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Chapter 29a

# Chapter 29a - Chapter 29 Magnetic Fields Due to Currents...

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Chapter 29: Magnetic Fields Due to Currents Electromagnetism. Calculating the magnetic field due to a current. Magnetic field due to a current in a long straight wire. Magnetic field due to a current in a circular arc of wire. Force between two parallel currents. October 13, 2009 Ch. 29: Magnetic Fields Due to Currents - Part A 1

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Electromagnetism Electromagnetism is the combined study of electric and magnetic effects. A moving charged particle produces a magnetic field A moving charged particle produces a magnetic field around itself. A current of moving charged particles produces a magnetic field around the current. Gian Domenico Romagnosi (1761-1835), an Italian hil h d ib d l t i t f lt i philosopher, described electric current from a voltaic pile (an early type of battery) deflecting a magnetic needle in an Italian newspaper in 1802. Hans Christian Oersted (1777-1851), a Danish physicist and chemist, noticed that a compass needle deflected from the magnetic north when electric current from a October 13, 2009 Ch. 29: Magnetic Fields Due to Currents - Part A 2 from the magnetic north when electric current from a battery was switched on and off, 1820.
Electromagnetism A d M i A (1775 1836) F h h i i t Andre-Marie Ampere (1775-1836), a French physicist, extended Oersted’s work, one week after hearing about it, and developed the mathematical formula for the magnetic forces between current-carrying wires. Michael Faraday (1791-1867), a British physicist and chemist discovered electromagnetic induction chemist, discovered electromagnetic induction – Faraday’s law, mutual induction, diamagnetism, laws of electrolysis, benzene, invented EM rotary devices,... Named after him: Faraday’s constant, the unit for capacitance Farad. James Clerk Maxwell (1831-1879) a Scottish James Clerk Maxwell (1831-1879), a Scottish theoretical physicist and mathematician; Maxwell’s equations – unified theory of electricity (1873), ti d EM M ll B lt October 13, 2009 Ch. 29: Magnetic Fields Due to Currents - Part A 3 magnetism and EM waves, Maxwell-Boltzmann distribution, first color photograph.

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Calculating the Magnetic Field Due to a Current D i h i fi ld d h i Determine the magnetic field due to the current in a very small section of current-carrying wire. Wire of arbitrary shape carrying Wire of arbitrary shape, carrying current i . Find the magnetic field B at a nearby point P. Divide the wire into differential elements ds define the vector in the ds elements , define the vector in the direction of the current.
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