8.8 PHASOR DIAGRAMS

We have understood a phasor as a complex amplitude of a complex exponential function that varies in time as per ejωt until now. We lend a little more colour to phasors in this section. We are motivated by uniform circular motion that is a part of school Physics. We take up a time-domain signal vS(t) = Vm cosωt u(t) represented by a phasor VS = Vm∠0° and arrive at a geometric interpretation for the phasor.

Concept No. 1 – Consider a line of length Vm with an arrow at the end (instead of a stone at the end of a taut string) rotating at a constant angular velocity of ω rad/s in the counter-clockwise direction. Let the coordinates of the arrow-tip be represented as x(t) and y(t) in the horizontal and vertical directions in a right-handed ...

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