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]