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Question: What is the cost of running an AC with average power of 1000 W for 6 hours for 30 days. The cost of ...

What is the cost of running an AC with average power of 1000 W for 6 hours for 30 days. The cost of electric energy is 14.70 per kWh.

Explanation

Solution

Hint : The unit used for the calculation of electrical energy is kilowatt –hour. Then the consumed energy is calculated by multiplying the total power in watts by the total hours used. Also given that the cost of electric energy is 14.70 per kWh. Hence multiplying the consumed power with the price of 1 kwh we get the cost of electric energy.

Complete step-by-step solution:
First we have to calculate the total time in hours. That is,
The total time in hours =30×246=\dfrac{30\times 24}{6}
Also given that,
Average power = 1000W = 1kW
Then the consumed energy =30×246×1=\dfrac{30\times 24}{6}\times 1 = 120 kwh
Hence multiplying the consumed power with the price of 1 kwh we get the cost of electric energy.
Therefore the cost to be paid =120×14.70=120\times 14.70 = Rs.1764
Therefore the cost of running an AC with average power of 1000 W for 6 hours for 30 days is Rs 1764.

Note: Electrical energy is a form of energy by the motion of electrons. Also remember that an electron is a negatively charged particle. The combined form of energy that is the electric current and electric potential forms the energy supplied to the electrical circuit. It is usually sold in kilowatt hours. The fundamental principle of electricity generation was discovered by Micheal Faraday. Other units of electrical energy are joules .