Calculating Energy Transfer In Appliances (AQA GCSE Combined Science: Synergy: Physical Sciences): Revision Note

Exam code: 8465

How to Calculate Energy Transferred

  • Work is done when charge flows through a circuit

    • Work done is equal to the energy transferred

  • The amount of energy transferred by electrical work in a component (or appliance) depends upon:

    • The current, I

    • The potential difference, V

    • The amount of time the component is used for, t

  • When charge flows through a resistor, for example, the energy transferred is what makes the resistor hot

  • The energy transferred can be calculated using the equation:

E = P × t

  • Where:

    • E = energy transferred in joules (J)

    • P = power in watts (W)

    • = time in seconds (s)

  • Since P = IV, this equation can also be written as:

E = I × V × t

  • Where:

    • I = current in amperes (A)

    • V = potential difference in volts (V)

  • The energy transferred electrically also depends on the charge and potential difference:

E = Q × V

  • Where:

    • Q = charge in coulombs (C)

    • V = potential difference in volts (V)

  • When charge flows around a circuit for a given time, the energy transferred from the cell or battery is equal to the energy transferred to all the components in the circuit

  • These can be rearranged using the following formula triangles:

Formula triangle showing the relationship between energy transferred E, charge Q, and potential difference V
Energy, charge, potential different formula triangle
Formula triangle showing the relationship between energy transferred E, power P, and time t
Energy, power, time formula triangle

Worked Example

Calculate the energy transferred in 1 minute when a current of 0.7 A passes through a potential difference of 4 V.

Answer:

Step 1: Write down the known quantities

  • Time, t = 1 minute = 60 s

  • Current, I = 0.7 A

  • Potential difference, V = 4 V

Step 2: Write down the relevant equation

E = I × V × t

Step 3: Substitute in the values

E = 0.7 × 4 × 60 = 168 J

Examiner Tips and Tricks

'Energy transferred' and 'work done' are often used interchangeably in equations, for example in the previous topic on Power. Always remember that the time t in the above equations must be converted into seconds

Students often find it really confusing that there are so many different equations for energy. 

When you begin a calculation, start by writing out the known variables. These are the values you are given in the question. Once you know which variables you have and which variable you are calculating, you can use these to select the correct equation. So if you are given power and time, you would use E = Pt, but if you are given charge and potential difference, you would use E = QV.

Sometimes, there may be more than one variable missing, and you may have calculated a value for it in an earlier part of the question. For harder questions, you may need to use another equation to calculate the missing variable. By listing the known quantities at the start of your calculation, you plan how to get to your answer and choose the most appropriate equations for the task.

Power Ratings

  • The power of an appliance is the amount of energy it transfers by electrical working every second

  • Every electrical appliance has a power rating which tells you how much energy it needs to work

  • The power rating for domestic electrical appliances is normally given on a label. This will include:

    • The potential difference required to make the device work (eg. 230 V in the UK)

    • The frequency of the supply (eg. 50 Hz in the UK)

    • The power rating in Watts (this varies for each device)

  • The higher the power rating, the faster the energy is transferred

    • For example, a 2000 W kettle means the kettle transfers 2000 J of energy per second 

  • The different power ratings of various household appliances are listed in the table below as examples:

Applicane

Power in W

Clock

10

Lamp

50

Drill

800

Iron

1250

Kettle

2400

Hot water heater

3000

Electric oven

12000

  • Care must be taken not to plug an appliance into a mains supply that has a voltage much higher than stated on the label, for example in another country that has a higher mains voltage

    • This could cause the appliance to fuse or set on fire and become damaged

Image of a mains appliance label showing rated voltage of 230 V, frequency of 50 Hz, and power rating in watts
Mains electric appliances, such as this kettle, are fitted with labels that list important information such as the power and voltage of the appliance

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