The ohm is the SI unit of electrical impedance or, in the direct current case, electrical resistance, named after Georg Ohm.

Definition

An ohm is a resistance that produces a potential difference of one volt when a current of one ampere is flowing through it.

1 Ohm = 1 V/A = 1 m²·kg·s^–3·A^–2

Origin

Ohm, a German physicist, discovered the relation between voltage and current in a metallic conductor, expressed in Ohm's Law.

The unit was first suggested as the ohma by Charles Tilston Bright and Latimer Clark in 1861, although the spelling is recorded in 1864 as ohmad. In 1872 the British Association for the Advancement of Science (B.A.) added the ohm to the cgs system of units. A revised version of the B.A. Ohm was adopted into the SI by CIPM Resolution 2, 1946.

Explanation

R is 1 ohm if V = one volt and I = 1 ampere

By definition from Ohm's Law, a device has a resistance of one ohm if a voltage of one volt causes a current of one ampere to flow (R = V/I). Alternatively and equivalently, a device that dissipates one watt of power with one ampere of current flowing through it has a resistance of one ohm (R = P / I ²).

Since 1990, the ohm has been maintained internationally using the quantum Hall effect, where a conventional value is used for the 'von-Klitzing constant', fixed by the 18th General Conference on Weights and Measures as R_{K-90} = 25812.807 Ohm .

The complex quantity impedance is a generalisation of resistance. Its real part is resistance and its imaginary part is reactance. Impedance, resistance and reactance all have units of ohms.

The symbol for the ohm is the Greek capital letter omega . If the Greek letter cannot be used, the word ohm is used instead. The various guides for the use of the International System of Units do not explicitly forbid the elision of the final "o" of some SI prefixes, although there is nothing in them to suggest that it is allowable, either. As a result, one is just about as likely to see "kilohm", "kiloohm" and even "kilo-ohm", and the same holds true for hecto-, micro-, nano-, pico-, femto-, atto-, zepto-, and yocto-. The only other SI unit to suffer from this kind of orthographic uncertainty is the ampere. In the particular case of the ohm, one even sees the "a" prefixes lose that vowel: hence megohm and gigohm. Higher prefixes are rarely used with ohm. In the other direction, milliohms (or millohms) are seen where the resistance of cables, etc., are measured.

Units of ohms, kilohms (10³ Ohm ) and megohms (10⁶ Ohm ) are used in electronic design documentation. On schematic diagrams and parts lists kilohms are abbreviated "K" and megohms are abbreviated "M". Thus, 33 kilohms would be rendered as 33K, and 5.1 megohms would be 5.1M. Another commonly used convention is that the multiplier is used to replace the decimal point, so that 5.1 megohms can also be represented as 5M1. This convention is used because a decimal point can be difficult to see in small or cluttered print. Values less than 1K are rendered either (a) without any symbol, or (b) with an "R", following the number; so 680 ohms can be shown as 680 or 680R. Resistors are usually identified by a reference designator, R, and a cardinal number, e.g., R12.

Conversions