(a) What is the resistance X of the resistor in the mid- dle if the equivalent resistance of the system be- tween the points A and B is exactly the same as the resistance of the resistor in the middle: RAB = X?

(a) What is the resistance X of the resistor in the mid- dle if the equivalent resistance of the system be- tween the points A and B is exactly the same as the resistance of the resistor in the middle: RAB = X?

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 6.61P

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Concept explainers

KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.

Question

P6. A bridge circuit
Consider the bridge circuit shown in the figure.
R1
R2
A
В
X
R2
R1
(a) What is the resistance X of the resistor in the mid-
dle if the equivalent resistance of the system be-
tween the points A and B is exactly the same as the
resistance of the resistor in the middle: RAB = X?
(b) Is it possible to choose the value of X such that
the equivalent resistance is equal to the root-mean-
square value of R1 and R2, which is:
R? + R;
RAB
||

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