目录

  • 1 Basic Concepts of Electric Circuits
    • 1.1 Introduction
    • 1.2 Voltage and Current
    • 1.3 Power and Energy
  • 2 Basic Laws of Electric Circuit
    • 2.1 Ohm's Law
    • 2.2 Kirchhoff's Laws
    • 2.3 Series Resistors and Voltage Division
    • 2.4 Parallel Resistors and Current Division
    • 2.5 Summary
  • 3 Capacitors and Inductors
    • 3.1 Capacitors
    • 3.2 Inductors
    • 3.3 Summary
  • 4 Electronic System
    • 4.1 Introduction
    • 4.2 Electronic System Block Diagrams
    • 4.3 Information Processing Versus Power Electronics
    • 4.4 Analog Versus Digital Systems
    • 4.5 Conversion of Signals from Analog to Digital Form
    • 4.6 Relative Advantages of Analog and Digital Systems
  • 5 Operational Amplifiers
    • 5.1 Introduction
    • 5.2 Operational Amplifiers
    • 5.3 Ideal op-amp
    • 5.4 Inverting Amplifier
    • 5.5 Noninverting Amplifier
  • 6 Digital Logic Circuits
    • 6.1 Basic Concepts and Introduction
    • 6.2 Electrical Specifications for Logic Gates
  • 7 Transformer
    • 7.1 Introduction
    • 7.2 Construction of Transformer
    • 7.3 The Ideal Transformer
  • 8 Electrical Machines
    • 8.1 A Brief Overview
    • 8.2 Induction Machines
    • 8.3 Synchronous Machines
    • 8.4 Direct-Current Machines
  • 9 Automatic Control Systems
    • 9.1 Introduction
    • 9.2 Block Diagrams and Transfer Functions
    • 9.3 Open-Loop Control
    • 9.4 Closed-Loop Control: Feedback
    • 9.5 Objectives of a Control System
    • 9.6 Assignment
  • 10 Measurement
    • 10.1 Introduction
    • 10.2 Statistics
    • 10.3 Operating Characteristics
    • 10.4 Measurement Instruments
    • 10.5 Velocity Measurement
  • 11 Power Semiconductor Switches
    • 11.1 Introduction
    • 11.2 Thyristors
    • 11.3 Metal-Oxide-Semiconductor Field Effect Transistors
    • 11.4 Gate Turn-Off Thyristors
    • 11.5 Insulated Gate Bipolar Transistors
    • 11.6 Desired Characteristics in Controllable Switches
  • 12 Rectifiers and Inverters
    • 12.1 Introduction
    • 12.2 Basic Rectifier Concepts
    • 12.3 Practical Thyristor Converters
  • 13 Academic English
    • 13.1 Vocabulary
    • 13.2 Structure
    • 13.3 Common errors
Series Resistors and Voltage Division

Series Resistor Circuit

resistors in series

 

As the resistors are connected together in series the same current passes through each resistor in the chain and the total resistance, RT of the circuit must be equal to the sum of all the individual resistors added together. That is

series resistance equation

Series Resistor Voltage

The voltage across each resistor connected in series follows different rules to that of the series current. We know from the above circuit that the total supply voltage across the resistors is equal to the sum of the potential differences across R1 , R2 and R3 , VAB = VR1 + VR2 + VR3 = 9V.

Using Ohm’s Law, the voltage across the individual resistors can be calculated as:

Voltage across R1 = IR1 = 1mA x 1kΩ = 1V

Voltage across R2 = IR2 = 1mA x 2kΩ = 2V

Voltage across R3 = IR3 = 1mA x 6kΩ = 6V

 

giving a total voltage VAB of ( 1V + 2V + 6V ) = 9V which is equal to the value of the supply voltage. Then the sum of the potential differences across the resistors is equal to the total potential difference across the combination and in our example this is 9V.