2.3.5

Variable Resistance

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Wires and Resistance

The resistance of a wire depends on the wire’s length and cross-sectional area of the circular end of the wire. Resistance (in ohms) is proportional to (α) the length (in metres) divided by the cross-sectional area (in metres squared).

Size of a wire

Size of a wire

Increasing the length of a wire, increases the resistance of the wire.
Decreasing the cross-sectional area of the wire increases its resistance.
So short, wide wires have less resistance than long, narrow wires.

Wire thickness

Wire thickness

The cross-sectional area (A) of a circular wire is equal to π times its radius (r) squared.
Therefore, doubling the thickness of a wire quadruples its cross-sectional area.

1

Forces & Motion

1.1

Basics of Motion

1.1.1Average Speed 1.1.2Acceleration 1.1.3Distance & Displacement 1.1.4Velocity 1.1.5Adding Vectors 1.1.6Distance-Time Graphs 1.1.7Speed-Time Graphs 1 1.1.8Speed-Time Graphs 2 1.1.9Initial & Final Speed, Acceleration, Distance 1.1.10Average Speed - Calculations 1.1.11Acceleration - Calculations 1.1.12Uniform Acceleration - Calculations 1.1.13Grade 9 - Motion 1.1.14Exam-Style Questions - Graphs of Motion

1.2

Forces

1.2.1Contact & Non-Contact Forces 1.2.2Examples of Contact Forces 1.2.3Friction 1.2.4Newton's First Law 1.2.5Newton's Second Law 1.2.6Newton's Third Law 1.2.7Describing Forces 1.2.8Using Free Body Diagrams

1.3

Effects of Forces

1.3.1Momentum - No Impulse 1.3.2Momentum 1.3.3Momentum: Law of Conservation 1.3.4Force & Momentum Change 1.3.5Momentum - Safety 1.3.6Change in Momentum - Calculations 1.3.7Momentum - Calculations 1.3.8Mass 1.3.9Weight 1.3.10Centre of Mass 1.3.11Gravity - Calculations 1.3.12Free Fall 1.3.13Air Resistance & Friction 1.3.14Graphs of Motion with Air Resistance 1.3.15Turning Effect 1.3.16Moments 1.3.17Equilibrium 1.3.18Moments - Calculations 1.3.19Exam-Style Questions - Moments

1.4

Stopping Distance

1.4.1Stopping Distance 1.4.2Stopping Distance - Thinking Distance 1.4.3Stopping Distance - Braking Distance

1.5

Forces & Elasticity

1.5.1Stretching, Bending & Compressing 1.5.2Elastic Deformation vs Inelastic Deformation 1.5.3Hooke's Law 1.5.4Hooke's Law - Equation 1.5.5Hooke's Law - Spring Experiments 1.5.6Hooke's Law - Calculations 1.5.7Elastic Potential - Calculations 1.5.8End of Topic Test - Forces 1.5.9Exam-Style Questions - Elastic Potential

2

Electricity

2.1

Electricity in Homes

2.1.1Mains Electricity 2.1.2Power Rating of Appliances 2.1.3National Grid 2.1.4AC/DC 2.1.5Electrical Safety 2.1.6Fuses 2.1.7Fuse Ratings

2.2

Current & Potential Difference

2.2.1Current 2.2.2Current - Equation 2.2.3Current - Calculations 2.2.4Conductors & Insulators 2.2.5Electrical Conductors - Electrons 2.2.6Potential Difference 2.2.7Potential Difference - Equation 2.2.8Measurements in Circuits 2.2.9Voltage - Calculations

2.3

Resistance & Power

2.3.1Resistance 2.3.2Ohm's Law 2.3.3Measuring Resistance 2.3.4Resistance & Ohms Law - Calculations 2.3.5Variable Resistance 2.3.6Current-Voltage Graph for a Resistor 2.3.7Electrical Work 2.3.8Power 2.3.9Heating Effect in Resistors 2.3.10Electrical Work - Calculations 2.3.11Exam-Style Questions - Resistance

2.4

Electric Circuits

2.4.1Circuit Diagrams 2.4.2Circuit Symbols 2.4.3Diodes 2.4.4LDRs & Thermistors 2.4.5Series Circuits 2.4.6Resistors in Series 2.4.7Series Circuits - Calculations 2.4.8Parallel Circuits 2.4.9Parallel Circuits in Practice 2.4.10End of Topic Test - Electricity 2.4.11Grade 9 - Circuits 2.4.12Exam-Style Questions - Electrical Circuits

2.5

Static Electricity

2.5.1Electric Charge 2.5.2Charging an Object 2.5.3Charged Objects 2.5.4Uses of Static Electricity 2.5.5Charge Dangers 2.5.6Calculating Power & Energy Transferred

3

Waves

3.1

Wave Basics

3.1.1Wave Basics 3.1.2Transverse Waves 3.1.3Longitudinal Waves 3.1.4Wave Frequency Formula 3.1.5Wavelength & Amplitude 3.1.6Wave Speed 3.1.7Wave Speed - Calculations 3.1.8Wave Frequency - Calculations 3.1.9Wavefronts 3.1.10Doppler Effect 3.1.11Exam-Style Questions - Wave Speed

3.2

Waves at a Boundary

3.2.1Changing Wave Motion 3.2.2Reflection 3.2.3Refraction 3.2.4Angle of Refraction 3.2.5Refractive Index 1 3.2.6Refractive Index 2 3.2.7Total Internal Reflection 3.2.8Optic Fibres

3.3

Electromagnetic Spectrum

3.3.1Properties of Electromagnetic Waves 3.3.2Gamma Rays 3.3.3X-Rays 3.3.4UV Light 3.3.5Visible Light 3.3.6Infrared Radiation 3.3.7Microwaves 3.3.8Radio Waves 3.3.9End of Topic Test - EM Waves 3.3.10Exam-Style Questions - Electromagnetic Wave Uses

3.4

Sound Waves

3.4.1Sound Waves 3.4.2Sound Waves & Our Ears 3.4.3Sound as a Wave 3.4.4Signal Generators 3.4.5Sound Waves - Oscilloscope Traces 3.4.6Measuring the Speed of Sound - Experiment 3.4.7End of Topic Test - Waves

3.5

Communications

3.5.1Digital & Analogue Signals 3.5.2Benefits of Digital Signals

4

Energy Resources & Energy Transfers

4.1

Energy Changes

4.1.1Energy Stores 4.1.2Conservation of Energy 4.1.3Examples of Energy Conversion 4.1.4Kinetic Energy Stored 4.1.5Gravitational Potential Energy Stored 4.1.6Elastic Potential Energy Stored 4.1.7Changes in Kinetic Energy - Calculations 4.1.8Changes in GPE - Calculations 4.1.9Changes in EPE - Calculations 4.1.10Mechanical Work Done 4.1.11Mechanical Work Done - Equation 4.1.12Power 4.1.13Mechanical Work - Calculations 4.1.14Electrical Work Done- Calculations

4.2

Energy Losses & Efficiency

4.2.1Energy Wastage 4.2.2Energy Transfer Diagrams 4.2.3Efficiency 4.2.4Reducing Unwanted Energy Transfer 4.2.5Efficiency - Calculations 4.2.6Grade 9 - Energy & Efficiency 4.2.7Exam-Style Questions - Energy & Power

4.3

Energy Resources

4.3.1Energy Resources 4.3.2Fossil Fuels 4.3.3Geothermal Energy 4.3.4Wind Energy 4.3.5Water Energy 4.3.6Tidal Energy 4.3.7Nuclear Energy 4.3.8Solar Energy 4.3.9Non-Renewable & Renewable Resources 4.3.10Renewable Energy 4.3.11Limits to Renewable Energy Resources 4.3.12End of Topic Test - Energy

4.4

Thermal Processes

4.4.1Radiation 4.4.2Conduction 4.4.3Molecular Conduction 4.4.4Convection Currents 4.4.5Convection Currents - Examples

5

Solids, Liquids & Gases

5.1

Density & Pressure

5.1.1Density 5.1.2Density Equation 5.1.3Calculating Density 5.1.4Density - Calculations 5.1.5Pressure 5.1.6Atmospheric Pressure 5.1.7Pressure Difference 5.1.8Pressure - Calculations

5.2

Changing State

5.2.1Changes of State 5.2.2States of Matter 5.2.3Specific Heat Capacity 5.2.4Exam-Style Questions - Specific Heat 5.2.5Internal Energy - Calculations

5.3

Ideal Gases

5.3.1Kelvin Scale & Absolute Zero 5.3.2Temperature & the Kelvin Scale 5.3.3Properties of Gases 5.3.4Temperature Increase in a Gas 5.3.5End of Topic Test - Solids, Liquids & Gases 5.3.6Grade 9 - Solids, Liquids & Gases

6

Magnetism & Electromagnetism

6.1

Magnetism

6.1.1Magnetism 6.1.2Magnetic Materials 6.1.3Hard & Soft Magnets 6.1.4Induced Magnetism 6.1.5Magnetic Forces 6.1.6Magnetic Field Patterns 6.1.7Exam-Style Questions - Magnetic Fields

6.2

Electromagnetism

6.2.1The Magnetic Effect of a Current 6.2.2Magnetic Field around a Coil of Wire 6.2.3Magnetic Field Strength 6.2.4The Motor Effect 6.2.5Direction of the Motor Effect 6.2.6The Catapult Experiment 6.2.7Force on a Current Carrying Wire 6.2.8DC Motors 6.2.9Loudspeakers

6.3

Electromagnetic Induction

6.3.1Electromagnetic Induction 6.3.2Induced Potential Difference 6.3.3Alternating Current - The Rotating-Coil Generator

6.4

Transformers

6.4.1Transformers 6.4.2Transformer Equation 6.4.3Step-Up & Step-Down Transformers 6.4.4Principles of Transformer Operation 6.4.5High-Voltage Transmission & Transformers 6.4.6Transformers - Calculations 6.4.7Transformers 2 - Calculations 6.4.8Energy in Transformers 6.4.9Power Losses in Cables 6.4.10End of Topic Test - Magnetism 6.4.11Grade 9 - Transformers 6.4.12Exam-Style Questions - Transformers

7

Radioactivity & Particles

7.1

Atoms

7.1.1Atomic Model 7.1.2Structure of an Atom 7.1.3The Charges of Sub-Atomic Particles 7.1.4Alpha Particles 7.1.5The Model of the Atom 7.1.6Proton & Nucleon Numbers 7.1.7Atoms & Ions 7.1.8Isotopes 1 7.1.9Isotopes 2 7.1.10Carbon Nuclides

7.2

Radioactivity

8

Astrophysics

8.1

Motion in the Universe

8.1.1The Solar System 8.1.2Gravitational Field Strength 8.1.3Orbits 8.1.4Orbital Motion

8.2

Evolution of Stars

8.2.1Life Cycle of a Star like the Sun 8.2.2Life Cycle of a Star Much Bigger than the Sun 8.2.3Absolute Magnitude 8.2.4Hertzsprung-Russell Diagrams 8.2.5Exam-Style Questions - Life Cycle of a Star

8.3

Cosmology

8.3.1The Big Bang 8.3.2Evidence for the Big Bang 8.3.3CMB Radiation 8.3.4End of Topic Test - Astrophysics

Jump to other topics

1

Forces & Motion

1.1

Basics of Motion

1.1.1Average Speed 1.1.2Acceleration 1.1.3Distance & Displacement 1.1.4Velocity 1.1.5Adding Vectors 1.1.6Distance-Time Graphs 1.1.7Speed-Time Graphs 1 1.1.8Speed-Time Graphs 2 1.1.9Initial & Final Speed, Acceleration, Distance 1.1.10Average Speed - Calculations 1.1.11Acceleration - Calculations 1.1.12Uniform Acceleration - Calculations 1.1.13Grade 9 - Motion 1.1.14Exam-Style Questions - Graphs of Motion

1.2

Forces

1.2.1Contact & Non-Contact Forces 1.2.2Examples of Contact Forces 1.2.3Friction 1.2.4Newton's First Law 1.2.5Newton's Second Law 1.2.6Newton's Third Law 1.2.7Describing Forces 1.2.8Using Free Body Diagrams

1.3

Effects of Forces

1.3.1Momentum - No Impulse 1.3.2Momentum 1.3.3Momentum: Law of Conservation 1.3.4Force & Momentum Change 1.3.5Momentum - Safety 1.3.6Change in Momentum - Calculations 1.3.7Momentum - Calculations 1.3.8Mass 1.3.9Weight 1.3.10Centre of Mass 1.3.11Gravity - Calculations 1.3.12Free Fall 1.3.13Air Resistance & Friction 1.3.14Graphs of Motion with Air Resistance 1.3.15Turning Effect 1.3.16Moments 1.3.17Equilibrium 1.3.18Moments - Calculations 1.3.19Exam-Style Questions - Moments

1.4

Stopping Distance

1.4.1Stopping Distance 1.4.2Stopping Distance - Thinking Distance 1.4.3Stopping Distance - Braking Distance

1.5

Forces & Elasticity

1.5.1Stretching, Bending & Compressing 1.5.2Elastic Deformation vs Inelastic Deformation 1.5.3Hooke's Law 1.5.4Hooke's Law - Equation 1.5.5Hooke's Law - Spring Experiments 1.5.6Hooke's Law - Calculations 1.5.7Elastic Potential - Calculations 1.5.8End of Topic Test - Forces 1.5.9Exam-Style Questions - Elastic Potential

2

Electricity

2.1

Electricity in Homes

2.1.1Mains Electricity 2.1.2Power Rating of Appliances 2.1.3National Grid 2.1.4AC/DC 2.1.5Electrical Safety 2.1.6Fuses 2.1.7Fuse Ratings

2.2

Current & Potential Difference

2.2.1Current 2.2.2Current - Equation 2.2.3Current - Calculations 2.2.4Conductors & Insulators 2.2.5Electrical Conductors - Electrons 2.2.6Potential Difference 2.2.7Potential Difference - Equation 2.2.8Measurements in Circuits 2.2.9Voltage - Calculations

2.3

Resistance & Power

2.3.1Resistance 2.3.2Ohm's Law 2.3.3Measuring Resistance 2.3.4Resistance & Ohms Law - Calculations 2.3.5Variable Resistance 2.3.6Current-Voltage Graph for a Resistor 2.3.7Electrical Work 2.3.8Power 2.3.9Heating Effect in Resistors 2.3.10Electrical Work - Calculations 2.3.11Exam-Style Questions - Resistance

2.4

Electric Circuits

2.4.1Circuit Diagrams 2.4.2Circuit Symbols 2.4.3Diodes 2.4.4LDRs & Thermistors 2.4.5Series Circuits 2.4.6Resistors in Series 2.4.7Series Circuits - Calculations 2.4.8Parallel Circuits 2.4.9Parallel Circuits in Practice 2.4.10End of Topic Test - Electricity 2.4.11Grade 9 - Circuits 2.4.12Exam-Style Questions - Electrical Circuits

2.5

Static Electricity

2.5.1Electric Charge 2.5.2Charging an Object 2.5.3Charged Objects 2.5.4Uses of Static Electricity 2.5.5Charge Dangers 2.5.6Calculating Power & Energy Transferred

3

Waves

3.1

Wave Basics

3.1.1Wave Basics 3.1.2Transverse Waves 3.1.3Longitudinal Waves 3.1.4Wave Frequency Formula 3.1.5Wavelength & Amplitude 3.1.6Wave Speed 3.1.7Wave Speed - Calculations 3.1.8Wave Frequency - Calculations 3.1.9Wavefronts 3.1.10Doppler Effect 3.1.11Exam-Style Questions - Wave Speed

3.2

Waves at a Boundary

3.2.1Changing Wave Motion 3.2.2Reflection 3.2.3Refraction 3.2.4Angle of Refraction 3.2.5Refractive Index 1 3.2.6Refractive Index 2 3.2.7Total Internal Reflection 3.2.8Optic Fibres

3.3

Electromagnetic Spectrum

3.3.1Properties of Electromagnetic Waves 3.3.2Gamma Rays 3.3.3X-Rays 3.3.4UV Light 3.3.5Visible Light 3.3.6Infrared Radiation 3.3.7Microwaves 3.3.8Radio Waves 3.3.9End of Topic Test - EM Waves 3.3.10Exam-Style Questions - Electromagnetic Wave Uses

3.4

Sound Waves

3.4.1Sound Waves 3.4.2Sound Waves & Our Ears 3.4.3Sound as a Wave 3.4.4Signal Generators 3.4.5Sound Waves - Oscilloscope Traces 3.4.6Measuring the Speed of Sound - Experiment 3.4.7End of Topic Test - Waves

3.5

Communications

3.5.1Digital & Analogue Signals 3.5.2Benefits of Digital Signals

4

Energy Resources & Energy Transfers

4.1

Energy Changes

4.1.1Energy Stores 4.1.2Conservation of Energy 4.1.3Examples of Energy Conversion 4.1.4Kinetic Energy Stored 4.1.5Gravitational Potential Energy Stored 4.1.6Elastic Potential Energy Stored 4.1.7Changes in Kinetic Energy - Calculations 4.1.8Changes in GPE - Calculations 4.1.9Changes in EPE - Calculations 4.1.10Mechanical Work Done 4.1.11Mechanical Work Done - Equation 4.1.12Power 4.1.13Mechanical Work - Calculations 4.1.14Electrical Work Done- Calculations

4.2

Energy Losses & Efficiency

4.2.1Energy Wastage 4.2.2Energy Transfer Diagrams 4.2.3Efficiency 4.2.4Reducing Unwanted Energy Transfer 4.2.5Efficiency - Calculations 4.2.6Grade 9 - Energy & Efficiency 4.2.7Exam-Style Questions - Energy & Power

4.3

Energy Resources

4.3.1Energy Resources 4.3.2Fossil Fuels 4.3.3Geothermal Energy 4.3.4Wind Energy 4.3.5Water Energy 4.3.6Tidal Energy 4.3.7Nuclear Energy 4.3.8Solar Energy 4.3.9Non-Renewable & Renewable Resources 4.3.10Renewable Energy 4.3.11Limits to Renewable Energy Resources 4.3.12End of Topic Test - Energy

4.4

Thermal Processes

4.4.1Radiation 4.4.2Conduction 4.4.3Molecular Conduction 4.4.4Convection Currents 4.4.5Convection Currents - Examples

5

Solids, Liquids & Gases

5.1

Density & Pressure

5.1.1Density 5.1.2Density Equation 5.1.3Calculating Density 5.1.4Density - Calculations 5.1.5Pressure 5.1.6Atmospheric Pressure 5.1.7Pressure Difference 5.1.8Pressure - Calculations

5.2

Changing State

5.2.1Changes of State 5.2.2States of Matter 5.2.3Specific Heat Capacity 5.2.4Exam-Style Questions - Specific Heat 5.2.5Internal Energy - Calculations

5.3

Ideal Gases

5.3.1Kelvin Scale & Absolute Zero 5.3.2Temperature & the Kelvin Scale 5.3.3Properties of Gases 5.3.4Temperature Increase in a Gas 5.3.5End of Topic Test - Solids, Liquids & Gases 5.3.6Grade 9 - Solids, Liquids & Gases

6

Magnetism & Electromagnetism

6.1

Magnetism

6.1.1Magnetism 6.1.2Magnetic Materials 6.1.3Hard & Soft Magnets 6.1.4Induced Magnetism 6.1.5Magnetic Forces 6.1.6Magnetic Field Patterns 6.1.7Exam-Style Questions - Magnetic Fields

6.2

Electromagnetism

6.2.1The Magnetic Effect of a Current 6.2.2Magnetic Field around a Coil of Wire 6.2.3Magnetic Field Strength 6.2.4The Motor Effect 6.2.5Direction of the Motor Effect 6.2.6The Catapult Experiment 6.2.7Force on a Current Carrying Wire 6.2.8DC Motors 6.2.9Loudspeakers

6.3

Electromagnetic Induction

6.3.1Electromagnetic Induction 6.3.2Induced Potential Difference 6.3.3Alternating Current - The Rotating-Coil Generator

6.4

Transformers

6.4.1Transformers 6.4.2Transformer Equation 6.4.3Step-Up & Step-Down Transformers 6.4.4Principles of Transformer Operation 6.4.5High-Voltage Transmission & Transformers 6.4.6Transformers - Calculations 6.4.7Transformers 2 - Calculations 6.4.8Energy in Transformers 6.4.9Power Losses in Cables 6.4.10End of Topic Test - Magnetism 6.4.11Grade 9 - Transformers 6.4.12Exam-Style Questions - Transformers

7

Radioactivity & Particles

7.1

Atoms

7.1.1Atomic Model 7.1.2Structure of an Atom 7.1.3The Charges of Sub-Atomic Particles 7.1.4Alpha Particles 7.1.5The Model of the Atom 7.1.6Proton & Nucleon Numbers 7.1.7Atoms & Ions 7.1.8Isotopes 1 7.1.9Isotopes 2 7.1.10Carbon Nuclides

7.2

Radioactivity

8

Astrophysics

8.1

Motion in the Universe

8.1.1The Solar System 8.1.2Gravitational Field Strength 8.1.3Orbits 8.1.4Orbital Motion

8.2

Evolution of Stars

8.2.1Life Cycle of a Star like the Sun 8.2.2Life Cycle of a Star Much Bigger than the Sun 8.2.3Absolute Magnitude 8.2.4Hertzsprung-Russell Diagrams 8.2.5Exam-Style Questions - Life Cycle of a Star

8.3

Cosmology

8.3.1The Big Bang 8.3.2Evidence for the Big Bang 8.3.3CMB Radiation 8.3.4End of Topic Test - Astrophysics

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Resistance & Ohms Law - Calculations

Current-Voltage Graph for a Resistor