Electrical Power (WJEC GCSE Physics: Combined Science)

Revision Note

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Leander

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Energy & Power

  • Power is defined as 

The amount of energy transferred per unit of time

  • Power can be calculated using 

P space equals E over t

  • 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

E space equals space P t

  • This equation triangle can be used to rearrange the equation

Energy, Power, Time Equation Triangle

Energy Power Time Triangle

Cover up the variable you need to calculate, and the triangle shows you how the equation is arranged

Examiner Tip

The equation will be given on page 2 of the exam paper in the form E space equals space P t

  • 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

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

Comparison of Two Motors with Different Amounts of Power

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

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:

P space equals space V I

  • Where:
    • P = power measured in watts (W)
    • V = voltage measured in volts (V)
    • I = current measured in amps (A)

  • This equation can be rearranged with the help of a formula triangle:

Equation Triangle for The Electrical Power Equation

pvi-triangle-aqa-gcse-rn

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:

V space equals fraction numerator space P over denominator I end fraction

Answer:

Step 1: List the known quantities

    • Power, P = 48 W
    • Current, I = 4 A

Step 2: Substitute in the values

V space equals fraction numerator space 48 over denominator 4 end fraction

V space equals space 12 space V

Examiner Tip

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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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.