chp36_6 - PHY2061 R. D. Field PHY2060 Review The Complex...

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PHY2061 R. D. Field Department of Physics chp36_6.doc University of Florida Re(z) A z = Ae i ω t Im(z) φ φ = ω ω ω ω t t t Im(z) = Asin ω t Re(z) = Acos ω t The Complex Plane φ i i e z z i z z e z z i z z = = = + = ) Im( ) Re( ) Im( ) Re( ) ( 2 1 cos ) Re( + = = = z z z z x ) ( 2 1 sin ) Im( = = = z z i z z y ) / arctan( x y = = + = zz y x z 2 2 sin cos i e i ± = ± 1 = ± i e 2 2 1 π i e i i ± = ± = Using Complex Numbers to Represent SHM We can use complex
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This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

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