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Unformatted text preview: nvenience. It has no physical significance. If the sinusoid is given in sine form as v2 (t ) V2 sin(t ) , then we first convert it to cosine function first as v2 (t ) V2 sin(t ) V2 cos(t 900 ) . Its phasor would then be V2 V2 900 . The same applies to sinusoidal currents as well. Euler’s formula Euler’s identity corresponds to the polar form of complex numbers to its rectangular form. 81 EE1002 Introduction to Circuits and Systems e j cos j sin cos Re(e j )
cos(t ) Re(e j (t ) ) Vm cos(t ) Re(Vm e j (t ) )
Vm e j (t ) Vm e j e jt Phasor related to a rotating vector Vm e j (t ) represents a vector in the complex plane whose magnitude is Vm and whose angle with the real axis is ( t ). The angle changes with time or in other words the vector keeps rotating at the angular speed of rad/sec. and its angle at t=0 was . The projection of the vector along the real axis will be the original sinusoidal function Vm cos(t ) . The phasor for cos(t ) is Vm e j which can be thought of as a snap shot of the rot...
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This document was uploaded on 01/20/2014.
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