Multiple Choice
The following phasor diagram shows an arbitrary phasor during its first rotation. Assuming that it begins with an angle of 0° , if the phasor took 0.027 s to get to its current position, what is the angular frequency of the phasor?
31. Alternating Current
Phasors
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An AC source oscillates with an angular frequency of 120 s-1 . If the initial voltage phasor is shown in the following phasor diagram, draw the voltage phasor after 0.01 s. (Select the correct absolute angle below of the phasor's location below after you have drawn it.)
A
8.3×10−5 radians
B
1.2 radians
C
2π radians
D
15 radians
Verified step by step guidance1
Identify the initial position of the voltage phasor. From the image, the phasor is aligned along the positive x-axis, indicating an initial angle of 0 radians.
Understand that the angular frequency (ω) is given as 120 s⁻¹. This means the phasor rotates at this rate in radians per second.
Calculate the angle through which the phasor will rotate after a time interval of 0.01 seconds. Use the formula θ = ωt, where θ is the angle in radians, ω is the angular frequency, and t is the time.
Substitute the given values into the formula: θ = 120 s⁻¹ × 0.01 s.
Determine the new position of the phasor by adding the calculated angle to the initial angle. Since the initial angle is 0 radians, the new angle will be the same as the calculated angle from the previous step.
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