Electrical Power (WJEC GCSE Science (Double Award)): Revision Note
Energy & Power
Power is defined as
The amount of energy transferred per unit of time
Power can be calculated using
Where:
P = power measured in watts (W)
The watt is equivalent to joules per second (J / s)
E = energy transferred measured in joules (J)
t = time measured in seconds (s)
Energy can be calculated by rearranging this equation into the following form
This equation triangle can be used to rearrange the equation
Energy, Power, Time Equation Triangle
Cover up the variable you need to calculate, and the triangle shows you how the equation is arranged
Examiner Tips and Tricks
The equation will be given on page 2 of the exam paper in the form
Students studying Higher Tier need to be able to rearrange the equation
Students studying Foundation Tier will be given the equation in the correct form required for the calculation
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
Comparison of Two Cars with Different Amounts of Power
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
Comparison of Two Motors with Different Amounts of Power
The motor with the most power lifts the weight faster for a given heigh
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 |
---|---|
Torch | 1 W |
Light bulb | 10 - 100 W |
Electric cooker | 10 000 W or 10 kW (1 kW = 1000 W) |
Railway engine | 1 000 000 W or 1 MW (megawatt) |
Saturn V space rocket | 100 MW |
Large power station | 10 000 MW |
Global demand for power | 10 000 000 MW |
Star (similar in size to the Sun) | 100 000 000 000 000 000 000 MW |
Electrical Power
The power of a device depends on:
The voltage of the device
The current of the device
The power of an electrical component (or appliance) is given by the equation:
Where:
P = power measured in watts (W)
V = voltage measured in volts (V)
= current measured in amps (A)
This equation can be rearranged with the help of a formula triangle:
Equation Triangle for The Electrical Power Equation
Cover up the variable you need to calculate, and the triangle shows you how the equation is arranged
Worked Example
Calculate the voltage across a 48 W electric motor with a current of 4 A.
Use the following equation:
Answer:
Step 1: List the known quantities
Power, P = 48 W
Current, I = 4 A
Step 2: Substitute in the values
Examiner Tips and Tricks
For Higher Tier students, the rearrangement of the equation would not be given in the question. You would be expected to do the rearrangement as part of the calculation and there would be an extra mark available for this.
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