Kilowatt Hour to Erg

A kilowatt (kW) is a rate of energy use — power. A kilowatt-hour (kWh) is a total amount of energy consumed over time. A 2 kW heater running for 3 hours uses 6 kWh. Your electricity meter tracks cumulative kWh, not kW. Confusing the two is one of the most common mistakes in energy discussions, similar to confusing speed with distance.

The US Energy Information Administration puts the national average at about 886 kWh per month (roughly 29 kWh per day). Homes in hot states like Louisiana average over 1,100 kWh due to air conditioning; mild-climate states like Hawaii average under 500 kWh. A household's bill equals kWh consumed multiplied by the local rate, typically $0.10–$0.30 per kWh.

Most EVs have battery packs of 50–100 kWh. A Tesla Model 3 Long Range holds about 75 kWh; a Rivian R1T about 135 kWh. Charging from empty to full at home costs roughly $7–$20 depending on battery size and local electricity rates. At $0.15/kWh, a 75 kWh charge costs $11.25 — far cheaper than filling a petrol tank for equivalent range.

In the US, residential electricity averages about $0.16/kWh nationally but ranges from $0.10 in Louisiana to $0.45 in Hawaii. In Europe, prices are higher: Germany averages €0.30–0.40/kWh. One kWh runs a modern fridge for about 24 hours, powers a 55-inch LED TV for 10 hours, or charges a smartphone roughly 80 times.

A standard 400 W residential solar panel produces about 1.2–2.0 kWh per day depending on location, orientation, and weather. In sunny Arizona, expect the high end; in cloudy Seattle, the low end. A typical US home rooftop system of 20 panels (8 kW) generates roughly 25–40 kWh per day — enough to cover most or all of the household's electricity needs.

Astrophysics literature built decades of reference data in CGS units before SI became dominant. Key constants like solar luminosity (3.828 × 10³³ erg/s) and supernova energy (10⁵¹ erg, called a "foe") are baked into textbooks and databases. Switching to SI would require rewriting thousands of reference values, so the field maintains CGS by convention.

A core-collapse supernova releases roughly 3 × 10⁵³ ergs total, of which about 99% escapes as neutrinos. The visible light and kinetic energy of the ejected shell account for about 10⁵¹ ergs — a unit so common in astrophysics it has its own name: one "foe" (ten to the Fifty-One Ergs). In joules, that is 10⁴⁴ J, or the Sun's total output over 10 billion years.

An erg per second is the CGS unit of power, equivalent to 10⁻⁷ watts. Astronomers quote stellar luminosities in ergs per second because the numbers align well with astrophysical scales: the Sun emits 3.846 × 10³³ erg/s, and supernovae peak at ~10⁴³ erg/s. Using watts would give the same exponents minus seven — less tidy for a field that already juggles 40-digit numbers daily.

CGS (centimeter-gram-second) is a metric system that predates SI, formalised in the 1870s. It derives mechanical units from cm, g, and s: force in dynes (g·cm/s²) and energy in ergs (dyne·cm). CGS was standard in physics until the mid-20th century, and its Gaussian variant remains preferred in electromagnetism and astrophysics because Maxwell's equations take a simpler form.

One erg is 10⁻⁷ joules — roughly the kinetic energy of a mosquito in flight or the energy of a single grain of sand falling one centimeter. You would need about 10 million ergs to equal one joule, or 42 billion ergs to match the energy in a single dietary Calorie. The erg is useful precisely because atomic and astronomical quantities span so many orders of magnitude.