The Cost of Using Electrical Appliances
Transfer of Energy

Much of the energy transferred in homes and industry is electrical energy. This is because it is easily transferred as:
  • Heat (thermal energy)
  • Light
  • Sound
  • Movement (kinetic energy)

For example, a hairdryer transfers electrical energy as heat and movement (kinetic). Some energy is wasted as sound.

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Efficiency

The more useful energy an appliance transfers, the more efficient it is.

Efficiency can be calculated using the following equation.

 

efficiency =

useful energy transferred by device
total energy supplied to device
 

For example, if the hairdryer transferred 1 000 J of electrical energy into 350 J of heat, 150 J of movement energy and 500 J of sound, its efficiency would be calculated as follows.

 

Efficiency

=

350 + 150
1 000

    = 500
1 000
 
    = 0,5  

12.4_electrical_efficiency

The amount of energy that an appliance transfers depends on:

  • How long the appliance is switched on for
  • How fast the appliance transfers energy (its power)

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Measuring Energy and Calculating Cost

Energy is measured in joules (J), but this is a very small amount of energy. Instead electricity supply companies use a much bigger unit called the kilowatt-hour (kWh), or simply a unit.

The power of an appliance is measured in watts (W) or kilowatts (kW).

1 kW = 1 000 W

The number of kilowatts-hours of energy transferred to an appliance is calculated using this formula.

 

energy transferred

=
power

x

time

 
 

(kilowatt-hour, kWh)

 

(kilowatt, kW)

 

(hour, h)

 

The cost of this energy can be calculated using this formula.

  total cost
=
number of units
x cost per unit  

For example, if a washing machine has a power rating of 3 kW and is used for four hours per week what is the total cost if one unit of electrical energy costs 8 cents?

  number of units used
=
power x time
   
=
3 x 4
   
=
12 units    
           
  total cost = number of units x cost per unit 
    =
12
x   8 cents
    =
96 cents
     

The total amount of electrical energy transferred by a device can be calculated using:

 

energy transferred

=
power
x
time  
 
(joule, J)
 

(watt, W)

  (second, s)  

So, to calculate the amount of energy transferred by the same washing machine switched on for 4 hours:

  power in watts
=
3 000          
  time in seconds
=
4 x 60 x   60    
   
=
14 400          
               
  energy transferred
=
power x   time    
   
=
3 000 x   14 400    
   
=
43 200 000 J    

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