Question

Find Vy in the network shown in the given figure, where P = 10240° V. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees. j1Ω 2Ω 2Ω + V P j4 Ω j4 Ω -j1Ω 2/0° A The value of VX V.

Answer 1

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22 + V 10240v و هان موز (1) LOA -jin using sowice transformations jin > 212 22 -jin 10 240 V - ja N jar I mo. j42 llew The are to two mesh currents assumed to be & dot convention, the induced voltages due to incorporated in the as follows. mulued coupling are incorpo cut, 2.12 222 - il 11 V jue R elle j4R 10240 V (1) jl. I -jar jl. I,

KVL in the first loop Applying 25, + j4 I, & j I. 10 2409 2) (2 + j4) 1, + jl. I, - (7.66 + 3 6.43 ) the Applying are in second doop - -ji I + 2 I + j4 In & jl I - ja 27 jI + (2 + j3) I2 - ja 2 sowing ear ① & ② we get I, 2 2 (2.22 - j0.68) A 2.32 L-17.03 A IĮ (-1.08 - 30.49) A 2 1.18 L-155.59 A Now, V - - 2 Iz 2 24180 x 1.18 L-155.59* V x I 2.36 224. 41 V