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© The Maths Studio (themathsstudio.net) A kilowatt-hour (kWh) is a unit of energy commonly used to measure electricity consumption. It is a product of power (measured in kilowatts, kW) and time (measured in hours). One kilowatt-hour is equal to the amount of energy expended when one kilowatt of power is used for one hour. Mathematically, it is expressed as: kWh = kW x hours For example, if you have a device that consumes 1 kilowatt of power and you use it for 3 hours, the energy consumption would be 3 kilowatt-hours. This unit is often used by utility companies to measure and bill for electricity usage by consumers. It's a practical measure for understanding and managing energy consumption in households, businesses, and industries. Watts (W) and joules (J) are units of power and energy, respectively. The relationship between them is based on time. Power is the rate at which energy is used or produced, and it is measured in watts. Energy is the total amount of work done or heat transferred and is measured in joules. The formula to convert between watts and joules is: Energy (Joules) = Power (Watts) x Time (Seconds) This can be rearranged to solve for power or time as needed: Power (Watts) = Energy (Joules) / Time (Seconds) Here's an example: If you have a device with a power rating of 100 watts and it operates for 60 seconds, you can find the energy consumption in joules: Energy (Joules) = Power (Watts) x Time (Seconds) Energy (Joules) = 100 W x 60 s = 6000 J or 6 kJ Conversely, if you know the energy consumed by a device and the time it took to consume that energy, you can find the power: Power (Watts) = Energy (Joules) / Time (Seconds) So, in this example, if you have 6000 joules of energy consumed over 60 seconds, the power would be: Power (Watts) = 6000 J / 60 s = 100 W