Question

1. Basic Sinusoidal Single-Phase Circuit Concepts Find the peak value, the RMS value, the frequency, the periodic time, and the phase angle (in degrees, is it in phase, leading or lagging)

of the following alternating quantities: (a) v 90 Sin 400t Volts (b) i 50 Sin(100 t + 0.30 rad) Amperes (c) e = 200 Sin (628.4 t-0.41 rad) Volts Show your solution and summarize your answers using the table shown below. [10pts] A B C RMS Frequency Period Phase Angle in Degrees & Phase Relationship 2. Sinusoidal Waveform Transformation into Phasor Quantities Transform the following time expressions (instantaneous values) of voltage and current to their phasor equivalents; i.e., draw their equivalent phasor diagrams and find the magnitude (in RMS) and direction (in Electrical Degrees). (a) v = 100 Sin (60t +10°) Volts (b) i= 20 Sin (100t -15%) Amps [5pts] [5pts]

Fig: 1