Learning Goal: To understand the use of phasors in analyzing aparallel AC circuit. Phasor diagrams, or simply
Question:
Learning Goal: To understand the use of phasors in analyzing aparallel AC circuit. Phasor diagrams, or simply phasors, provide aconvenient graphical way of representing the quantities that changewith time along with cos(?t+?). This makes them useful foranalyzing AC circuits with their inherent phase shifts betweenvoltage and current. If a quantity I(t) changes with time asI(t)=I0cos(?t), a phasor is a vector whose length represents theamplitude I0 (see the diagram). This vector is assumed to rotatecounterclockwise with angular speed ?; that way, the horizontalcomponent of the vector represents the actual value I(t) at anygiven moment. (Figure 1) In this problem, you will use the phasorapproach to analyze an AC circuit. In answering the questions ofthis problem, keep the following in mind: For a resistor, thecurrent and the voltage are always in phase. For an inductor, thecurrent lags the voltage by ?2. For a capacitor, the current leadsthe voltage by ?2.