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1. Given the voltage v(t) = 120cos (314t+) V, determine the frequency of the voltage in Hertz and the phase angle in degrees. 2. Three branch currents in a network are known to be as enumerated below, determine the phase angles by which i₁(t) leads i₂(t) and i₁ (t) leads iz(t). 4₁ (t) = 2sin(377t +45") A 1₂ (t) = 0.5co s(377t + 10") A iz(t) = -0.25si n(377t +60¹) A

1. Given the voltage v(t) = 120cos (314t+) V, determine the frequency of the voltage in Hertz and the phase angle in degrees. 2. Three branch currents in a network are known to be as enumerated below, determine the phase angles by which i₁(t) leads i₂(t) and i₁ (t) leads iz(t). 4₁ (t) = 2sin(377t +45") A 1₂ (t) = 0.5co s(377t + 10") A iz(t) = -0.25si n(377t +60¹) A

Introductory Circuit Analysis (13th Edition)
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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Assessment 1. Given the voltage v(t) = 120cos (314t+)V, determine the frequency of the voltage in Hertz and the phase angle in degrees. 2. Three branch currents in a network are known to be as enumerated below, determine the phase angles by which i₁(t) leads i(t) and in (t) leads iz(t). i₁(t) = 2sin(377t +45°) A 1₂ (t) = 0.5co s(377t +10°) A iz(t) = -0.25si n(377t +60¹) A 3. Evaluate the following complex number a. (30< 60° +204-20°) b. 302-30° +(4-j3)(3+j4)(4− j5)* c. [(5+j2)(-1+j4) - 5260*]* d. (10 +j5+3/40)/(−3+j4) + 10/30° +j5 45 | Page 5. Transform the following sinusoids to phasors a. i(t) = 6cos (50t - 40°) A b. v(t) = 12cos (377t -30°) V c. i(t) = -4sin (30t - 50¹) A d. v(t) = 18sin (2513t - 25°) A CMPE 20044
Transcribed Image Text:Assessment 1. Given the voltage v(t) = 120cos (314t+)V, determine the frequency of the voltage in Hertz and the phase angle in degrees. 2. Three branch currents in a network are known to be as enumerated below, determine the phase angles by which i₁(t) leads i(t) and in (t) leads iz(t). i₁(t) = 2sin(377t +45°) A 1₂ (t) = 0.5co s(377t +10°) A iz(t) = -0.25si n(377t +60¹) A 3. Evaluate the following complex number a. (30< 60° +204-20°) b. 302-30° +(4-j3)(3+j4)(4− j5)* c. [(5+j2)(-1+j4) - 5260*]* d. (10 +j5+3/40)/(−3+j4) + 10/30° +j5 45 | Page 5. Transform the following sinusoids to phasors a. i(t) = 6cos (50t - 40°) A b. v(t) = 12cos (377t -30°) V c. i(t) = -4sin (30t - 50¹) A d. v(t) = 18sin (2513t - 25°) A CMPE 20044
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