A. For the following sinusoids, determine which one leads and by how much a. v(t) = 10cos (4t – 60°) and i(t) = 6sin (4t + 50°) b. v,(t) = 4cos (377t + 10°) and v2(t) = -20cos(377t) c. x(t) = 13 cos(2t) + 5 sin(2t) and y(t) = 15cos (2t – 11.8°) B. Obtain the sinusoids corresponding to each of the following phasors: a. V, = 60415°, w = 1 b. V2 = 6+ j8, w = 40 C. I = 2.8e 3, w = 377 d. I2 = -0.5 – j1.2, w = 103 %3D Note: If not stated, assume a sine function

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
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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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Please answer a and b.
Note: If not stated, assume a sine function.

A. For the following sinusoids, determine which one leads and by how much
a. v(t) = 10cos (4t – 60°) and i(t) = 6sin (4t + 50°)
b. v:(t) = 4cos (377t + 10°) and v2(t) = -20cos(377t)
C. x(t) = 13 cos(2t) + 5 sin(2t) and y(t) = 15cos (2t – 11.8°)
B. Obtain the sinusoids corresponding to each of the following phasors:
a. V, = 60415°, w = 1
b. V2 = 6+ j8, w = 40
C. I, = 2.8e 3, w = 377
d. 12 = -0.5 – j1.2, w = 103
Note: If not stated, assume a sine function
Transcribed Image Text:A. For the following sinusoids, determine which one leads and by how much a. v(t) = 10cos (4t – 60°) and i(t) = 6sin (4t + 50°) b. v:(t) = 4cos (377t + 10°) and v2(t) = -20cos(377t) C. x(t) = 13 cos(2t) + 5 sin(2t) and y(t) = 15cos (2t – 11.8°) B. Obtain the sinusoids corresponding to each of the following phasors: a. V, = 60415°, w = 1 b. V2 = 6+ j8, w = 40 C. I, = 2.8e 3, w = 377 d. 12 = -0.5 – j1.2, w = 103 Note: If not stated, assume a sine function
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