Problem # 5 Consider the sinusoidal voltage and current shown below: v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A. a) b) c) Plot v(t) and i(t) and determine if the current is leading or lagging the voltage. Find the Phasor representations of both voltage and current. Determine the rms values of both voltage and current.
Problem # 5 Consider the sinusoidal voltage and current shown below: v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A. a) b) c) Plot v(t) and i(t) and determine if the current is leading or lagging the voltage. Find the Phasor representations of both voltage and current. Determine the rms values of both voltage and current.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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![Problem # 5
Consider the sinusoidal voltage and current shown below:
v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A.
Plot v(t) and i(t) and determine if the current is leading or lagging the voltage.
Find the Phasor representations of both voltage and current.
Determine the rms values of both voltage and current.
Determine the apparent power, S, P, Q, pf, and r.f.
a)
b)
c)
d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15c5ec76-8bab-480b-9121-367c8408675d%2Ff55564fe-49b3-44d2-9e7b-6ee56cc56081%2Fbuuu6cc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem # 5
Consider the sinusoidal voltage and current shown below:
v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A.
Plot v(t) and i(t) and determine if the current is leading or lagging the voltage.
Find the Phasor representations of both voltage and current.
Determine the rms values of both voltage and current.
Determine the apparent power, S, P, Q, pf, and r.f.
a)
b)
c)
d)
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Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
According to question:
a)
The expression of voltage in sine form is written as
The plot of v(t) for time interval -0.02<t<0.02 is drawn as
The plot of i(t) for time interval -0.02<t<0.02 is drawn as
Now checking whether current is lagging or leading is given below:
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