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Joule's Law Using Electric Potential

Joule's first law states that the power of heating generated by an electrical conductor is proportional to the product of its resistance and the square of the current.

Heat equals power times time. Power equals the electric potential difference squared divided by the electric resistance.

Formula

{QuantityVariable["Q", "Heat"] == QuantityVariable["P", "Power"]*QuantityVariable["t", "Time"], QuantityVariable["P", "Power"] == QuantityVariable["U", "ElectricPotential"]^2/QuantityVariable["R", "ElectricResistance"]}

symbol description physical quantity
Q heat "Heat"
P power "Power"
t time "Time"
R electric resistance "ElectricResistance"
U electric potential difference "ElectricPotential"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Joule's Law Using Electric Potential"]
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Get the formula:

In[2]:=
FormulaData[ResourceObject["Joule's Law Using Electric Potential"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Joule's Law Using Electric Potential"], {QuantityVariable[ "Q","Heat"] -> Quantity[1, "Joules"], QuantityVariable["t","Time"] -> Quantity[1, "Seconds"], QuantityVariable["P","Power"] -> Quantity[1, "Watts"]}]
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Source Metadata

  • Creator:
  • Date: 1843

Publisher Information