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Erg to Joule (erg to J) Calculator & Formula

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Live Conversion • ISO 80000-5:2019 Certified
1 Erg = 1 × 10⁻⁷ Joule
1 erg = 1 × 10⁻⁷ J • 1 J = 1 × 10⁷ erg
Erg to Joule: One Erg is equal to 1 × 10⁻⁷ Joules.
Certified Authority Value
0.00000010
J
Exact: 1 J ≡ 1 × 10⁷ erg
erg
erg
Swap to Joule to Erg
Swap to Joule to Erg
J
J 1 × 10⁻⁷
Quick Values:
Conversion Formula
To convert Erg to Joule, multiply by 1 × 10⁻⁷
erg × 1 × 10⁻⁷ = J

Calculation: 1 erg × 1 × 10⁻⁷ = 1 × 10⁻⁷ J

Common Erg to Joule Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Erg (erg) and Joule (J).

Tap any row to calculate
Erg to Joule: Primary Direct Table (15 Steps)
Erg to Joule Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 erg 1 × 10⁻¹⁰ J 1 × 10⁻¹⁰
0.01 erg 1 × 10⁻⁹ J 1 × 10⁻⁹
0.1 erg 1 × 10⁻⁸ J 1 × 10⁻⁸
0.5 erg 5 × 10⁻⁸ J 5 × 10⁻⁸
1 erg 1 × 10⁻⁷ J 1 × 10⁻⁷
2 erg 2 × 10⁻⁷ J 2 × 10⁻⁷
5 erg 5 × 10⁻⁷ J 5 × 10⁻⁷
10 erg 1 × 10⁻⁶ J 1 × 10⁻⁶
20 erg 2 × 10⁻⁶ J 2 × 10⁻⁶
25 erg 2.5 × 10⁻⁶ J 2.5 × 10⁻⁶
50 erg 5 × 10⁻⁶ J 5 × 10⁻⁶
100 erg 1 × 10⁻⁵ J 1 × 10⁻⁵
250 erg 2.5 × 10⁻⁵ J 2.5 × 10⁻⁵
500 erg 5 × 10⁻⁵ J 5 × 10⁻⁵
1000 erg 0.0001 J 1 × 10⁻⁴
Joule to Erg: Reciprocal Summary
Joule to Erg Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 J 1 × 10⁷ erg 1 × 10⁷
5 J 5 × 10⁷ erg 5 × 10⁷
10 J 1 × 10⁸ erg 1 × 10⁸
50 J 5 × 10⁸ erg 5 × 10⁸
100 J 1 × 10⁹ erg 1 × 10⁹
View Complete 15-Row Joule to Erg Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Erg (erg) and Joule (J):

Erg References:

  • Classical CGS fundamental mechanical energy unit (10^-7 J) 1 erg
  • Kinetic energy of a common small black worker ant crawling across ground 1 erg

Joule References:

  • Mechanical work required to lift a medium culinary apple vertically by one meter 1 J
  • Kinetic energy of a standard tennis ball dropped from waist height 1 J
  • Energy consumed by a 1-watt LED pilot lamp operating for one second 1 J

Tap any benchmark above to automatically calculate its exact equivalent in Joule.

ISQ Dimension: [M L² T⁻²] Coherent SI Unit: joule (J) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Erg to Joule

Converting Erg (Erg) to Joule (J) is a core calculation in Energy and Work, which quantifies the physical capacity to perform mechanical work, generate heat, or emit electromagnetic radiation. This calculation bridges modern MKSA metric standards with the historical Gaussian centimetre-gram-second (CGS) electrostatic and electromagnetic framework. In CGS systems, electromagnetic units (such as statvolts, abvolts, dynes, ergs, and gauss) are formulated directly from mechanical dimensions, with electrostatic-to-electromagnetic relations tied to the speed of light in vacuum (c ≈ 2.99792458 × 1010 cm/s). Exactly 1 Erg translates to 1 × 10⁻⁷ Joule (1 J = 1 × 10⁷ Erg).

Direct Factor1 Erg = 1 × 10⁻⁷ J
Inverse Ratio1 J = 1 × 10⁷ Erg
Conversion ScaleSI to CGS Gaussian / ESU / EMU Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (joule (J)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 Erg = 1 × 10⁻⁷ joule (J)
2. Target SI Bridge (ktarget):1 J = 1 joule (J)
Step-by-step substitution for Erg → Joule:V(J) = V(Erg) × ( 1 × 10⁻⁷ / 1 ) = V(Erg) × 1 × 10⁻⁷
Mathematical FormulaValue in Joule = Value in Erg × 1 × 10⁻⁷Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Erg (Erg) to Joule (J): multiply 50 by 1 × 10⁻⁷ to get 5 × 10⁻⁶ J. At an industrial engineering scale, 1000 Erg converts to 0.0001 J.

Inverse check: 1 J = 1 × 10⁷ Erg.

Understanding Erg and Joule

Erg

Erg
CGS System

An Erg is a unit of energy and work in the centimeter-gram-second (CGS) system.

Applications & Practical Context

In practical energy terms, a classical CGS fundamental mechanical energy unit (10^-7 J) equals 1 erg, a kinetic energy of a common small black worker ant crawling across ground equals 1 erg.

Physical Setup

An energy quantity of 1 Erg corresponds to 1 × 10⁻⁷ J (performing 1 × 10⁻⁷ joules of work or heat transfer).

Conversion to SI Unit: joule (J)
1 Erg = 1 × 10⁻⁷ J

Joule

J
Coherent SI Unit

The joule (J) is the coherent SI-derived unit of energy, work, and heat, named after James Prescott Joule.

Applications & Practical Context

In practical energy terms, a mechanical work required to lift a medium culinary apple vertically by one meter equals 1 J, a kinetic energy of a standard tennis ball dropped from waist height equals 1 J, a energy consumed by a 1-watt LED pilot lamp operating for one second equals 1 J.

Physical Setup

An energy of 1 joule is the work done by a force of 1 newton acting through a displacement of 1 meter, or dissipating 1 watt of electrical power over 1 second.

Conversion to SI Unit: joule (J)
1 J = 1 N·m = 1 W·s

Domain Metrology & Engineering Applications

Governing Law & Equation

First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using isoperibol bomb calorimeters, optical laser pulse joulemeters, and digital revenue-grade electric energy meters.

Primary Industry Sectors

Applied across electric power utility metering, thermal energy storage design, chemical plant process enthalpies, and ballistic impact engineering under international metrology standard ISO 80000-5:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Joule
Classical CGS fundamental mechanical energy unit (10^-7 J)1 erg1 × 10⁻⁷ J
Kinetic energy of a common small black worker ant crawling across ground1 erg1 × 10⁻⁷ J
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by First Law of Thermodynamics (Conservation of Energy: ΔU = Q - W) under ISO 80000 dimensional vector [M L² T⁻²].

Multi-Variable Engineering Bridge Thermal Enthalpy & Continuous Power

Energy to Continuous Operating Power Bridge (Watts • Kilowatts • Megawatts • Horsepower)

Calculate required average generating or consuming power P = E / t over specified timespans, bridging energy [M L² T⁻²] with continuous power [M L² T⁻³].

P = E / t
Vector: [J] ÷ [s] → [W]
Live Calculated Bridge Equivalent:
1 erg at 1 Hour Continuous Run (3,600 s) = 2.7778 × 10⁻¹¹ W
Equals 2.7778 × 10⁻¹⁴ kW • 2.777778 × 10⁻¹⁷ MW • 3.7251 × 10⁻¹⁴ hp
SI Power
2.7778 × 10⁻¹¹
W
Watts
Grid / Utility
2.7778 × 10⁻¹⁴
kW
Kilowatts
Power Plant
2.777778 × 10⁻¹⁷
MW
Megawatts
Mechanical Rating
3.7251 × 10⁻¹⁴
hp
Horsepower (Mechanical)
Metric Horsepower
3.7767 × 10⁻¹⁴
PS
Metric Horsepower (PS)
HVAC Thermal Rating
9.48 × 10⁻¹¹
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (J):
    E = 1 erg × 1 × 10⁻⁷ = 1 × 10⁻⁷ J
  2. 2. Apply Engineering Parameter (t):
    Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
  3. 3. Execute Governing Physical Law in SI Units:
    P = E / t = (1 × 10⁻⁷ J) ÷ (3600 s) = 2.777778 × 10⁻¹¹ W
  4. 4. Convert to Standard Engineering Units:
    • W: 2.777778 × 10⁻¹¹ × 1 = 2.7778 × 10⁻¹¹ W (Watts) • kW: 2.777778 × 10⁻¹¹ × 0.001 = 2.7778 × 10⁻¹⁴ kW (Kilowatts) • MW: 2.777778 × 10⁻¹¹ × 1 × 10⁻⁶ = 2.777778 × 10⁻¹⁷ MW (Megawatts) • hp: 2.777778 × 10⁻¹¹ × 0.001341 = 3.7251 × 10⁻¹⁴ hp (Horsepower (Mechanical)) • PS: 2.777778 × 10⁻¹¹ × 0.00136 = 3.7767 × 10⁻¹⁴ PS (Metric Horsepower (PS)) • BTU/h: 2.777778 × 10⁻¹¹ × 3.4121 = 9.48 × 10⁻¹¹ BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (s) Reference State / Condition Typical Industrial & Engineering Application
1 Second Instant Discharge 1 1.0 s Peak pulse discharge rating
1 Minute Fast Delivery (60 s) 60 60 s EV fast acceleration or battery boost
1 Hour Continuous Run (3,600 s) 3600 3,600 s (1 hour) Standard 1-hour energy delivery
8 Hours (28,800 s) 28800 28,800 s (8 hours) Single shift continuous draw
24 Hours (86,400 s) 86400 86,400 s (24 hours) Full day steady-state consumption
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Frequently Asked Questions

There are exactly 1 × 10⁻⁷ joules (J) in 1 erg (erg). To calculate larger amounts manually, simply multiply your total number of ergs by the conversion multiplier of 1 × 10⁻⁷.

The mathematical formula to convert ergs to joules is: [value] * 1 × 10⁻⁷ = joules. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from joules back to ergs, you must divide your starting value by 1 × 10⁻⁷. Our bidirectional tool automatically computes this inverse equation the moment you type into the joule input field.

1 Joule is larger than 1 Erg. Specifically, 1 Erg equals 1 × 10⁻⁷ joules, meaning 1 Joule is 1 × 10⁷ times larger than 1 Erg (a difference of 7.00 orders of magnitude). Expressing measurements in ergs requires a larger numerical value to represent the equivalent physical magnitude.

A typical classical CGS fundamental mechanical energy unit (10^-7 J) measures 1 erg, which corresponds to 1 × 10⁻⁷ J (Joule).

The conversion between CGS and SI units is precisely 1 erg = 1.00000 × 10⁻⁷ J.

Multiply the Erg value by 10⁻⁷ to find Joules: V(J) = V(erg) × 1.00000 × 10⁻⁷.

To find Ergs from Joules, multiply by ten million: V(erg) = V(J) × 1.00000 × 10⁷.

One Joule is exactly equal to 10⁷ Ergs. The Erg represents the work done by a force of one dyne over one centimeter, while a Joule is one newton over one meter.

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