| Reference | Joules (J) | Millijoules (mJ) |
|---|---|---|
| One food calorie (kcal) | 4184 J | 4184000 mJ |
| An AA alkaline battery | 10000 J | 10000000 mJ |
| Daily adult food intake | 8368000 J | 8.368 × 109 mJ |
| One unit on an electricity bill | 3600000 J | 3.6 × 109 mJ |
| A lightning strike | 1 × 109 J | 1 × 1012 mJ |
The joule is the SI unit of energy, work and heat. Its symbol is J. One joule is the work done when a force of one newton moves its point of application through one metre, and equally the energy dissipated when one watt of power flows for one second.
That equivalence is the reason the unit exists. Before the nineteenth century, heat and mechanical work were treated as different things measured in different units, heat in calories and work in foot-pounds. James Prescott Joule spent years demonstrating that a fixed amount of mechanical work always produces the same amount of heat, most famously by stirring water with a paddle wheel driven by falling weights and measuring the temperature rise. Establishing that exchange rate, the mechanical equivalent of heat, unified mechanics and thermodynamics into one subject.
Because it is defined through the base units, the joule connects everything. It is a newton metre, a watt second, a coulomb volt and a kilogram metre squared per second squared, and every one of those forms appears in ordinary use depending on which branch of physics is speaking. Electrical, mechanical, thermal and chemical energy are all counted in the same unit, which is what makes energy accounting across a system possible at all.
The scale is human-sized in a useful way. Lifting an apple one metre takes about one joule. A heartbeat uses roughly one joule. Dropping a textbook from a desk releases about ten. Below that, joules become clumsy and the prefixed units take over; above it, kilojoules and megajoules do the same.
Food energy is properly measured in joules, and labels in Australia, New Zealand and the European Union give kilojoules alongside or instead of calories. The calorie survives in general use mainly through habit, and the conversion, one calorie equal to 4.184 joules, is fixed by definition rather than measured.
Nutrition, ballistics, battery capacity, laser output, explosive yield and the energy released by an earthquake are all quoted in joules or its multiples, which allows quantities from completely different domains to be compared directly.
One joule equals one newton metre, one watt second, about 0.239 calories, or about 0.000278 watt-hours.
The millijoule is a unit of energy equal to one thousandth of a joule, or 0.001 joules. Its symbol is mJ. It is the first unit on the way down from the joule at which the human body stops being able to feel what is happening, and for that reason it appears wherever a small amount of energy has to be released deliberately and precisely.
Everyday mechanics reaches it easily. A paperclip weighing a gram, dropped from a metre, arrives with about ten millijoules. Pressing a keyboard key takes a couple, turning a page rather less, and the spark that jumps from a doorknob on a dry day carries between one and ten. That last figure is roughly where the threshold of sensation lies, which makes the millijoule the smallest energy a person routinely notices without being told.
Explosion protection is written here. The minimum ignition energy of methane in air is about 0.28 millijoules and of propane about 0.25, while clouds of flour, sugar or metal dust need tens of millijoules. Standards for hazardous areas set the permitted stored energy of a circuit against those numbers, so the whole framework of intrinsic safety turns on quantities in this range rather than on anything a voltmeter shows.
Medical and industrial lasers are rated in millijoules per pulse. A Q-switched laser used for tattoo removal or lithotripsy delivers a few hundred millijoules in a few nanoseconds, and the extreme brevity is what converts a modest energy into a peak power of megawatts. Ophthalmic capsulotomy uses a few millijoules, and dermatological devices are titrated in the same unit because the dose per pulse, not the session, determines the effect on tissue.
Small electrical and acoustic quantities land here too. A one-milliwatt laser pointer emits one millijoule every second. A person speaking loudly radiates roughly a millijoule of sound each second, and a smoke alarm sounder several. A capacitor of one microfarad charged to fifty volts stores 1.25 millijoules, which is the sort of figure printed on flash circuits, ignition modules and camera shutters.
Above it the joule takes over and effects become obviously mechanical; below it the microjoule takes over and effects become invisible. That makes the millijoule the practical boundary of perception, and explains why safety limits, sensitivity thresholds and dose specifications so often stop at three decimal places rather than going further.
One millijoule equals 0.001 joules, about 0.000239 calories, or about 0.000000278 watt-hours.