olevel physics

Physics

Conduction of Heat

Conduction of Heat

Understanding how thermal energy transfers through materials without the material itself moving

Heat Transfer through Solids

What is Conduction?

Particle Vibration

Heat conduction occurs when vibrating particles pass their kinetic energy to neighboring particles.

Energy Transfer

Thermal energy moves from the hotter end to the colder end of an object.

Temperature Gradient

The greater the temperature difference, the faster the rate of conduction.

Key Concept

Conduction is the main method of heat transfer in solids. In metals, free electrons also help transfer heat very efficiently.

Particle Model of Conduction

How Heat Travels Through Materials

Cold End

1
2
3
4
5

Particles vibrate slowly

Heat Source →

1
2
3
4
5

Particles vibrate rapidly

Energy transfers from hot to cold as vibrating particles collide with their neighbors

Good vs Poor Conductors

Good Conductors

Materials that transfer heat quickly:

  • Silver - Best conductor
  • Copper - Used in pans
  • Aluminum - Cooking foil
  • Iron - Radiators

High Thermal Conductivity

Poor Conductors (Insulators)

Materials that transfer heat slowly:

  • Wood - Handles
  • Plastic - Coatings
  • Glass - Windows
  • Air - Trapped in insulation

Low Thermal Conductivity

Why are metals good conductors?

Metals have free electrons that can move through the metal and transfer kinetic energy quickly from the hot end to the cold end. This makes them much better conductors than non-metals.

Thermal Conductivity Values

Material Thermal Conductivity (W/mK) Type Common Use
Silver 429 Excellent Conductor Electronics
Copper 401 Excellent Conductor Cooking pans, wires
Aluminum 237 Good Conductor Foil, pans
Iron 80 Moderate Conductor Radiators
Glass 0.8 Poor Conductor Windows
Wood 0.15 Insulator Handles, furniture
Air 0.024 Excellent Insulator Double glazing

Higher values mean better conduction of heat

Interactive Conduction Experiment

See how different materials conduct heat at different rates:

20°C
20°C
20°C
20°C
50%

Observations:

Copper
Heats fastest
Iron
Heats quickly
Glass
Heats slowly
Wood
Heats very slowly

Factors Affecting Conduction

Temperature Difference

Greater temperature difference = faster heat transfer

Cross-sectional Area

Thicker materials conduct more heat

Length

Shorter distance = faster conduction

Material Type

Different materials have different conductivity

Time

Longer time = more heat transferred

Rate of conduction ∝ (Area × Temperature Difference) ÷ (Length × Material Resistance)

Real-World Applications

Cooking Pans

Copper or aluminum bases conduct heat quickly and evenly to food.

  • Metal conducts heat from hob to food
  • Wood/plastic handles are insulators

House Insulation

Materials like fiberglass trap air to reduce heat loss through walls and roofs.

  • Loft insulation
  • Cavity wall insulation
  • Double glazing

Thermal Mugs

Vacuum flasks use a vacuum to prevent conduction and keep drinks hot or cold.

  • Double-walled construction
  • Vacuum prevents conduction

Heat Sinks

Metal fins on electronics conduct heat away from components to prevent overheating.

  • Made of copper or aluminum
  • Large surface area helps cooling

Insulation in Daily Life

Clothing

Trapped air between fibers insulates our bodies

Upholstery

Foam and fabric reduce heat loss

Double Glazing

Air gap between glass panes

Coolers

Expanded polystyrene keeps food cold

Pizza Boxes

Corrugated cardboard traps air

Safety Gear

Heat-resistant gloves for handling hot objects

Solved Examples

GCSE Foundation

Example 1: Identifying Conductors

Question: Explain why a metal spoon in a hot drink becomes hot to touch, but a plastic spoon does not.

GCSE Higher

Example 2: Comparing Conductivity

Question: A copper rod and a glass rod of the same dimensions are heated at one end. After 2 minutes, the copper rod is hot along its entire length, but the glass rod is only hot at the heated end. Explain why.

Grade 10 Challenge

Example 3: Practical Application

Question: A house has single-glazed windows. Suggest two ways to reduce heat loss through the windows and explain how they work.

Heat Transfer Resources

Quick Facts

Best Conductor Silver
Best Insulator Vacuum
Metals conduct via Free electrons
Non-metals conduct via Particle vibration

Related Topics

Quick Tip

Materials feel cold because they conduct heat away from your hand! Metal feels colder than wood at the same temperature because it conducts heat faster.

Thermal Conductivity

Measured in

W/mK

Watts per meter per Kelvin

Common Mistake

Don't confuse conduction with convection! Conduction happens in solids without material moving. Convection happens in fluids with material moving.

conservation and dissipation of energy the smart learners online tutoring physics
Physics

Conservation and dissipation of energy

Conservation & Dissipation of Energy

Understanding how energy is transferred, stored, and wasted in physical systems

Energy cannot be created or destroyed

The Law of Conservation of Energy

"Energy cannot be created or destroyed, only transferred from one store to another or dissipated to the surroundings."

Input Energy

Total energy going into a system

Useful Energy

Energy transferred to where it's wanted

Dissipated Energy

Energy wasted to surroundings

Key Principle

Total energy input = Useful energy output + Wasted energy output

No energy is ever lost - it just becomes less useful!

Energy Stores & Transfers

Kinetic Energy

Energy of moving objects

Example: A moving car, running athlete

Thermal Energy

Energy of hot objects

Example: Hot coffee, warm radiator

Gravitational Potential

Energy due to height

Example: Water behind a dam, lifted weight

Chemical Energy

Energy stored in chemical bonds

Example: Food, batteries, fuel

Elastic Potential

Energy in stretched/compressed objects

Example: Stretched spring, drawn bow

Nuclear Energy

Energy stored in atomic nuclei

Example: Nuclear power, sun

Dissipation of Energy

When energy is transferred, some is always dissipated (wasted) to the surroundings, usually as thermal energy.

Energy Flow in a Light Bulb

10 J/s
Light Energy (Useful)
90 J/s
Heat Energy (Wasted)
100 J/s
Total Input

Only 10% of electrical energy is converted to light - the rest is dissipated as heat!

Common Ways Energy is Dissipated:

  • Friction - Kinetic energy → Thermal energy
  • Sound - Energy transferred as noise
  • Air Resistance - Objects heating the air
  • Electrical Resistance - Wires heating up

Efficiency

Efficiency tells us how much of the input energy is transferred usefully.

As a Decimal

Efficiency =
Useful Output ÷ Total Input

As a Percentage

Efficiency =
(Useful ÷ Total) × 100%

Example: LED Bulb (90% Efficient)

90% Useful

Example: Filament Bulb (10% Efficient)

10% Useful

Efficiency of Common Devices:

LED Bulb
90%
Electric Motor
85%
Car Engine
25%
Filament Bulb
10%
Solar Panel
20%

Sankey Diagrams

Sankey diagrams show energy flow - the width of the arrows represents the amount of energy.

LED Light Bulb

100 J Input
90 J Light
10 J Heat

Efficiency: 90%

Car Engine

100 J Fuel
25 J Motion
75 J Heat + Sound

Efficiency: 25%

The thicker the arrow, the more energy is transferred that way!

Interactive Efficiency Calculator

Calculate Efficiency

75 J
100 J

Efficiency

75%
75%

Wasted Energy: 25 J

Real-World Applications

Electric Vehicles

Electric cars are much more efficient than petrol cars.

85%
Electric Motor
25%
Petrol Engine

Electric cars waste less energy as heat

Home Insulation

Reduces energy dissipation from houses.

30%
Heat Saved
£300
Yearly Saving

Loft insulation, double glazing, cavity walls

LED Lighting

LED bulbs are 90% efficient vs 10% for filament bulbs.

90%
LED
10%
Filament

Uses 90% less electricity for same light

Regenerative Braking

Captures kinetic energy that would otherwise be wasted as heat.

70%
Energy Recovered
30%
Range Increase

Used in electric and hybrid vehicles

Solved Examples

GCSE Foundation

Example 1: Calculating Efficiency

Question: A motor transfers 500J of electrical energy. It produces 400J of kinetic energy. Calculate its efficiency.

GCSE Higher

Example 2: Finding Wasted Energy

Question: A television with 250W input power is 65% efficient. Calculate the power wasted.

Grade 10 Challenge

Example 3: Sankey Diagram

Question: A kettle uses 2000J of electrical energy. 1500J heats the water, the rest is wasted. Draw a Sankey diagram and calculate efficiency.

Energy Efficiency of Common Devices

Device Input Energy Useful Output Wasted Output Efficiency
LED Light Bulb 100 J 90 J (light) 10 J (heat) 90%
Electric Motor 100 J 85 J (movement) 15 J (heat) 85%
Solar Panel 100 J 20 J (electricity) 80 J (heat) 20%
Car Engine 100 J 25 J (movement) 75 J (heat, sound) 25%
Filament Bulb 100 J 10 J (light) 90 J (heat) 10%

Reducing Energy Dissipation

Lubrication

Reduces friction between moving parts, reducing heat dissipation.

Example: Oil in car engines

Insulation

Traps air to reduce thermal energy transfer.

Example: Loft insulation, double glazing

Streamlining

Reduces air resistance, saving energy.

Example: Aerodynamic cars

Low Resistance

Using materials with lower electrical resistance.

Example: Superconductors, thicker wires

Energy Resources

Key Facts

Conservation Law Energy can't be destroyed
Dissipation Energy spreads out
Maximum Efficiency 100% (theoretically)
Wasted Energy Usually heat

Related Topics

Quick Tip

Energy is never 'lost' - it's just transferred to less useful forms. Most commonly, it ends up as thermal energy in the surroundings.

Efficiency Formula

Efficiency =

Useful ÷ Total

× 100% for percentage

Common Mistake

Don't think energy is "used up"! It's always conserved - just transferred to different stores.

the smart learners power physics smart learners
Physics

power

Power

Understanding the rate of energy transfer - from light bulbs to power plants

P = E/t = W/t = VI

What is Power?

Definition

Power is the rate at which energy is transferred or work is done. It tells us how quickly energy is being used or generated.

Key Concept

A high power device transfers energy quickly, while a low power device transfers energy slowly.

Unit

Power is measured in watts (W). 1 watt = 1 joule per second (1 W = 1 J/s)

Real-World Understanding

A 100W light bulb converts 100 joules of electrical energy into light and heat every second. A 2000W kettle converts 2000 joules per second - that's why it heats water much faster!

Power Formulas

Basic Power Formula

P = E / t
P
Power (W)
E
Energy (J)
t
Time (s)

Work Formula

P = W / t
P
Power (W)
W
Work (J)
t
Time (s)

Electrical Power

P = V × I
P
Power (W)
V
Voltage (V)
I
Current (A)

Alternative Electrical

P = I²R
P
Power (W)
I
Current (A)
R
Resistance (Ω)

Formula Rearrangements

Find Energy
E = P × t
Find Time
t = E ÷ P
Find Current
I = P ÷ V
Find Voltage
V = P ÷ I

Interactive Power Calculator

Adjust the sliders to see how power, energy, and time are related:

Energy Transfer Simulator

Power (Watts)

100 W

Time (seconds)

60 s

Energy Used

6000 J
E = P × t

Energy Transfer Rate

100 J/s

Your device transfers 100 joules of energy every second

In 60 seconds, total energy = 6000 J

Household Appliance Power Ratings

Different appliances have different power ratings - see how they compare:

LED Light Bulb

10W
  • Uses 10 J/s
  • Cost: ~£0.03 per day
  • 100 hours on 1 kWh

Laptop

50W
  • Uses 50 J/s
  • Cost: ~£0.15 per day
  • 20 hours on 1 kWh

LED TV (50")

100W
  • Uses 100 J/s
  • Cost: ~£0.30 per day
  • 10 hours on 1 kWh

Refrigerator

150W
  • Uses 150 J/s (avg)
  • Cost: ~£0.45 per day
  • Runs 30% of time

Kettle

2000W
  • Uses 2000 J/s
  • Cost: ~£0.10 per boil
  • 30 minutes on 1 kWh

Electric Shower

9000W
  • Uses 9000 J/s
  • Cost: ~£0.45 per 10 mins
  • 6.7 minutes on 1 kWh

Key Point: High power appliances (like kettles and showers) transfer energy very quickly, which is why they heat things rapidly but also cost more to run.

Real-World Power Examples

Solar Panel

Typical residential solar panel produces about 300W of power in full sunlight.

300W
Peak Power
1.5kWh
Daily Energy
Car Engine

A typical family car engine produces around 100,000W (100kW) of power.

100kW
Engine Power
134hp
Horsepower
Wind Turbine

Modern wind turbines can generate up to 3,000,000W (3MW) of power.

3MW
Peak Power
2000 homes
Can Power
Human Power

An average healthy human can sustain about 100W of mechanical power output.

100W
Sustained
400W
Peak (short)

Energy Efficiency & Cost

Appliance Energy Cost Calculator

Efficiency Ratings (A+++ to G)

A+++ D G
A+++
Most Efficient
Saves ~60% energy
D
Average
Standard efficiency
G
Least Efficient
Costs 3x more to run

Solved Examples

GCSE Foundation

Example 1: Energy Transfer

Question: A 2.5kW kettle is used for 3 minutes. How much energy does it transfer?

GCSE Higher

Example 2: Electrical Power

Question: A hairdryer operates at 230V and draws a current of 4.35A. Calculate its power and the energy used in 5 minutes.

Grade 10 Challenge

Example 3: Cost Calculation

Question: A 2kW electric heater runs for 4 hours daily. If electricity costs 28p per kWh, calculate the weekly running cost.

Power Calculator

Solve Power Problems

Result:

0

Power Rating Comparison

Device Typical Power Energy in 1 hour Cost per hour*
LED Light Bulb 10W 0.01 kWh 0.28p
Laptop 50W 0.05 kWh 1.4p
LED TV (50") 100W 0.1 kWh 2.8p
Fridge Freezer 150W 0.15 kWh 4.2p
Desktop Computer 300W 0.3 kWh 8.4p
Microwave 800W 0.8 kWh 22.4p
Kettle 2000W 2.0 kWh 56p
Electric Shower 9000W 9.0 kWh £2.52

*Based on 28p per kWh electricity rate

Power Resources

Quick Facts

1 kW 1000 watts
1 MW 1,000,000 watts
1 GW 1,000,000,000 watts
1 hp 746 watts
1 kWh 3.6 million J

Related Topics

Quick Tip

Remember: Power is the RATE of energy transfer. A 100W bulb uses energy 10 times faster than a 10W LED, which is why it's brighter but costs more to run!

Handy Formula

P = V × I

Power = Voltage × Current

Common Power Ratings

LED Bulb 5-15W
Phone Charger 5-20W
Laptop 30-100W
TV 50-250W
Kettle 2000-3000W

Common Mistake

Don't confuse power (watts) with energy (joules or kWh)! Power is how FAST you use energy, energy is HOW MUCH you use.

Analogy: Power is like speed (mph), Energy is like distance (miles).

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