To understand the use of phasors in analyzing a parallel AC

Last updated: 6/15/2023

To understand the use of phasors in analyzing a parallel AC circuit Phasor diagrams or simply phasors provide a convenient graphical way of representing the quantities that change with time along with cos wt p This makes them useful for analyzing AC circuits with their inherent phase shifts between voltage and current If a quantity I t changes with time as I t Io cos wt a phasor is a vector whose length represents the amplitude Io see the diagram This vector is assumed to rotate counterclockwise with angular speed w that way the horizontal component of the vector represents the actual value I t at any given moment Figure 1 In this problem you will use the phasor approach to analyze an AC circuit In answering the questions of this problem keep the following in mind For a resistor the current and the voltage are always in phase For an inductor the current lags the voltage by For a capacitor the current leads the voltage by Figure R 3 of 3 Part C through the voltage source Find the amplitude of the current Express your answer in terms of the magnitudes of the individual currents I and I2 View Available Hint s Io Submit Part D tan p AE What is the tangent of the phase angle between the voltage and the current through the voltage source Express tan in terms of I and I2 View Available Hint s Submit V AZO