Solved: A Wheatstone bridge is a type of “bridge circuit”
Chapter 19, Problem 74GP(choose chapter or problem)
A Wheatstone bridge is a type of “bridge circuit” used to make measurements of resistance. The unknown resistance to be measured, \(R_{X}\), is placed in the circuit with accurately known resistances \(R_{1}, R_{2}\), and R₃ (Fig. 19–76). One of these \(R_{3}\), is a variable resistor which is adjusted so that when the switch is closed momentarily, the ammeter Ⓐ shows zero current flow. The bridge is then said to be balanced. (a) Determine \(R_{X}\) in terms of \(R_{1}, R_{2}\), and \(R_{3}\) (b) If a Wheatstone bridge is “balanced” when \(R_{1}-590 \Omega, R_{2}=972 \Omega\), and \(R=78.6 \Omega\), what is the value of the unknown resistance?
Equation transcription:
Text transcription:
R{X}
R{1}, R{2}
R{3}
R{1}-590 Omega, R{2}=972 Omega
R=78.6 Omega
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