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Physics - Costing Electricity (AQA)
If a kettle has a power rating of 5 kW and takes 3 minutes to boil some water, how much electricity has it used?

Physics - Costing Electricity (AQA)

Learn how electricity is billed, what a kilowatt-hour means, and how choosing efficient appliances can cut both wasted energy and the cost of running your home.

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Fascinating Fact:

Cut waste by switching off standby, using efficient appliances, and matching settings to the job, such as lower wash temperatures.

In GCSE Science (Physics), you learn how electrical energy is transferred and charged for. You work with power ratings, kilowatt-hours and tariffs to estimate and compare running costs.

  • Power rating: How quickly an appliance transfers energy every second, usually given in watts (W) or kilowatts (kW).
  • Kilowatt-hour (kWh): A unit of energy on electricity bills, equal to using 1 kW of power for 1 hour.
  • Unit cost: The price the supplier charges for each kilowatt-hour of electrical energy used.
How do you calculate the cost of electricity in GCSE Physics?

To calculate cost, first find the energy used in kilowatt-hours, then multiply by the cost per kilowatt-hour given on the bill or in the exam question.

What is a kilowatt-hour in simple terms?

A kilowatt-hour is the energy used by a 1 kW appliance running for 1 hour. It is the “unit” of energy that electricity companies charge you for.

How can I reduce my electricity bill using Physics ideas?

You can choose lower power appliances, run them for less time, and avoid wasting energy by turning devices fully off instead of leaving them on standby.

1 .
What does the amount of energy transferred by a television depend on?
Its power only
Its power and the length of time it is switched on
The length of time that it is switched on only
The programme that is being shown
The power consumption is often given on a label attached to the appliance
2 .
What is the power in watts of an electric drill that transferred 6 kWh of energy in 36 minutes?
100
1,000
5,000
10,000
Did you remember that 6 kW is 6,000 W?
3 .
A particular kettle has a power rating of 5 kW. It takes 3 minutes to boil enough water for a cup of tea. How much would it cost if electricity costs 10p per unit?
0.25p
2.5p
25p
75p
You need to first convert the 3 minutes to a fraction of an hour (3 ÷ 60 = 0.05) before you can work out how many units were used
4 .
In order to reduce their electricity bill, a home owner changed their electricity supplier who gave them a cheaper rate for any electricity they used between midnight and 6 a.m. This electricity cost only 8p per unit compared to 12p per unit at other times. How much would they have saved if from a total of 589 units 289 had been used at the cheaper price?
£11.56
£59.12
£23.12
£36.00
The total cost works out at £59.12 with the new supplier (£23.12 for the electricity on the cheaper rate and £36.00 for the other 300 units at the full rate)
5 .
A home owner reads their electricity meter on January 1st and again on the last day of the month. The first value was 4,792 kWh, the second reading was 5,381 kWh. If their electricity cost 12p per unit, what was their January bill?
£7.68
£60.00
£70.68
£76.80
Take the difference between the two readings and multiply by 0.12 to get the answer in pounds
6 .
How long could you run a 2 kW hairdryer on 50p if electricity costs 7.5p per unit?
Just over 3 hours
Just under 3 hours
2 1/2 hours
2 hours
The time is worked out by dividing the energy transferred by the power. Before you do that, you need to work out the energy transferred in units then divide the amount of money to be spent by the cost per unit which tells you how many kWh your 50p would buy
7 .
How much energy would be transferred by a computer of power 50 W running for 8 hours?
400 J
400 kWh
40 J
0.4 kWh
Straightforward use of the equation, but did you remember to convert the power into kilowatts (50 W = 0.05 kW)? There is no point converting the hours into seconds as a rough calculation would quickly show you that the answers in joules are nowhere near being right. If you get into the habit of doing a rough calculation in your head first, it can save errors later
8 .
A consumer was told by an electricity supplier that a unit of electricity costs 10 pence. What exactly is a 'unit'?
A kilowatt-hour
A kilowatt
A joule
100 joules
When paying for electricity, you are charged for the number of kilowatt-hours you use
9 .
How many units of electricity would be used by a 2 kW electric fire switched on for 30 minutes?
1
2
10
60
The time in minutes needs converting to hours then you can use the equation E = P x t
10 .
If an appliance consumes (transfers) electrical energy at a rate of 8 kWh and electricity costs 8 pence per unit. What is the cost of running it for 3 hours?
8p
19p
64p
£1.92
8 kWh x 3 hours x 8p gives the answer
You can find more about this topic by visiting BBC Bitesize - Electricity

Author:  Kev Woodward (PGCE, Science & Chemistry Teacher, Quiz Writer)

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