1- Determine the phase delay in milliseconds between the following two waveforms: v = 60 sin (1800t + 20°) i =1.2 sin (1800t - 20°)

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1- Determine the phase delay in milliseconds between the following two waveforms:
v = 60 sin (1800t + 20°)
i =1.2 sin (1800t - 20°)
2- For the oscilloscope display of Fig.
a. Determine the period of each waveform.
b. Determine the frequency of each waveform.
c. Find the rms value of each waveform.
Vertical sensitivity = 0.5 V/div.
Horizontal sensitivity = 1 ms/div.
3- Find the phase relationship between the waveforms of each set:
a. v = 2 cos (wt - 30°)
i = 5 sin(wt + 60°)
b. v = -1 sin(wt + 20°)
i = 10 sin(wt - 70°)
c. v = - 4 cos(wt + 90°)
i = - 2 sin(wt +10°)
4- Find the rms values of the following sinusoidal waveforms:
a. v = 20 sin 754t
b. v = 7.07 sin 377t
c. i = 0.006 sin (400t + 20°)
d. i = 16 x 10-3 sin (377t - 10°)
5- For the system of Fig, find the sinusoidal expression for the unknown voltage
va if
ein = 60 sin(377t + 20°)
V½ = 20 sin 377t
1. convert the voltages Va and ein to the phasor domain.
2. Using KVL, Find the voltage Va= ein - Vb .
3. Sketch the curves for ein, Va and Vb .
4. Sketch Ein, Va and Vb in the complex plane.
Transcribed Image Text:Homework 1- Determine the phase delay in milliseconds between the following two waveforms: v = 60 sin (1800t + 20°) i =1.2 sin (1800t - 20°) 2- For the oscilloscope display of Fig. a. Determine the period of each waveform. b. Determine the frequency of each waveform. c. Find the rms value of each waveform. Vertical sensitivity = 0.5 V/div. Horizontal sensitivity = 1 ms/div. 3- Find the phase relationship between the waveforms of each set: a. v = 2 cos (wt - 30°) i = 5 sin(wt + 60°) b. v = -1 sin(wt + 20°) i = 10 sin(wt - 70°) c. v = - 4 cos(wt + 90°) i = - 2 sin(wt +10°) 4- Find the rms values of the following sinusoidal waveforms: a. v = 20 sin 754t b. v = 7.07 sin 377t c. i = 0.006 sin (400t + 20°) d. i = 16 x 10-3 sin (377t - 10°) 5- For the system of Fig, find the sinusoidal expression for the unknown voltage va if ein = 60 sin(377t + 20°) V½ = 20 sin 377t 1. convert the voltages Va and ein to the phasor domain. 2. Using KVL, Find the voltage Va= ein - Vb . 3. Sketch the curves for ein, Va and Vb . 4. Sketch Ein, Va and Vb in the complex plane.
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