Energy & Power in Appliances (Oxford AQA IGCSE Combined Science Double Award)

Revision Note

Power & Energy in Appliances

  • The power of an appliance is defined as: 

The rate at which energy is transferred by an appliance

  • 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)

  • This equation can also be written as

P space equals space W over t

  • Where:

    • W = work done measured in joules (J), which is equivalent to energy transferred

Examiner Tip

The equation will be given in both forms on your equation sheet for your exam.

  • 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 amounts of power

Two cars, the one with greater power reaches a greater kinetic energy quicker, 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

Two motors with different amounts of power

The more powerful motor does more work against gravity in a given time, downloadable AS & A Level Physics revision notes
The motor with the most power lifts the weight faster for a given height
  • 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 Rating 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

Power, Current & Potential Difference

  • The power of a device depends on:

    • The potential difference across the device

    • The current flowing through the device

  • The power transferred to an electrical component (or appliance) is given by the equation:

P space equals space I space cross times space V

  • Where:

    • P = power measured in watts (W)

    • V = potential difference measured in volts (V)

    • I = current measured in amps (A)

Worked Example

A 12 V battery supplies a lamp. The lamp is supplied with 2880 J every minute.

The lamp manufacturer can make fuses rated to 3 A, 5 A or 15 A.

Suggest which fuse they have fitted in the lamp.

Answer:

Step 1: List the known quantities

  • Energy transferred, E = 2880 J

  • Time, t = 1 minute = 60 s

  • Potential difference supplied, V = 12 V

Step 2: Find the power equation from the equation sheet

P space equals space E over t

Step 3: Substitute energy and time into this equation

P space equals space 2880 over 60 space equals space 48 space straight W

Step 4: Rearrange the electrical power equation from the equation sheet for the current

P space equals space I space cross times space V

  • Divide both sides by V

P over V space equals space fraction numerator I space cross times space up diagonal strike V over denominator up diagonal strike V end fraction

I space equals space P over V

Step 5: Substitute power and potential difference

I space equals space 48 over 12 space equals space 4.0 space straight A

Step 6: Suggest a suitable fuse

  • A fuse should be rated to just over the normal operating current

  • 3A is below the normal operating current of 4 A

  • 15 A is too high above the normal operating current of 4 A

  • The most suitable fuse is the 5 A fuse

Energy, Potential Difference & Charge

Extension Tier only

  • The potential difference across a component is defined as:

The energy transferred per unit charge

  • In equation form, the energy transferred can be written as:

E space equals space Q space cross times space V

  • Where:

    • E = energy transferred measured in joules (J)

    • V = potential difference measured in volts (V)

    • Q = charge measured in coulombs (C)

  • This can be combined with the power definition to produce the electrical power equation:

  • Recall that power is defined as:

P space equals space E over t

  • Substitute the equation above into this definition

P space equals space fraction numerator Q space cross times space V over denominator t end fraction

  • This is equivalent to

P space equals space Q over t space cross times space V

  • Finally, recall the definition of the current

I space equals space Q over t

  • Substituting this into the previous equation gives the electrical power equation

P space equals space I space cross times space V

Examiner Tip

In your equation sheet, the energy transferred equation is given as

V space equals space E over Q

Make sure you are confident in rearranging this to the form given in this spec point.

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