How Many Joules are There in 1 Kilowatt Hour

How Many Joules are There in 1 Kilowatt Hour

Edited By Team Careers360 | Updated on Apr 06, 2023 02:41 PM IST

Introduction

A kilowatt-hour is equal to 3,600,000 joules. When an electric-powered strength of 1 kilowatt flows via a conductor for one hour then electric electricity which flows via the conductor is a one-kilowatt hour. A kilowatt-hour is a unit of energy used to describe the energy consumption of large machines and the consumption of electricity in homes and industries. It is also a common unit representation in power engineering.

The joule is the SI base unit of energy. It is equal to

1 \frac{\mathrm{kgm}^2}{\mathrm{~s}^2} 1680771511752

Physically, it takes 1 joule of energy to lift an apple 1 meter. This should not be confused with the watt, which is a unit of power and a percentage of how quickly energy is consumed.

The joule is the SI base unit of energy, but in practice, the kilowatt hour (kWh) is often used instead. This is because a joule is a very small amount of energy. To see how small 1 joule is, 1 litre of gasoline has 31,536,000 joules of energy. One kilowatt hour equals 3,600,000 joules. One litre of petrol, therefore, contains 8.76 kW/h of energy, which is a much more manageable figure.

Electrical energy is usually sold to consumers in kilowatt-hours. Operating costs for electrical equipment are calculated by multiplying the device's power consumption (kilowatts) by its operating hours (hours) to calculate the price per kilowatt hour. Each state power board in India sets a unit price for electricity usage.

Energy Consumption = Power Consumption (KWH) x Hours of Operation

Energy Consumption = Power Consumption (KWH) x Hours of Operation

Power Cost = Energy Consumption x Unit Usage Cost.

Kilowatt-hours in joules

1 kilowatt means 1000 watts of power and 1 hour contains 3600 seconds. Therefore, when trying to express kilowatt hours in joules,

Step 1: Given Data

Power Power = 1 kW

Time time = 1 hr

Step 2: Formula used

Energy = Power × time

Step 3: Conversion to Joules

We know that,

Power = 1 kW = 1000 W (1000J/s)

Also,

1 \mathrm{hr}=60 \mathrm{~min} \times 60 \mathrm{~s}=3600 \mathrm{~s}

1680771511516

Joules is the unit of energy.

Also, energy Energy = Power × time

\begin{aligned}

1 \mathrm{kWh} & =1,000 \mathrm{~J} / \mathrm{s} \times 3,600 \mathrm{~s} \\

1 \mathrm{kWh} & =3,600,000 \mathrm{~J} \\

1 \mathrm{kWh} &= 3.6 \times 10^6 \mathrm{~J}

\end{aligned}

1680771511632

Therefore we can say that 1-kilowatt hour is equal to 3.6 \times 10^6 \mathrm{~J} 1680771511363.

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