Home All Definitions Unit Gigaohm (GΩ) Unit Definition

Gigaohm (GΩ) Unit Definition

Electric Resistance Unit Definition Header Showcase

The gigaohm is a multiple of the unit ohm (Ω) for electrical resistance. The International System of Units (SI) defines the prefix giga (G) as a factor of 109 or 1000000000. Per this definition, one gigaohm is 109 ohms. The gigaohm is represented by the symbol GΩ.

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 = V2R = 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

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Sources

“Ohm.” Wikipedia, Wikimedia Foundation, 4 June. 2020, en.wikipedia.org/wiki/Ohm.

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