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Power (Edexcel IGCSE Physics: Double Science)
Revision Note
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
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
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
- 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
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
Step 3: Rearrange for energy transferred, ΔE
Step 4: Substitute in the known values
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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