Consider the following AC circuit: R1 R2 in R in Aj sin(wt) C2 A, sin(wt + 45°) reference a) Use nodal analysis to show in detail that the voltage phasors v1 and v2 can be determined by solving the following linear system: A2 1+i v1 * + iWc1 + + v2 * * \R1 R2 V2 Where v1 and v2 are unknown complex numbers b) Assume that R1 = R2 = R = 1 [Ohm], A1 = A2 = 1 V, C1 = C2 = 1 Farad and w = 1 [rad/sec]. Determine the phasors v1 and v2. Please show all your calculations in detail. c) Convert v1 and v2 from part b) to polar form and compute the phase difference between v1 and v2. Show all your steps in detail.

Consider the following AC circuit: R1 R2 in R in Aj sin(wt) C2 A, sin(wt + 45°) reference a) Use nodal analysis to show in detail that the voltage phasors v1 and v2 can be determined by solving the following linear system: A2 1+i v1 * + iWc1 + + v2 * * \R1 R2 V2 Where v1 and v2 are unknown complex numbers b) Assume that R1 = R2 = R = 1 [Ohm], A1 = A2 = 1 V, C1 = C2 = 1 Farad and w = 1 [rad/sec]. Determine the phasors v1 and v2. Please show all your calculations in detail. c) Convert v1 and v2 from part b) to polar form and compute the phase difference between v1 and v2. Show all your steps in detail.

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 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...

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