Power (CIE IGCSE Physics: Co-ordinated Sciences (Double Award))

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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

The power equations

  • There are two equivalent forms of the power equation

  • Power can be expressed in terms of work done

P space equals space W over t  

  • Or power can be expressed in terms of energy transferred

  P equals fraction numerator increment E over denominator t end fraction

  • Where:
    • P = power measured in watts (W)
    • W = work done, measured in newton metres (N m)
    • t = time measured in seconds (s)
    • increment E = energy transferred, measured in joules (J)
  • Note that these two equations may be written slightly differently, but they represent the same thing
    • A transfer of energy (work done) over time

Power equation triangle

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

To use a formula triangle, simply cover up the quantity you wish calculate and the structure of the equation is revealed

  • Using an equation triangle is covered in more depth in the revision note Speed & velocity

Worked example

Calculate the energy transferred when an iron with a power rating of 2000 W is used for 5 minutes.

 

Answer:

Step 1: List the known values

  • Power, P space equals space 2000 space straight W
  • Time, t space equals space 5 space minutes 

Step 2: Convert minutes into seconds

  • 1 space min space equals space 60 space straight s

5 space min space cross times space 60 space straight s space equals space 300 space straight s

Step 3: Write down the power equation in terms of energy

P space equals space fraction numerator increment E over denominator t end fraction

Step 4: Rearrange to make energy transferred, ΔE, the subject

increment E space equals space P t

Step 5: Substitute in the known values

increment E space equals space 2000 space cross times space 300

increment E 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 to remember the relationship between power and energy.

In your IGCSE Co-ordinated Sciences exam, you will be expected to use both equations and to be able to rearrange them. You may be required to calculate the energy transferred in a previous question part, so always check back through the question if you seem to be missing a value!

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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.