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Statohm (statΩ) Unit Definition
The statohm is the unit of electrical resistance in the electrostatic system of units which was part of the CGS system of units based upon the centimeter (cm), gram (g) and second (s). 1 statohm = 8.987551787x1011 ohms (Ω). The statohm is represented by the symbol statΩ.
Overview
The static units in that system were related to the equivalent electromagnetic units by a factor of the speed of light. Those units were known as absolute units and so the equivalent of the statohm was the abohm (abΩ) and their proportions were: 1 statohm = c2 abohms = 8.987551787x1020 abohms where c is the speed of light in centimeters per second (cm/s).
These units are not common now. The SI unit of resistance is the ohm. The statohm is nearly a trillion times larger than the ohm and is the largest unit of resistance ever used in any measurement system. The statohm as a practical unit is as unusably large as the abohm is unusably small.
Conversions
The siemens (S) is the SI derived unit of electric conductance and admittance, also known as the mho (ohm spelled backwards, symbol is ℧). It is the reciprocal of resistance in ohms (Ω).
Power as a Function of Resistance
The power dissipated by a resistor may be calculated from its resistance, and the voltage or current involved. The formula is a combination of Ohm's law and Joule's law where: P = V ∙ I = V2⁄R = I2 ∙ R. Where:
P is the power
R is the resistance
V is the voltage across the resistor
I is the current through the resistor
A linear resistor has a constant resistance value over all applied voltages or currents. Many practical resistors are linear over a useful range of currents. Non-linear resistors have a value that may vary depending on the applied voltage (or current). Where alternating current is applied to the circuit (or where the resistance value is a function of time), the relation above is true at any instant but calculation of average power over an interval of time requires integration of instantaneous power over that interval.
Since the ohm belongs to a coherent system of units, when each of these quantities has its corresponding SI unit (watt for P, ohm for R, volt for V and ampere for I, this formula remains valid numerically when these units are used (and thought of as being cancelled or omitted).
Other Electric Resistance Unit Definitions
- Abohm (abΩ)
- Attoohm (aΩ)
- Centiohm (cΩ)
- Decaohm (daΩ)
- Deciohm (dΩ)
- Dekaohm (daΩ)
- Exaohm (EΩ)
- Femtoohm (fΩ)
- Gigaohm (GΩ)
- Hectoohm (hΩ)
- Kiloohm (kΩ)
- Megaohm (MΩ)
- Microohm (μΩ)
- Milliohm (mΩ)
- Nanoohm (nΩ)
- Ohm (Ω)
- Petaohm (PΩ)
- Picoohm (pΩ)
- Quectoohm (qΩ)
- Quettaohm (QΩ)
- Ronnaohm (RΩ)
- Rontoohm (rΩ)
- Statohm (statΩ)
- Teraohm (TΩ)
- Volt/Ampere (V/A)
- Yoctoohm (yΩ)
- Yottaohm (YΩ)
- Zeptoohm (zΩ)
- Zettaohm (ZΩ)
Convert to Another Electric Resistance Unit
Related Definitions
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Sources
“Ohm.” Wikipedia, Wikimedia Foundation, 4 June. 2020, en.wikipedia.org/wiki/Ohm.