Ohm to Siemens Converter
Convert ohm siemens between units instantly. Includes conversion tables, common equivalents, and calculation formulas.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
Ohm to Siemens Converter
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Formula: Siemens = 1 / Ohm | Ohm = 1 / Siemens | I = V / R | P = V^2 / R
Worked example โ 470 Ohm = 2.128 mS, Current at 5V = 10.64 mA
Formula
Siemens = 1 / Ohm | Ohm = 1 / Siemens | I = V / R | P = V^2 / R
Conductance in siemens is the reciprocal of resistance in ohms. This inverse relationship means a low resistance corresponds to high conductance and vice versa. Combined with Ohms Law, if you know the resistance and applied voltage, you can calculate the current (I = V/R) and power dissipation (P = V squared / R).
Worked Examples
Example 1: Resistor to Conductance
Problem:Convert a 470 ohm resistor to siemens and find the current at 5V.
Solution:Conductance = 1 / 470 = 0.002128 S = 2.128 mS Current = V / R = 5 / 470 = 0.01064 A = 10.64 mA Power = V^2 / R = 25 / 470 = 0.05319 W = 53.19 mW
Result:470 Ohm = 2.128 mS, Current at 5V = 10.64 mA
Example 2: Conductance to Resistance
Problem:A sensor has a conductance of 0.5 mS. What is its resistance?
Solution:0.5 mS = 0.0005 S Resistance = 1 / 0.0005 = 2000 Ohm = 2 kOhm At 12V: Current = 12 / 2000 = 0.006 A = 6 mA
Result:0.5 mS = 2000 Ohm = 2 kOhm
Frequently Asked Questions
What is the siemens unit and how does it relate to the ohm?
The siemens (S) is the SI unit of electrical conductance, named after Ernst Werner von Siemens. It is the reciprocal of the ohm: 1 siemens equals 1 divided by 1 ohm, or equivalently, 1 ampere per volt. If a resistor has 50 ohms of resistance, its conductance is 1/50 = 0.02 siemens or 20 millisiemens. The siemens was formerly called the mho (ohm spelled backward), and some older references still use this term.
How do I convert between different siemens prefixes?
Siemens uses standard metric prefixes. One millisiemens (mS) equals 0.001 siemens, and one microsiemens (uS) equals 0.000001 siemens. To convert millisiemens to microsiemens, multiply by 1000. Water conductivity is typically measured in microsiemens per centimeter: pure water is about 0.055 uS/cm, tap water is 50 to 1500 uS/cm, and seawater is about 50,000 uS/cm.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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