Chapter 21: Q60PE (page 777)

To what value must you adjust $R_{3}$ to balance a Wheatstone bridge, if the unknown resistancerole="math" localid="1656392044601" $R_{x} is 100 Ω, R_{1} is 50.0 Ω, and R_{2} is 175 Ω$ ?

Short Answer

Expert verified

The value for the unknown resistance in the Wheatstone bridge is $R_{3} = 28.6 Ω$ .

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: $R_{x} = 100 Ω$

The values for $R_{1} = 50 Ω, R_{2} = 175 Ω$ .

Calculation for Resistance

The formula for calculating the resistance is –

$\frac{R_{x}}{R_{3}} = \frac{R_{2}}{R_{1}} R_{3} = R_{x} \frac{R_{1}}{R_{2}} R_{3} = (100 Ω) \times \frac{50 Ω}{175 Ω} R_{3} = 28.6 Ω$

Therefore, the value for resistance is $R_{3} = 28.6 Ω$ .

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To what value must you adjust $R_{3}$ to balance a Wheatstone bridge, if the unknown resistancerole="math" localid="1656392044601" $R_{x} is 100 Ω, R_{1} is 50.0 Ω, and R_{2} is 175 Ω$ ?

Short Answer

Step by step solution

Concept Introduction

Information Provided

Calculation for Resistance

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To what value must you adjust R3to balance a Wheatstone bridge, if the unknown resistancerole="math" localid="1656392044601" Rxis100Ω,R1is50.0Ω,andR2is175Ω?

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

Nuclear Physics

Electric Charge Field and Potential

Mechanics and Materials

Torque and Rotational Motion

Translational Dynamics

Scientific Method Physics

Study anywhere. Anytime. Across all devices.

To what value must you adjust $R_{3}$ to balance a Wheatstone bridge, if the unknown resistancerole="math" localid="1656392044601" $R_{x} is 100 Ω, R_{1} is 50.0 Ω, and R_{2} is 175 Ω$ ?