Power (Edexcel IGCSE Physics)
Revision Note
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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
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 Tips and Tricks
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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