Phys 0175 - Lecture 22

Phys 0175 - Lecture 22 - Lecture 22 (Mar. 4, 2009): Chapter...

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Lecture 22 (Mar. 4, 2009): Chapter 28: Magnetic Field, Magnetic Forces Conclude examples of magnetic force on a current-carrying conductor Force and torque exerted by the magnetic field on a current loop Illustrative example: DC motor Magnetic dipole moment Illustrative examples Magnetic flux
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Magnetic force on a current-carrying conductor sin B B F i L B F i L B θ = ⋅ × = r r r r r r Current = charges in motion Therefore one would expect a magnetic field to exert a force on a conductor that carries current d F q v B = ⋅ × r r r magnetic force on single charge q magnetic force on length L carrying current i
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Illustrative Example 21.2: The diagram shows a wire bent into the shape of an inverted “V” that’s lying in the x-y plane in a uniform magnetic field. Each leg of the V is L=2.00m long and makes an angle θ=60.0º with the x-axis. A current i =2.00A flows through the wire in the indicated direction. Determine the net magnetic force on the wire (in unit vector notation) if the magnetic field is (a) B=4.0T in the positive x-direction, (b) B=4.0T in the positive y-direction, and (c) B=4.0T in the positive z-direction. 1 1 1 2 2 2 1 2 1 2 ˆ ˆ ˆ ˆ cos sin B x y x y x x y y F iL B L L i L j L L i L j L L L L L L θ = × = + = + = = = - = r r r r r
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( 29 ( 29 ( 29 ( 29 ( 29 1 1 1 1 2 2 2 2 1 1 2 ˆ ( ) ˆ ˆ ˆ
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Phys 0175 - Lecture 22 - Lecture 22 (Mar. 4, 2009): Chapter...

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