Watts to Joules: What the Formula Means and How to Use It
Watts measure power, joules measure energy. Here is the formula J = W × t, worked examples for common appliances, and how kWh and joules relate.
Read articleWe have all been there: staring at a spec sheet trying to figure out what watts and joules actually mean for your battery. Stop stressing. Drop your numbers below, and we'll handle the math.
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Here is the reality: a watt is just a rate. It is literally one joule per second (1 W = 1 J/s). To figure out the total energy in joules, you just multiply the power (watts) by how long it is running (seconds). The math is actually pretty simple. Total Energy (Joules) = Power (Watts) × Time (Seconds). But human brains do not naturally process massive numbers of joules. That is why your power company bills you in kilowatt-hours (kWh). One kWh is just a massive chunk of joules—3,600,000 of them, to be exact. Need to reverse it? No problem. To find watts, divide joules by seconds. To find time, divide joules by watts.
J = W × t (Joules = Watts × Seconds)
W = J ÷ t (Watts = Joules ÷ Seconds)
t = J ÷ W (Seconds = Joules ÷ Watts)
Cheat Sheet:
1 kWh = 3,600,000 J
1 Wh = 3,600 J
1 kJ = 1,000 J
1 MJ = 1,000,000 JLet's look at the numbers. You have a 1,500 W space heater running for 90 seconds. 1,500 × 90 = 135,000 Joules (or 135 kJ). Not too bad for a cold morning.
| Scenario | Calculation | Result |
|---|---|---|
| LED bulb (10 W for 1 hour) | 10 W × 3,600 s | 36,000 J (36 kJ or 0.01 kWh) |
| Electric kettle (1,500 W for 90 seconds) | 1,500 W × 90 s | 135,000 J (135 kJ or 0.0375 kWh) |
| Solar panel (300 W for 6 hours) | 300 W × 21,600 s | 6,480,000 J (6.48 MJ or 1.8 kWh) |
| EV charger (7.2 kW for 8 hours) | 7,200 W × 28,800 s | 207,360,000 J (207.36 MJ or 57.6 kWh) |
| Laptop charger (45 W for 30 mins) | 45 W × 1,800 s | 81,000 J (81 kJ or 0.0225 kWh) |
| Power | 1 Second | 1 Minute | 1 Hour | 1 Day |
|---|---|---|---|---|
| 1 W | 1 J | 60 J | 3,600 J | 86,400 J |
| 5 W | 5 J | 300 J | 18,000 J | 432,000 J |
| 10 W | 10 J | 600 J | 36,000 J | 864,000 J |
| 50 W | 50 J | 3,000 J | 180,000 J | 4,320,000 J |
| 100 W | 100 J | 6,000 J | 360,000 J | 8,640,000 J |
| 500 W | 500 J | 30,000 J | 1,800,000 J | 43,200,000 J |
| 1,000 W | 1,000 J | 60,000 J | 3,600,000 J | 86,400,000 J |
| 2,000 W | 2,000 J | 120,000 J | 7,200,000 J | 172,800,000 J |
| 5,000 W | 5,000 J | 300,000 J | 18,000,000 J | 432,000,000 J |
| 10,000 W | 10,000 J | 600,000 J | 36,000,000 J | 864,000,000 J |