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Lecture20 - Lecture 20 Chapter 21 Magnetic Force Hall...

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1 Lecture 20 Chapter 21. Magnetic Force 4/3/11 2 A flow of charge carriers creates a current. If the current is placed in a magnetic field, the carriers would experience a force. negative carrier case positive carrier case Hall Effect v B E ???? + - V >0 Hall Effect h v B E >0 + - V >0 v B E <0 + - V <0 Hall Effect for Opposite Charges B v q F m × =
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2 What is the magnitude of the Hall effect in a metal? Monovalent metals: n is the same as # of atoms per m 3 Some metals: n is larger than # of atoms per m 3 Hall Effect in a Metal B=1T 5mm 0.1mm I=20A What is V Hall for the shown copper ribbon? n Cu =8.4 . 10 28 m 3 What is potential difference along 5 mm of copper ribbon to sustain current 20 A? Cu = 6 . 10 7 (A/m 2 )/(V/m 2 ) Exercise Metal is in static equilibrium: but E 0 inside! What is V ? Currents Due to Magnetic Forces Static equilibrium: vB E = vBL EL V = = Δ How much force do we need to apply to keep the bar moving at constant speed?
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