Electricity

Capacitance - formula in LaTeX

Capacitance tells you how much charge a capacitor stores per volt. It depends on how the capacitor is built, not on Q or U. Quantity symbols stay italic while units are set upright: \mathrm{F}, or use the siunitx package.

C = \dfrac{Q}{U}

LaTeX code

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$$
C = \dfrac{Q}{U}
$$

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What the symbols mean

$C$: capacitance (F)
$Q$: charge on a plate (C)
$U$: voltage between the plates (V)

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

Worked example

A capacitor charged to 6 V holds 600 μC on its plate. Micro is written \mu before \mathrm{C}; careful typesetting keeps μ upright, which the siunitx (\micro) or upgreek (\upmu) package provides.

C = \dfrac{Q}{U} = \dfrac{600\,\mu\mathrm{C}}{6\,\mathrm{V}} = 100\,\mu\mathrm{F}

LaTeX commands in this formula

\dfrac: fraction (display)

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 needs the amsmath package - CamteX templates include it in the preamble.

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