# (a) Interpretation: The relative error in the voltage reading if the internal resistance of the voltmeter was 4000 χ should be calculated. Concept introduction: The percentage relative loading error of the voltmeter E r = V M -V x V X ×100% V M = Voltage of the meter V X = True voltage of the source V M = V X ( R M R M + R S ) When resistors are in series, a voltage divider. V = V 1 + V 2 + V 3 The current in a series circuit is everywhere the same. In other words, I = I 1 = I 2 = I 3 The total resistance Rs of a series circuit is equal to the sum of the resistances of the individual components. R s = R 1 + R 2 + R 3 Ohm’s law; Ohm’s law describes the relationship among voltage, resistance, and current in a resistive series circuit. V = IR V = Voltage I = Current R = resistant

### Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

### Principles of Instrumental Analysis

7th Edition
Douglas A. Skoog + 2 others
Publisher: Cengage Learning
ISBN: 9781305577213

#### Solutions

Chapter 2, Problem 2.3QAP
Interpretation Introduction

## (a)Interpretation:The relative error in the voltage reading if the internal resistance of the voltmeter was 4000 χ should be calculated.Concept introduction:The percentage relative loading error of the voltmeter Er = VM-VxVX×100%VM = Voltage of the meterVX = True voltage of the sourceVM=VX(RMRM+RS)When resistors are in series, a voltage divider. V = V1 + V2 + V3The current in a series circuit is everywhere the same. In other words, I = I1 = I2 = I3The total resistance Rs of a series circuit is equal to the sum of the resistances of the individual components. Rs = R1 + R2 + R3Ohm’s law;Ohm’s law describes the relationship among voltage, resistance, and current in a resistive series circuit.V = IRV = Voltage I = Current R = resistant

Interpretation Introduction

### (b)Interpretation:The relative error in the voltage reading if the internal resistance of the voltmeter was 80.0 kχ should be calculated.Concept introduction:The percentage relative loading error of the voltmeter E r = VM-VxVX×100%VM = Voltage of the meterVX = True voltage of the sourceVM=VX(RMRM+RS)When resistors are in series, a voltage divider. V = V1 + V2 + V3The current in a series circuit is everywhere the same. In other words, I = I1 = I2 = I3The total resistance Rs of a series circuit is equal to the sum of the resistances of the individual components. Rs = R1 + R2 + R3Ohm’s law;Ohm’s law describes the relationship among voltage, resistance, and current in a resistive series circuit.V = IRV = Voltage I = Current R = resistant

Interpretation Introduction

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