Voltage, Current, and Frequency Summary

Current Calculations

ELECTRICAL SCIENCE Module 8 Basic AC Reactive Components

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AC GENERATION ANALYSIS Basic AC Theory Example 1: The frequency of a 120 V AC circuit is 60 Hz. Find the following: 1. Angular velocity 2. Angle from reference at 1 msec 3. Induced EMF at that point Solution: 1. w = 2 p f = 2 (3.14) (60 Hz) = 376.8 radians/sec 2. q = wt = (376.8 radian/sec) (.001 sec) = 0.3768 radians 3. e = E_max sin q = (120 V) (sin 0.3768 radians) = (120 V) (0.3679) = 44.15 V Summary AC generation analysis is summarized below. Voltage, Current, and Frequency Summary The following terms relate to the AC cycle: radians/second, the velocity the loop turns; hertz, the number of cycles in one second; period, the time to complete one cycle. Effective value of AC equals effective value of DC. Root mean square (RMS) values equate AC to DC equivalents: - I = 0.707 I_max = Effective Current - E = 0.707 E_max = Effective Voltage - I_av = 0.636 I_max = 0.9 I = Average Current - E_av = 0.636 E_max = 0.9 E = Average Voltage Phase angle is used to compare two wave forms. It references the start, or zero point, of each wave. It compares differences by degrees of rotation. Wave forms with the same start point are "in-phase" while wave forms "out-of-phase" either lead or lag. ES-07 Page 10 Rev. 0

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