Find the phasors for the current and for the voltages of the circuit shown in Figure P5.38. Construct a phasor diagram showing Vs, I, VR, and VL. What is the phase relationship between Vs and I?
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The figure shows a parallel RLC circuit. The instantaneous voltages ( and RMS voltages) across each of the three circuit elements are the same, and each is in phase with the current in the resistor. The currents in C and L or lag the current in the resistor as shown in the current phasor diagram.
Show that the RMS current delivered by the source is
find the amplitude of the current i0 through the voltage source.
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 .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 , a phasor is a vector whose length represents the amplitude Io(see the diagram). This vector is assumed to rotate counterclockwise with angular speed ; that way, the horizontal component of the vector represents the actual value I(t) at any given moment.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 .
