3. Find the phasor transform of (A) v = 170 cos(377t – 40°) V (B) i = 10 sin(1000t + 20°)A (C) i = [5 cos(@t + 36.87°) + 10 cos(@t – 53.13°)]A (D) v = [300 cos(20000nt + 45° – 100 sin(20000nt + 30°)] mV

3. Find the phasor transform of (A) v = 170 cos(377t – 40°) V (B) i = 10 sin(1000t + 20°)A (C) i = [5 cos(@t + 36.87°) + 10 cos(@t – 53.13°)]A (D) v = [300 cos(20000nt + 45° – 100 sin(20000nt + 30°)] mV

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

Section: Chapter Questions

Problem 2.6P: (a) Transform v(t)=75cos(377t15) to phasor form. Comment on whether =377 appears in your answer. (b)...

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Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).

Question

3. Find the phasor transform of
(A) v = 170 cos(377t – 40°) V
(B) i = 10 sin(1000t + 20°)A
(C) i = [5 cos(@t + 36.87°) + 10 cos(@t – 53.13°)]A
(D) v = [300 cos(20000nt + 45° – 100 sin(20000nt + 30°)] mV

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