Solved: (Wheatstone bridge) Show that if RxlR3 = Rl/R2 in

Chapter 7, Problem 7.1.64

(choose chapter or problem)

Show that if \(R_{x} / R_{3}=R_{1} / R_{2}\) in the figure, then I = 0 . \((R_{0}\right\). is the resistance of the instrument by which I is measured.) This bridge is a method for determining \(R_{x} . R_{1}, R_{2^{-}} R_{3}\) are known. \(R_{3}\) is variable. To get \(R_{x}\), make I = 0 by varing \(R_{3}\). Then calculate \(R_{x}=R_{3} R_{1} / R_{2}\).

Text Transcription:

R_x / R_3 = R_1 / R_2

R_0

R_x, R_1, R_2, R_3

R_3

R_x

R_x = R_3 R_1 / R_2

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