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Consider the bridge circuit shown in the figure.
R1
R2
A
B
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 =
2

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