Chapter 21: Q59PE (page 777)

When an unknown resistance $R_{x}$ is placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting $R_{3}$ to be $2500 Ω$ . What is $R_{x}$ if $\frac{R_{2}}{R_{1}} = 0.625$ ?

Short Answer

Expert verified

The value for the unknown resistance in the Wheatstone bridge is $R_{x} = 1562.5 Ω$ .

Step by step solution

Concept Introduction

A Wheatstone bridge is an electrical circuit that balances two legs of a bridge circuit, one of which includes the unknown component, to measure an unknown electrical resistance. The circuit's main advantage is its capacity to deliver exceedingly exact readings.

Information Provided

The Wheatstone bridge with a resistance: $R_{3} = 2500 Ω$
The values for $\frac{R_{2}}{R_{1}} = 0.625 .$ .

Calculation for Resistance

The formula for calculating the resistance is –

$R_{x} = R_{3} \frac{R_{2}}{R_{1}} = (2500 Ω) \times 0.625 = 1562.5 Ω$

Therefore, the value for resistance is $R_{x} = 1562.5 Ω$ .

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When an unknown resistance $R_{x}$ is placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting $R_{3}$ to be $2500 Ω$ . What is $R_{x}$ if $\frac{R_{2}}{R_{1}} = 0.625$ ?

Short Answer

Step by step solution

Concept Introduction

Information Provided

Calculation for Resistance

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When an unknown resistanceRxis placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting R3to be 2500Ω. What is RxifR2R1=0.625?

Short Answer

Step by step solution

Concept Introduction

Information Provided

Calculation for Resistance

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fluids

Further Mechanics and Thermal Physics

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Modern Physics

Study anywhere. Anytime. Across all devices.

When an unknown resistance $R_{x}$ is placed in a Wheatstone bridge, it is possible to balance the bridge by adjusting $R_{3}$ to be $2500 Ω$ . What is $R_{x}$ if $\frac{R_{2}}{R_{1}} = 0.625$ ?