2. Express the following functions as a cosine: a. 10 sin(wt +30°) b. -40 sin(wt - 70°) c. 25 sin(wt -15°) d. 5 sin(wt +230°) 3. For the two signals Va(t) and Va(t) below, draw the phasor diagram for both signals, determine which one leads and by how much: Va(t) = 12 cos(4t-80°) Volts Vb (t) = 10 sin(4t + 20°) Volts 4. Evaluate the following complex numbers, express the results in polar form. a. 3 +4j b. -1- 1j c. -12 + 15j d. 5 - 4j 5. Find the phasors corresponding to each of the following signals: a. v(t) = 12 cos (4t- 200°) Volts b. i(t) = -50 sin(100t + 30°) Amps c. i(t) = -45 cos(6t + 40°) Amps d. v(t) = 8 sin (200t 170°) Volts

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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2. Express the following functions as a cosine:
a. 10 sin(wt +30°)
b. -40 sin(wt - 70°)
c. 25 sin(wt 15°)
d. 5 sin(wt +230°)
-
3. For the two signals Va(t) and Va(t) below, draw the phasor diagram for both signals, then
determine which one leads and by how much:
Va(t) = 12 cos(4t-80°) Volts
Vb (t) = 10 sin(4t + 20°) Volts
complex numbers, express the results in polar form.
4. Evaluate the following
a. 3 + 4j
b. -11j
c. -12 + 15j
d. 5 - 4j
5. Find the phasors corresponding to each of the following signals:
a. v(t) = 12 cos (4t- 200°) Volts
b. i(t) = -50 sin(100t +30°) Amps
c. i(t) = -45 cos(6t+ 40°) Amps
d. v(t) = 8 sin (200t - 170°) Volts
Transcribed Image Text:2. Express the following functions as a cosine: a. 10 sin(wt +30°) b. -40 sin(wt - 70°) c. 25 sin(wt 15°) d. 5 sin(wt +230°) - 3. For the two signals Va(t) and Va(t) below, draw the phasor diagram for both signals, then determine which one leads and by how much: Va(t) = 12 cos(4t-80°) Volts Vb (t) = 10 sin(4t + 20°) Volts complex numbers, express the results in polar form. 4. Evaluate the following a. 3 + 4j b. -11j c. -12 + 15j d. 5 - 4j 5. Find the phasors corresponding to each of the following signals: a. v(t) = 12 cos (4t- 200°) Volts b. i(t) = -50 sin(100t +30°) Amps c. i(t) = -45 cos(6t+ 40°) Amps d. v(t) = 8 sin (200t - 170°) Volts
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