a) For the given network; find the equivalent circuit of terminals dc. R2 ww ww R1 R. R;3 A(v, - v.)

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.9MCQ
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a) For the given network; find the equivalent circuit of terminals dc.
R2
ww
ww
R1
R.
R;3
A(v, - v.)
Transcribed Image Text:a) For the given network; find the equivalent circuit of terminals dc. R2 ww ww R1 R. R;3 A(v, - v.)
Expert Solution
Step 1

Refer to the diagram in the problem, the value of the voltage, v+ is given by:

Electrical Engineering homework question answer, step 1, image 1

Step 2

The current flowing through the resistor, Ro is given by:

Electrical Engineering homework question answer, step 2, image 1

Step 3

The voltage across the terminals dc is determined as:

Electrical Engineering homework question answer, step 3, image 1

Step 4

To calculate the equivalent resistance across the terminals dc, the independent voltage source will be short-circuited. Then, the circuit is excited by 1 A current source across the terminals dc. Consider the voltage at the terminal, d is vth.

The circuit diagram is given as:

Electrical Engineering homework question answer, step 4, image 1

Step 5

Apply Kirchhoff’s current law at the terminal, b.

Electrical Engineering homework question answer, step 5, image 1

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