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1) The AC circuit shown in Figure Q3-1 is expressed in the phasor domain. Given that V₁ = 50 Z V peak and V2 = 100 Z 20° Vpeak, calculate the phasors II and I2. ) Then, determine the complex power supplied by voltage sources Vi and V2. j10 Ω 20 Ω V₂0 2 5ΩΣ -j10 Ω

1) The AC circuit shown in Figure Q3-1 is expressed in the phasor domain. Given that V₁ = 50 Z V peak and V2 = 100 Z 20° Vpeak, calculate the phasors II and I2. ) Then, determine the complex power supplied by voltage sources Vi and V2. j10 Ω 20 Ω V₂0 2 5ΩΣ -j10 Ω

Power System Analysis and Design (MindTap Course List)
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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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Table 1: Laplace Transform Properties Linearity L {af(t)} = aF(s) Superposition Modulation L {e-at f(t)} = F(s + a) Time-Shifting L{f(t-7)u(t-7)} = e-TF(s) Scaling L{f(at)} = F(2) | L { $(10)} = 8 = 8F(s)-f(0) L{f(t)} = F(s) L {fi(t) + f₂(t)} = F₁(s) + F₂(s) Real Differentiation L Real Integration Complex Differentiation L {tf(t)} -F(s) ds Complex Integration {f} = f* F(®) L Convolution L {f(t) *g(t)} = F(s). G(s) Table 2: Common Laplace Transform Pairs f(t) F(s) 8(t) u(t) tu(t) e-atu(t) te-atu(t) cos(wt)u(t) sin(wt)u(t) 1 1 s+a 1 (s + a)² 8 8² +w² 8² +w²
Transcribed Image Text:Table 1: Laplace Transform Properties Linearity L {af(t)} = aF(s) Superposition Modulation L {e-at f(t)} = F(s + a) Time-Shifting L{f(t-7)u(t-7)} = e-TF(s) Scaling L{f(at)} = F(2) | L { $(10)} = 8 = 8F(s)-f(0) L{f(t)} = F(s) L {fi(t) + f₂(t)} = F₁(s) + F₂(s) Real Differentiation L Real Integration Complex Differentiation L {tf(t)} -F(s) ds Complex Integration {f} = f* F(®) L Convolution L {f(t) *g(t)} = F(s). G(s) Table 2: Common Laplace Transform Pairs f(t) F(s) 8(t) u(t) tu(t) e-atu(t) te-atu(t) cos(wt)u(t) sin(wt)u(t) 1 1 s+a 1 (s + a)² 8 8² +w² 8² +w²
(a) The AC circuit shown in Figure Q3-1 is expressed in the phasor domain. Given that V₁ = 50 Z 0° V peak and V2 = 100 < 20° Vpeak, calculate the phasors II and I2. (b) Then, determine the complex power supplied by voltage sources Vi and V2. j10 Ω 20 Ω V₂ Reference node Figure Q3-1 50. -j10 Ω
Transcribed Image Text:(a) The AC circuit shown in Figure Q3-1 is expressed in the phasor domain. Given that V₁ = 50 Z 0° V peak and V2 = 100 < 20° Vpeak, calculate the phasors II and I2. (b) Then, determine the complex power supplied by voltage sources Vi and V2. j10 Ω 20 Ω V₂ Reference node Figure Q3-1 50. -j10 Ω
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