Joule’s law of heating

E868104

Joule’s law of heating is a fundamental principle in electricity stating that the heat produced in a conductor is proportional to the square of the current, the resistance, and the time the current flows.

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All labels observed (3)

Label Occurrences
Joule's law 1
Joule’s law 1
Joule’s law of heating canonical 1

Statements (50)

Predicate Object
instanceOf law of electricity
physical law
alsoKnownAs Joule heating law NERFINISHED
Joule’s first law NERFINISHED
appliesTo electrical conductors
resistive elements
assumes constant resistance during the time interval
ohmic conductor
category classical physics
describes conversion of electrical energy into heat
discoveredBy James Prescott Joule NERFINISHED
explains I^2R losses in power transmission lines
temperature rise in resistors
field electrical engineering
electromagnetism
thermodynamics
hasAlternativePowerForm P = V I
P = V^2 / R
hasFormula Q = I^2 R t
hasPowerForm P = I^2 R
historicalPeriod 19th century
implies power dissipated in a resistor is proportional to the square of the current
isConsequenceOf conservation of energy
isRelatedTo Fourier’s law of heat conduction NERFINISHED
Ohm’s law NERFINISHED
isUsedIn design of electric heaters
design of fuses
electric kettles
electric stoves
incandescent lamps
safety analysis of electrical circuits
thermal management of electronic devices
mathematicalForm Q ∝ I^2 R t
namedAfter James Prescott Joule NERFINISHED
proportionalTo resistance
square of current
time of current flow
relatesQuantity electric current
electrical resistance
heat generated
time
states heat produced in a conductor is proportional to the square of the current, the resistance, and the time of flow
unitOfHeatEnergy joule NERFINISHED
usesSymbol I for current
Q for heat energy
R for resistance
t for time
validWhen current distribution is uniform in the conductor
frequency effects like skin effect are negligible
yearProposed 1840s

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

James Prescott Joule notableFor Joule’s law of heating
James Prescott Joule formulated Joule’s law of heating
this entity surface form: Joule’s law
Ohm's law for electrical conduction combinedWith Joule’s law of heating
this entity surface form: Joule's law