Assessment1. Given the voltage v(t) = 120cos (314t+)V, determine the frequency of the voltage inHertz and the phase angle in degrees.2. Three branch currents in a network are known to be as enumerated below, determine thephase angles by which i₁(t) leads i(t) and in (t) leads iz(t).i₁(t) = 2sin(377t +45°) A1₂ (t) = 0.5co s(377t +10°) Aiz(t) = -0.25si n(377t +60¹) A3. Evaluate the following complex numbera. (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° +j545 | Page5. Transform the following sinusoids to phasorsa. i(t) = 6cos (50t - 40°) Ab. v(t) = 12cos (377t -30°) Vc. i(t) = -4sin (30t - 50¹) Ad. v(t) = 18sin (2513t - 25°) ACMPE 20044

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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)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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1- Given the voltage v(t) = 120 cos (314t + /4) 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 i(1) = 2 sin (377t + 45°) A iz(t) = 0.5 cos (377t + 10°) A is(t) = - 0.25 sin (377t + 60°) A Determine the phase angles by which a) i(t) leads iz(t) b) i(t) leads i3(t). [Answer: a) i leads iz by -55°; b) i leads i3 by 165°]
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