Electric Power is the rate at which work is done. (See also: What is Work, Energy and Power?) Electric Power is the rate at which electricity does work or provides energy. The SI unit of power is the watt, one joule per second.
Electric power is usually produced by electric generators, but can also be supplied by electric batteries. Electric power is usually sold by electric companies as the kilowatt hour (3.6 MJ) which is the product of power in kilowatts multiplied by running time in hours. Electric utilities measure power using an electricity meter, which keeps a running total of the electric energy delivered to a customer.
Definition and Equations for Power
Electric power, is the rate of doing work, measured in watts, and represented by the letter P. The term wattage is used to mean "electric power in watts." The electric power in watts produced by an electric current I consisting of a charge of Q coulombs every t seconds passing through an electric potential (voltage) difference of V is:
P = work done per unit of time = VQ/t = (V)(I) or Power = Voltage x Current or Volts x Amperes
where: Q is electric charge in coulombs, t is time in seconds, I is electric current in amperes and V is electric potential or voltage in volts
Electric Energy
Electrical Energy = Power x Time. The total amount of electrical energy used depends on the total power used by all your electrical devices and the total time they are used in your home.
Electical Energy is measured in kilowatt-hours
Energy =Power x Time or Kilowatt-hours = Kilowatts x Hours
One kilowatt hour is equal to 1000 watts of power used for one hour of time.
How to calcuate cost of electricity
From Con Ed Bill --"We measure yur electricty by how many kilowatt hours ((kWh) you use. One kWh will light a 100 watt bulb for 10 hours". "In 2015, the average annual electricity consumption for a U.S. residential utility customer was 10,812 kilowatthours (kWh), an average of901 kWh per month. Louisiana had the highest annual electricity consumption at 15,435 kWh per residential customer, and Hawaii had the lowest at 6,166 kWh per residential customer."
SAMPLE PROBLEM:
How much energy and power will it take to run a 900 watt air-conditioner for 10 hours straight?
Solution: Energy = Power x Time = 900 watts x 10 hrs = 9000 watt-hours = 9 kWh