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Electrical Mechanics and Maths V10 contents
 
Electronics:

DC Current flow
Conductor
Insulator
Measuring an Electric Current
Conductor Resistance
Basic Electronics
Finding Circuit Voltages
Measuring Voltage & Current
Variable Resistance
Adding Positive Values
Adding Negative Values
Adding Signed Values
Algebraic Addition of Currents
Subtracting Signed Voltages
Subtracting Negative Currents
Resistor Value Test
Select Random Value
Simple DC Circuits
Three Resistors in Series
Two Parallel Resistors
Potential Divider
Loading a Potential Divider
Pull Up, Pull Down Resistors
Types of Switching
Push Switch
Change-over Switch
Stair-case Switch
Relay Switch
Three-level Switch
Variable Voltages
DC Voltage
Switching a DC Voltage
Variable DC Voltage
Alternating DC Voltage
Ohm's Law
Ohm's Law: Current
Ohm's Law: Voltage
Ohm's Law: Resistance
Ohm's Law: Formula Transformation
DC Voltage
Voltage Divider
Loading a Voltage Divider
DC Current
Current Divider
Further Current Dividing
Kirchhoff's Current Law
Further Current Law
Series/Parallel Resistors
Series Resistors
Two Resistors in Parallel
Three or more Resistors in Parallel
Series Parallel Resistors
Further Series Parallel Resistors
Triangle Method
AC Measurements
RMS Voltage
Peak Voltage
Peak - Peak Voltage
Combining AC Voltages
Angular Values
Frequency Measurement
Period of AC Sine Wave
AC Voltage & Current
Resistor, Voltage & Current Relationship
Capacitor, Voltage & Current Relationship
Inductor, Voltage & Current Relationship
Series RCL Voltage & Current Relationship
Angle of Rotation
Parallelogram for Voltage Phase Angles
AC Theory
AC Ohm's Law
Combining Alternating Currents
Voltage & Current for R
Voltage & Current for C
Voltage & Current for L
Current Phasors
Oscilloscope Measurements
RCL Series Circuits
RC Series Circuit
RL Series Circuit
RCL Series Circuit
Series RC Voltages
Series RC Phase Angle
Series RL Phase Angle
Using Sin & Cos Trigonometric Functions
RCL Parallel Circuits
RC Parallel Circuit
RL Parallel Circuit
RCL Parallel Circuit
RCL Waveforms
Capacitance
Capacitor Charging
Capacitor Discharging
Capacitor Charge & Discharge Cycle
Calculating Capacitor Value
Calculating Capacitor Charge
Capacitor Charging Waveforms
Calculating RC Time Constant
Capacitors
Capacitor Reactance
Capacitors in Series
Capacitors in Parallel
Inductance
Storing Energy in an Inductor
Calculating an Induced Voltage
Calculating Inductive Energy
Inductive Circuit Waveforms
Calculating RL Time Constant
Inductors
Inductive Reactance
Inductors in Series
Inductors in Parallel
Impedance
RC Series Impedance
RL Series Impedance
RCL Series Impedance
RC Parallel Impedance
RL Parallel Impedance
RCL Parallel Impedance
Conductance, Susceptance, Admittance
Circuit Theorems
Superposition
Theorems 1 & 2
Constant Voltage Source
Constant Current Generator
Thevenin's Theorem 1
Thevenin's Theorem 2
Norton's Theorem
Maximum Power Transfer
Complex Numbers
Polar to Rectangular Number Form
Rectangular to Polar Form
Rectangular Addition
Rectangular Subtraction
Complex Number Multiplication
Complex Number Division
RC Series in Complex Form
Circuit Values from Complex Numbers
DC Power
DC Power V & I
DC Power I & R
DC Power V & R
Series Resistor Power
Parallel Resistor Power





AC Power
Amplifier Power Gain/Loss
Power Levels Expressed in Decibels
RC Series Power
RL Series Power
Capacitance Reactive Power
Inductance Reactive Power
Power Factor Correction
Silicon Controlled Rectifier
Basic SCR Operation
Simple Alarm Latch
Time Delay SCR Switch
SCR Phase Control
Triac & Diac
Power Supplies
Half Wave Rectifier
Full Wave Bridge Rectifier
Zener Diode Characteristics
Zener Diode Voltage Regulation
Zener Diode Series Resistor
Zener Diode Current
Zener Diode Power Rating
Transformer Turns Ratio
Voltage Regulation
Fixed Regulator
Variable Voltage Regulator
Regulated Voltage Supply
Magnetism
Attraction & Repulsion
Magnetic Field of a Straight Conductor
Magnetic Field of a Single Coil
Electromagnet
A Closed Magnetic Circuit
Magnetic Circuit with an Air Gap
Force on a Conductor in a Magnetic Field
Permanent Magnet Induction
Electro-magnetic Induction
Self Induction & Back EMF
A Simple AC EMF Generator
Generating a Greater EMF Output
Generator with DC Output
DC Motor & Speed Control
Stepper Motor
Transformers
Transformer Alternating Voltages & Currents
Input Impedance
Maximum Power Transfer
Auto Transformer
Three Phase Systems
3-phase Generation of EMF
Balanced Star Generator
3-phase Balanced Star Load
Unbalanced 3-phase Star Load
3-phase Balanced Delta Load
Star & Delta Transformations
Displaying a Phasor Output
Energy Transfer & Cost
Electrical Charge
Electrical Energy & Tariff
Measuring Electrical Energy
Electrical Energy for Heating Water
SemiConductors
Atomic Structures
Hydrogen Atom
Electron Shells
Carbon Atom
Silicon Atom
Copper Atom
Germanium Atom
Silicon Crystal Covalent Bonds
P-type & N-type materials
Diode Theory
The PN Junction Diode Characteristics
Simple Diode Circuit
Forward Biased PN Junction
Reverse Biased PN Junction
Finding the Diode Forward Resistance
Diode Applications
Light Emitting Diode 1
Light Emitting Diode 2
Opto Coupler
Seven Segment Light Emitting Diode
Relay Protection Diode
Transistor Theory
NPN Transistor Construction
NPN Transistor Principle
Transistor Configurations
DC Operating Conditions
Transistor Switch
Simple Signal Amplifier
DC Amplifier
AC Amplifier
Two Port Transistor Model
Hybrid Circuit for Common Emitter Configuration
Equivalent NPN Transistor Circuit
Bipolar Transistor
Signal Clipping
DC Load Line
AC Load Line
AC Current Gain
Push Pull Output
Crossover Distortion
Power Output Stage
Two Stage Amplifier
Cascading Transistor Amplifiers
Calculating Coupling Capacitor Values
Transistor Configurations
Emitter Follower Configuration
Input Impedance
Transistor Biasing Voltage
Shifting the DC Bias Level
Common Emitter Amplifier
Bias & Stabilisation
Active Transistor Circuits
LDR Pull Up, Pull Down Circuit
Thermistor Pull Up, Pull Down Circuit
Light Operated Transistor Switch
Light Dependent Resistor & Relay Circuit
Thermistor Controlled Switch
Field Effect Transistors
Basic N Channel FET
Basic MOSFET
FET Negative Biasing
FET Automatic Biasing
Depletion / Enhancement MOSFET
Enhancement MOSFET
Mathematics:

Number Systems
Addition
Subtraction
Multiplication
Division
Types of Numbers
Further Addition
Further Subtraction
Further Multiplication
Further Division
Directed Numbers
Finding Next Number in a Sequence
Temperature Conversion Application
Matrices Addition
Matrices Multiplication
Number Conversion
Rounding Numbers
Significant Figures
Exponent To Ordinary Form
Standard Form To Ordinary Form
Ordinary to Standard Form
Number Types
Rational & Irrational Numbers
Factors of n
Prime Numbers
Prime Factors
Lowest Common Multiple
Highest Common Factor
Roots
Square Roots
Square Root of a Product
Cube Roots
Angles & Parallels
Angle Names
Vertically Opposite Angles
Alternate Angles
Corresponding Angles
Supplementary Angles
Triangle Ratios
Pythagorean Theorem
Sine
Cosine
Tangent
Find Length of Opposite Side using Sin
Find Length of Adjacent Side using Cos
Find Length of Opposite side using Tan
Tangent Properties
Triangle Angles
Interior Angles
Congruent
Quadrilateral
Exterior Angles
Octagonal
Locus
Enlargement
Negative Scale Factor
Percentages
Decimal to Percentage
Percentage to Decimal
Measurement 1 as a % of Measurement 2
Percentage Change
Percentage Error
Compound Interest
Appreciation
Depreciation
Product of Percentages
Ratios
Ratio
Proportional Parts Quantity Division
Fractions
Proper & Improper Fractions
Mixed Numbers
Addition of Fractions
Subtraction of Fractions
Multiplication of Fractions
Division of Fractions
Fractions to Decimals
Fractions to Percentages
Vectors
Bearings
Vector Parallelogram
Circle Angles
Radius of a Circle
Circle Area
Chord of a Circle
Tangent of a Circle
Arc of a Circle
Length of an Arc
Segment of a Circle
Area of a Segment
Sector Area
Circle Theorem
Circumference Angle
Subtended Angle
Cyclic Quadrilaterals

Laws
Associative Laws
Non Associative Laws
Commutative Laws
Non Commutative Laws
Distributive Laws
Algebra Rules
Rules
Algebra 1
Formula Transformation
Addition
Subtraction
Addition & Subtraction
Subtraction & Addition
Algebra 2
Multiplication
Division
Multiplication & Division
Further Algebra Division
Mathematical Rules
Sign Rules
Identity Law for Addition
Identity Multiplication Law
Inverse Addition
Inverse Multiplication
Inequalities
Powers & Indices
Powers of a Number
Fractional Indices
Multiplying Numbers with Indices
Dividing Numbers with Indices
Multiplying & Dividing Standard Form Numbers
Simplifying
Removing Brackets
Factoring
Equations
Simple Linear Equations
Solving Linear Equations
Graphing
Linear Equation Graphs
Quadratic Equation Graphs
Simultaneous Linear Equations
Gradient of a Point on a Curve
Gradient of a Curve
Distance / Time Graph
Slope & Translation
Positive Gradient
Negative Gradient
X-Y Coordinates
The Slope of a Line
Translation
Reflection
Curves & Angle Conversion
Sine Curve
Combining Sine Curves
Cosine Curve
Tangent Curve
Degrees to Radians
Radians to Degrees
Personal Finance
Wages & Salaries
VAT (Value Added Tax)
Hire Purchase & Credit
Simple Interest
Foreign Currency Conversion
Income Tax
Data Analysis
Frequency Distribution
Standard Deviation
Pie Chart
Probability Tree
Probability Addition Law
Probability Multiplication Law
Quartiles
Cumulative Frequency, Box Plot
Continuous Even Distribution
Sampling Theory
Correlation Analysis
Moving Average
Seasonality
Mechanics:

Area
Parallelogram
Trapezium Area
Triangle Area
Annulus Area
Cylinder Surface Area
Pyramid Net & Surface Area
Surface Area & Symmetry
Surface Area of a Cone
Sphere Surface Area
Lines of Symmetry
Planes of Symmetry
Pyramid
Cube
Volume
Cylinder Volume
Triangular Prism Volume
Pyramid Volume
Cone Volume
Sphere Volume
Compound Measures
Density
Mass
Volume
Speed
Distance
Time
Geometry
Bisect a Line at Right Angles
Construct Perpendicular Line
Dividing Longer Lengths or Distances
Bisecting an Angle
Finding Centre of Rhombus
Finding Centre of a Circle
Repeating an Angle
Draw Fixed Angles of 30 & 60 degrees
Draw fixed angles of 90 & 45 degrees
Motion
Speed, Velocity & Acceleration
Displacement / Time Graph
Velocity / Time Graph
Mass (Density & Relative Density)
Momentum
Weight
Friction Force
Stress
Strain
Work, Energy, Power & Efficiency
Computers
Moment of Force
Moments of Force in Equilibrium
Torque
Simple Lever Mechanical Advantage
The Inclined Plane
The Screw Jack
Simple Dual Pulley
Single Pulley Block & Tackle
Multiple Pulley Block & Tackle
Simple Belt Drive
Gearing
Gear Train with Idler
Compound Gear Train
Optics
Light Propagation
Radiation
Reflection
Image in a Plane Mirror
Refraction
Apparent Distance & Actual Distance
Total Internal Reflection
Prisms
Illumination
Lenses & Focal Length

Electrical Toolbox
AC Calculations
Sinewave Average Values
Peak, Peak-to-Peak & RMS
Instantaneous Values
Phase Advance, Retard & 180 degree Shift
Capacitor Charge, Reactance & Value
Parallel Capacitors
Charge on C & RC Time Constant
Power Factors in RC circuit
Series Capacitors
Induced EMF, Inductance & Reactance
Inductance, RL Time constant & Resonant Frequency
Power Factors in RL circuit
Series Impedance
Parallel Impedance
Voltage, Current & Power Ratios
Numbers
Adding Positive & Negative Values
Subtracting Positive & Negative Values
Square Roots & Number Rounding
Determine Sides of a Right Angle Triangle
Sine, Cosine & Tangent Angles
Degree & Radian Angular Rotation
Rectangular Addition & Subtraction
Rectangular & Polar Conversion
Applications
Half & Full Wave Rectifiers
Heatsink Calculations
Testing
Analogue Multi-meter
Measuring Voltage (Voltmeter)
Measuring Current (Ammeter)
Measuring Resistance (Ohmmeter)
Effect of Meter Loading
Meter Overload Protection
Measurement
Wheatstone Bridge
Component Testing
Resistors
Capacitors
Diodes
Silicon Controlled Rectifier
NPN Transistor
Identifying Transistor Types
Diode Probe
Logic Probe