Final Answer:
The voltage phasor is 120∠30° V.
Step-by-step explanation:
In electrical engineering, a voltage phasor is a representation of a sinusoidal voltage that includes both magnitude and phase information. The expression "120∠30° V" signifies a voltage with a magnitude of 120 volts and a phase angle of 30 degrees.
The magnitude, 120 V, indicates the peak value of the sinusoidal voltage waveform, while the phase angle, 30 degrees, specifies the angular displacement of the waveform from a reference axis.
The term "∠" is a shorthand notation used to represent the phasor angle. The angle is measured counterclockwise from the reference axis and indicates the phase relationship between the voltage waveform and a reference waveform, usually a sine or cosine function.
In this context, a positive angle implies a leading relationship, where the voltage waveform is ahead of the reference waveform, while a negative angle indicates a lagging relationship.
In summary, the voltage phasor 120∠30° V provides a concise representation of a sinusoidal voltage, conveying both its amplitude and phase characteristics in a polar form. This information is crucial for analyzing and designing electrical circuits, especially in the context of AC (alternating current) systems where voltages and currents vary sinusoidally over time.