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 .
Part A
Phasors are helpful in determining the values of current and voltage in complex AC circuits.
Consider this phasor diagram:
The diagram describes a circuit that contains two elements connected in parallel to an AC source. The vector labeled corresponds to the voltage across both elements of the circuit. Based on the diagram, what elements can the circuit contain?
1) two resistors
2) two inductors
3) two capacitors
4) a capacitor and a resistor
5) an inductor and a resistor
6) a capacitor and an inductor
Part B
Find the amplitude
of the current through the voltage source.
Express your answer in terms of the magnitudes of the individual currents