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."

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Input Energy

Total energy going into a system

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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.

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