Power (Edexcel IGCSE Physics: Double Science)

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Power

  • Power is work done per unit time
  • Since work done is equal to energy transferred, power is also energy transferred per unit time

  • Machines, such as car engines, transfer energy from one energy store to another constantly over a period of time
    • The rate of this energy transfer, or the rate of work done, is power

  • Time is an important consideration when it comes to power
  • Two cars transfer the same amount of energy, or do the same amount of work to accelerate over a distance
  • If one car has more power, it will transfer that energy, or do that work, in a shorter amount of time

Two cars with different power ratings doing the same amount of work 

Power cars, IGCSE & GCSE Physics revision notes

Two cars accelerate to the same final speed, but the one with the most power will reach that speed sooner. 

  • Two electric motors:
    • lift the same weight
    • by the same height
    • but one motor lifts it faster than the other

  • The motor that lifts the weight faster has more power

Electric Motors Power, downloadable AS & A Level Physics revision notes

Two motors with different powers

Power ratings

  • Power ratings are given to appliances to show the amount of energy transferred per unit time
  • Common power ratings are shown in the table below:

Power ratings table

Appliance Power rating
A torch 1 W
An electric light bulb 100 W
An electric oven 10 000 W = 10 kW
A train 1 000 000 W = 1 MW
Saturn V space rocket 100 MW
Large power station 10 000 MW
Global power demand 100 000 000 MW
A star like the Sun 100 000 000 000 000 000 000 MW

  • 1 kW = 1000 W (1 kilowatt = 1000 watts)
  • 1 MW = 1 000 000 W (1 megawatt = 1 million watts)

Calculating Power

  • Since power is defined as

The rate of doing work

  • And work is

Work done = energy transferred

 

  • Then, power can be expressed in equation form as

P space equals space W over t

  • Where:
    • W = The work done, measured in joules (J) or newton-metres (Nm)
    • t = time measured in seconds (s)
    • P = power measured in watts (W)

Power, work done and time formula triangle

Power triangle (2), IGCSE & GCSE Physics revision notes

The formula triangle can be used to rearrange the equation

  • For a reminder on how to use formula triangles, see the revision note on Speed

Worked example

Calculate the work done if an iron of power 2000 W is used for 5 minutes.

Answer:

Step 1: List the known values

  • Power, P = 2000 W
  • Time, t = 5 minutes = 5 × 60 = 300 s

Step 2: Write down the relevant equation 

P space equals space W over t

Step 3: Rearrange for energy transferred, ΔE

W space equals space P t

Step 4: Substitute in the known values

W space equals space 2000 space cross times space 300

W space equals space 600 space 000 space straight J

Examiner Tip

Think of power as “energy per second”. Thinking of it this way will help you remember the relationship between power and energy.

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Leander

Author: Leander

Expertise: Physics

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.