Scientific Ontology

V

Electromagnetism

Voltage

Electric potential difference between two points.

volt (V)

Dimension: $[\,M L^2 T^{-3} I^{-1}\,]$

How values of voltage span the physical world (in V, log scale).

Nerve cell

7.00 × 10^-2 V

AA battery

1.50 × 10⁰ V

Mains

2.30 × 10² V

Lightning

10⁸ V

Lower limit10^-6 VUpper limit10⁹ V

Ohm's Law

V = I R

Electrical Power

P = V I

Capacitance

C = \dfrac{Q}{V}

Faraday's Law of Induction

\varepsilon = -\dfrac{d\Phi}{dt}

Capacitor Energy Stored

W = \tfrac{1}{2} C V^2

Electric Potential (point charge)

V = \dfrac{1}{4\pi\varepsilon_0}\dfrac{Q}{r}

RMS Voltage

V_{\mathrm{rms}} = \dfrac{V_0}{\sqrt{2}}

Electrical Power (resistance forms)

P = I^2 R = \dfrac{V^2}{R}

Electrical Energy

W = VIt

Uniform Electric Field

E = \dfrac{V}{d}