Convert energy units — joules, kilowatt-hours, calories, BTU, electron volts and more.
| Unit | Name | Value |
|---|---|---|
| 0.001 kWh | 3.6e+10 erg | |
| 0.01 kWh | 3.6e+11 erg | |
| 0.1 kWh | 3.6e+12 erg | |
| 1 kWh | 3.6e+13 erg | |
| 5 kWh | 1.8e+14 erg | |
| 10 kWh | 3.6e+14 erg | |
| 50 kWh | 1.800e+15 erg | |
| 100 kWh | 3.600e+15 erg | |
| 1000 kWh | 3.600e+16 erg |
Formula: Erg = Kilowatt-Hour × 3.6000e13
Multiply any kilowatt-hour value by 3.6000e13 to get erg.
Reverse: Kilowatt-Hour = Erg × 2.7778e-14
Common kilowatt-hour values — factor: 1 kWh = 3.6000e13 erg
| Kilowatt-Hour (kWh) | Erg (erg) | Context |
|---|---|---|
| 0.001 kWh | 3.600e+10 erg | 1 Wh |
| 0.01 kWh | 3.600e+11 erg | 10 Wh |
| 0.1 kWh | 3.600e+12 erg | Phone charge |
| 0.5 kWh | 1.800e+13 erg | Half kWh |
| 1 kWh | 3.600e+13 erg | 1 kWh |
| 5 kWh | 1.800e+14 erg | 5 kWh |
| 10 kWh | 3.600e+14 erg | Washing machine |
| 30 kWh | 1.080e+15 erg | Daily home use |
| 100 kWh | 3.600e+15 erg | Monthly fraction |
| 500 kWh | 1.800e+16 erg | EV range |
| 1,000 kWh | 3.600e+16 erg | Monthly home |
| 1e+04 kWh | 3.600e+17 erg | Annual home |
| 1e+05 kWh | 3.600e+18 erg | Large commercial |
| 1e+06 kWh | 3.600e+19 erg | Small factory |
| 1.000e+09 kWh | 3.600e+22 erg | Power plant day |
1 kWh = 3.6000e13 erg. Memorize for instant estimates.
Use 3.6000e13 as a quick mental multiplier.
Multiply result by 2.7778e-14 to recover the original kWh value.
Reads monthly bills and compares appliance energy use in kWh.
Sizes solar systems based on kWh consumption and production estimates.
Tracks charging cost and range efficiency in kWh per 100 km.
Measures building energy consumption and identifies savings in kWh.
Plans grid capacity, demand response, and billing in kWh and MWh.
Monitors real-time appliance consumption in kWh via smart meters.
The kilowatt-hour (kWh) is the commercial unit of electrical energy, equal to the energy consumed by a 1,000-watt appliance in one hour (3,600,000 joules). It became standard with the growth of the electrical grid in the late 19th century.
Electricity bills worldwide are denominated in kWh. A typical household uses 300–1,000 kWh per month. An electric car uses about 15–25 kWh per 100 km. Solar panels generate 250–400 kWh per year per panel.
Interesting fact: The average price of electricity in the US is about $0.12 per kWh. One kWh can run a 100W light bulb for 10 hours, charge a smartphone about 100 times, or power a laptop for 2-3 days.
The erg is the unit of energy in the CGS (centimeter-gram-second) system, equal to exactly 10⁻⁷ joules. It was defined by the British Association for the Advancement of Science in 1882 as the work done by a force of one dyne over one centimeter.
Ergs were widely used in 19th and early 20th century physics before SI standardization. They remain in use in astrophysics (stellar luminosities in erg/s) and some older scientific literature.
Interesting fact: The Sun radiates about 3.8 × 10³³ ergs per second. A mosquito in flight exerts about 100 ergs of energy per wingbeat. One joule = 10,000,000 ergs exactly.
Converting kilowatt-hour to erg is common across energy, nutrition, engineering, and science. Different sectors use different energy units — joules in physics, kcal in nutrition, kWh in electricity, and BTU in HVAC — making accurate conversion essential for cross-disciplinary work and international comparisons.
Quick reference: 5 kWh = 1.8000e14 erg and 10 kWh = 3.6000e14 erg. Reverse: 1 erg = 2.7778e-14 kWh. Exact factor: 1 kWh = 3.6000e13 erg.
All conversions use IEEE 754 double-precision arithmetic, accurate to at least 8 significant figures.