(b) Two AC signals, v₁ (t) and v₂ (t) are given as follows: v₁ (t) = -10 cos(100t - 30°) V v₂ (t) = 20 sin(100t + 130°) V (i) Sketch the phasor diagram of V₁ and V₂. (ii) State the phase relation between V₁ and V₂ (which one lag another). (iii) Determine v3 (t) = v₁ (t) + v₂(t) using phasor method. (iv) Sketch v3 (t) in time domain.

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 2.3MCQ: If a phasor representation of a current is given by I=70.745A, it is equivalent to a. 100e/45 b....
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(b) Two AC signals, v₁ (t) and v₂ (t) are given as follows:
v₁ (t) = -10 cos(100t - 30°) V
v₂ (t) = 20 sin(100t +130°) V
(i) Sketch the phasor diagram of V₂ and V₂.
(ii)
State the phase relation between V₁ and V₂ (which one lag another).
(iii) Determine v3 (t) = v₁ (t) + v₂(t) using phasor method.
(iv) Sketch v3 (t) in time domain.
Transcribed Image Text:(b) Two AC signals, v₁ (t) and v₂ (t) are given as follows: v₁ (t) = -10 cos(100t - 30°) V v₂ (t) = 20 sin(100t +130°) V (i) Sketch the phasor diagram of V₂ and V₂. (ii) State the phase relation between V₁ and V₂ (which one lag another). (iii) Determine v3 (t) = v₁ (t) + v₂(t) using phasor method. (iv) Sketch v3 (t) in time domain.
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