3. Phasors and complex exponential function a) Consider 2 voltage functions: v₁ (t) = 5 sin(10t+60°) (V) and v₂(t)= 5 cos(10t+30°) (V) i) Find angular frequency w and phasors V₁ and V₂. V₁-V₂ ii) For a RL circuit, we have phasor equation I = Z₁ Solve for phasor current I and find time varying current in terms of cos. b) i) Express -√3+i in exponential form with all possible values for angle, ii) For Z = x + iy, find the magnitude and angle of e³²-¹. iii) Find all possible values of e³²-¹ = − √3 + i. == where Z₁ = R+ jwL, R=10(N) and L = √3 (H).

3. Phasors and complex exponential function a) Consider 2 voltage functions: v₁ (t) = 5 sin(10t+60°) (V) and v₂(t)= 5 cos(10t+30°) (V) i) Find angular frequency w and phasors V₁ and V₂. V₁-V₂ ii) For a RL circuit, we have phasor equation I = Z₁ Solve for phasor current I and find time varying current in terms of cos. b) i) Express -√3+i in exponential form with all possible values for angle, ii) For Z = x + iy, find the magnitude and angle of e³²-¹. iii) Find all possible values of e³²-¹ = − √3 + i. == where Z₁ = R+ jwL, R=10(N) and L = √3 (H).

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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