Chapter 21: Q58PE (page 777)

Calculate the ${emf}_{x}$ of a dry cell for which a potentiometer is balanced when $R_{x} = 1.200 Ω$ , while an alkaline standard cell with an emf $1.600 V$ of requiresto $R_{s} = 1.247 Ω$ balance the potentiometer.

Short Answer

Expert verified

The of a dry cell being for which a potentiometer is balanced is $E_{x} = 1.540 V$ .

Step by step solution

Concept Introduction

The electric potential generated by an electrochemical cell or a changing magnetic field is known as electromotive force. Electromotive force (EMF) is a well-known abbreviation.

Information Provided

Emf of a standard cell: $E_{s} = 1.600 V$
Resistance of the potentiometer: $R_{x} = 1.200 Ω$
Standard resistance value: $R_{s} = 1.247 Ω$

Calculation for EMF of the cell

Calculate of a cell using a potentiometer. The formula is -

$E_{x} = E_{s} \frac{R_{x}}{R_{s}} = (1.600 V) \frac{1.200 Ω}{1.247 Ω} = 1.600 V \times 0.96 = 1.540 V$

Therefore, the value for emf is $E_{x} = 1.540 V$ .

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Calculate the ${emf}_{x}$ of a dry cell for which a potentiometer is balanced when $R_{x} = 1.200 Ω$ , while an alkaline standard cell with an emf $1.600 V$ of requiresto $R_{s} = 1.247 Ω$ balance the potentiometer.

Short Answer

Step by step solution

Concept Introduction

Information Provided

Calculation for EMF of the cell

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Calculate theemfxof a dry cell for which a potentiometer is balanced whenRx=1.200Ω, while an alkaline standard cell with an emf 1.600Vof requiresto Rs=1.247Ωbalance the potentiometer.

Short Answer

Step by step solution

Concept Introduction

Information Provided

Calculation for EMF of the cell

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

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Study anywhere. Anytime. Across all devices.

Calculate the ${emf}_{x}$ of a dry cell for which a potentiometer is balanced when $R_{x} = 1.200 Ω$ , while an alkaline standard cell with an emf $1.600 V$ of requiresto $R_{s} = 1.247 Ω$ balance the potentiometer.