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Question: Commercial unit of electric energy is kilowatt hour\(\left ({kWh} \right)\). Convert \(1{\text {kWh}...

Commercial unit of electric energy is kilowatt hour(kWh)\left ({kWh} \right). Convert 1kWh1{\text {kWh}} into Joule.

Explanation

Solution

Here, we have to define the commercial unit of electric energy and how the commercial unit of electric energy is different from domestic. And convert one kilowatt hour in joules. How an electrical device consumes one kilowatt energy for one hour in a commercial place i.e. in factories or other business sectors.

Complete step by step solution:
As we know, electrical energy is measured in kilowatt hour. The commercial unit of electrical energy is kilowatt hour (kWh)\left ({kWh} \right)
The kilowatt-hour is a unit of energy equivalent to one kilowatt 1kWh1{\text {kWh}} of power expended for one hour (1h)\left ({1h} \right) of time. It does not mean the number of kilowatts you are using per hour. It is simply a unit of measurement that equals the amount of energy you would use if you kept a 10001000 watt appliance running for an hour. So, if you switched a 100100 watt light bulb, it would take 10hours10{\text {hours}} to rack up 1kWh1{\text {kWh}} of energy. The kilowatt-hour is not a standard unit in any formal system, but it is commonly used in electrical applications. kWhkWh is the unit of electrical energy, it is the same for both commercial as well as domestic. Commercial units are having different rates of charge and it is more than domestic unit rates. It is basically applied on power consumption in factories or other business sectors which consumes more electrical energy.

1kWh1{\text {kWh}} , can be converted to joule as
1kWh1{\text {kWh}} == 1kW1{\text {kW}} ×\times 1hour1hour
As we know that, 1kW=1000W1kW = 1000{\text {W}}
And 1hour=3600sec1hour = 3600{\text {sec}}
1kWh=1000W×3600sec1{\text {kWh}} = 1000{\text {W}} \times 3600{\text {sec}}
1kWh=3.6×106J1{\text {kWh}} = 3.6 \times {10^6} {\text {J}}

Note: Here, the commercial unit of electric energy is kilowatt hour and 1kWh=3.6×106J1{\text {kWh}} = 3.6 \times {10^6} {\text {J}} . So, be careful while converting the kilowatt hour into joules. And the appliances working for an hour are kWhkWh. It is measured in SI units i.e. joule.