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Power
100
watts (W)
Energy 1,000 J
Time 10 s
Formula P = E / t

What Is the Joules to Watts Calculator?

This calculator converts a quantity of energy expressed in joules (J) into power expressed in watts (W), given the amount of time over which that energy is delivered. A watt is defined as one joule per second, so power is simply the rate at which energy is transferred or used. This is a universal physics relationship and applies anywhere — no jurisdiction or unit-system caveats are needed.

How to Use It

Enter the total energy in joules and the time in seconds over which it is expended. The calculator divides energy by time to return the average power in watts. For example, a device that uses 3,600 joules over 60 seconds operates at an average power of 60 watts.

The Formula Explained

The governing equation is $$P = \frac{E}{t}$$ where \(P\) is power in watts, \(E\) is energy in joules, and \(t\) is time in seconds. Because 1 watt = 1 joule per second, dividing joules by seconds yields watts directly. This is the average power; instantaneous power may vary if energy is not delivered uniformly.

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Diagram showing energy E divided by time t equals power P
Power equals energy divided by time: \(P = \frac{E}{t}\).

Worked Example

Suppose a kettle element transfers 1,000 joules of energy to water in 10 seconds. $$P = \frac{1{,}000\ \text{J}}{10\ \text{s}} = 100\ \text{W}$$ The element therefore operates at an average power of 100 watts.

Bar comparison showing the same energy over shorter versus longer time changes power
The same energy delivered in less time produces more power.

FAQ

Is this the same as converting joules directly to watts? No — joules measure energy and watts measure power (energy per unit time). You must know the time interval to convert between them.

What if time is zero? Power is undefined when time is zero (division by zero), so the calculator returns 0 in that case. Enter a positive time value.

How do I get back to joules? Multiply power in watts by time in seconds: \(E = P \times t\).

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