24 - Lecture 24(Mar 16 2009 Magnetic...

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Unformatted text preview: Lecture 24 (Mar. 16, 2009): Magnetic Fields due to Currents (cont’d): ► Illustrative examples (long straight wire; circular arc; current loop) ► The importance of a single current loop ► Force between parallel current-carrying conductors ► Ampere’s Law ► Applications of Ampere’s Law (inside/outside solid conductor) Apply the Biot-Savart Law to find the magnetic field produced at C by a current in a circular arc of wire: 2 2 2 sin sin90 4 4 4 4 4 C C i ds i ds dB r R i i iRd B d R R R φ φ μ μ θ π π μ μ μ φ φ φ π π π = = = = = ∫ ∫ 4 C i B R μ φ π = Find the direction of B by using the right hand rule Special case: complete circular loop when =2 4 2 C C i i B B R R μ φ μ φ π π = ⇒ = A single current loop is the most fundamental source of a magnetic field (electrons in orbit around a nucleus). Note that a single current loop has both a N and a S pole. That is why they are inseparable. The magnetic field produced by a single loop of wire. It resembles the magnetic field around a bar magnet N S What is the magnetic field produced by a current loop of radius a away from the center of the circle?...
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## This note was uploaded on 04/06/2009 for the course PHYS 0175 taught by Professor Koehler during the Spring '08 term at Pittsburgh.

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Phys 0175 - Lecture 24 - Lecture 24(Mar 16 2009 Magnetic...

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