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2) a) Convert currents i₁ = 4cos(60t-/3) (A) and −2√3sin(60rt+n/3) (A) into complex phasors I₁ and I₂ and identify angular frequency of b) We know i₁+i)=Bcos(60rt+6). Find B and ☀ (in radian) with the phasor method c) Complex power is defined as P =|I₁+I₂ |² (R+imL) where I₁ and I are phasors in a) and R=807 (2) and L=1 (H). Compute P in polar form

2) a) Convert currents i₁ = 4cos(60t-/3) (A) and −2√3sin(60rt+n/3) (A) into complex phasors I₁ and I₂ and identify angular frequency of b) We know i₁+i)=Bcos(60rt+6). Find B and ☀ (in radian) with the phasor method c) Complex power is defined as P =|I₁+I₂ |² (R+imL) where I₁ and I are phasors in a) and R=807 (2) and L=1 (H). Compute P in polar form

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

**Problem 2** a) Convert currents \( i_1 = 4\cos(60\pi t - \pi/3) \, (A) \) and \( -2\sqrt{3}\sin(60\pi t + \pi/3) \, (A) \) into complex phasors \( I_1 \) and \( I_2 \) and identify angular frequency \( \omega \). b) We know \( i_1 + i_2 = B\cos(60\pi t + \phi) \). Find \( B \) and \( \phi \) (in radians) with the phasor method. c) Complex power is defined as \( P = |I_1 + I_2|^2 \left(R + i\omega L\right) \) where \( I_1 \) and \( I_2 \) are phasors in a) and \( R = 80\pi \, (\Omega) \) and \( L = 1 \, (H) \). Compute \( P \) in polar form.
Transcribed Image Text:**Problem 2** a) Convert currents \( i_1 = 4\cos(60\pi t - \pi/3) \, (A) \) and \( -2\sqrt{3}\sin(60\pi t + \pi/3) \, (A) \) into complex phasors \( I_1 \) and \( I_2 \) and identify angular frequency \( \omega \). b) We know \( i_1 + i_2 = B\cos(60\pi t + \phi) \). Find \( B \) and \( \phi \) (in radians) with the phasor method. c) Complex power is defined as \( P = |I_1 + I_2|^2 \left(R + i\omega L\right) \) where \( I_1 \) and \( I_2 \) are phasors in a) and \( R = 80\pi \, (\Omega) \) and \( L = 1 \, (H) \). Compute \( P \) in polar form.
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