7. A two-branch parallel circuit, with Z₁ = 10/0° ohms and Z₂ = 8.0/-30° ohms, has a totalcurrent i(t) = 7.07 cos(wt -90°) A. Obtain the complete power triangle. P, Q, p.f.Ohms.8. A two-branch parallel circuit has branch impedances Z₁ = 2.0-j5.0 ohms and Z₂ = 1.0+j1.0 ohms. Obtain the complete power triangle for the circuit if the 2.00hm resistorconsumes 20W. P, Q, p.f.9. A two-branch parallel circuit, with impedances Z₁ = 4.0/-30° and Z₂ = 5.0/60° ohms, hasan applied effective voltage of 20 V. Obtain the power triangles for the branches andcombine them to obtain the total power triangle.

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Answered: 7. A two-branch parallel circuit, with…

7. A two-branch parallel circuit, with Z₁ = 10/0° ohms and Z₂ = 8.0/-30° ohms, has a total current i(t) = 7.07 cos(wt -90°) A. Obtain the complete power triangle. P, Q, p.f. Ohms.

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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Question

7. A two-branch parallel circuit, with Z₁ = 10/0° ohms and Z₂ = 8.0/-30° ohms, has a total
current i(t) = 7.07 cos(wt -90°) A. Obtain the complete power triangle. P, Q, p.f.
Ohms.
8. A two-branch parallel circuit has branch impedances Z₁ = 2.0-j5.0 ohms and Z₂ = 1.0+
j1.0 ohms. Obtain the complete power triangle for the circuit if the 2.00hm resistor
consumes 20W. P, Q, p.f.
9. A two-branch parallel circuit, with impedances Z₁ = 4.0/-30° and Z₂ = 5.0/60° ohms, has
an applied effective voltage of 20 V. Obtain the power triangles for the branches and
combine them to obtain the total power triangle.

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Step 1: Note

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Step 2: Given

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Step 3: Finding equivalent impedance

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Step 4: Finding Active Power

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Step 5: Finding Reactive Power

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Step 6: Finding Power Factor

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Step 7: Power Triangle

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