Electricity

Ohm's law - formula in LaTeX

The voltage across a resistor is proportional to the current through it; it holds for components with constant resistance. The \, command adds a thin space between R and I. English-language texts usually write V for voltage where continental notation uses U.

U = R\,I

LaTeX code

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$$
U = R\,I
$$

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What the symbols mean

$U$: voltage (V)
$R$: resistance (Ω)
$I$: current (A)

An electricity and magnetism formula - the basis of circuit problems and electrical lab reports.

Worked example

A 4 Ω bulb connected to a 12 V battery, with the law rearranged to I = U/R. The ohm sign is \Omega: capital Greek letters are upright in math mode, so they need no \mathrm.

I = \dfrac{U}{R} = \dfrac{12\,\mathrm{V}}{4\,\Omega} = 3\,\mathrm{A}

LaTeX commands in this formula

\,: thin space, e.g. between factors of a product

How to use this formula in LaTeX?

Copy the code with the button above - $$…$$ is centered display math.
Paste it into the CamteX editor, Overleaf or any LaTeX document.
Inside a sentence, use single $…$ instead of double.
The formula works without extra packages.

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