Conductance
G = 1 / R
Quick answer
This calculator solves G = 1 / R for Conductance. With Resistance 0.47 kΩ, the result is 2.128 mS. It solves in 2 directions, so you can enter the values you have and get the one you need.
Calculator
Formula
Description
Conductance is the reciprocal of resistance and measures how easily a component passes current, in siemens. It is the natural quantity for analysing parallel circuits, where conductances simply add, just as resistances add in series. Working in conductance often makes node analysis and parallel combinations far simpler than juggling reciprocals of resistance.
Variables
- G — Conductance (S)
- R — Resistance (Ω)
Practical Notes
Parallel conductances add: Gtotal = G1 + G2 + …. The AC generalisation is admittance Y = 1/Z = G + jB, where B is susceptance.
Symbols and units
| Symbol | Meaning | Default unit | Accepted units |
|---|---|---|---|
| G | Conductance | mS | µS, mS, S |
| R | Resistance | Ω | mΩ, Ω, kΩ, MΩ |
Step by step
- 1. What you know: Resistance 0.47 kΩ
- 2. The relation: G = 1 / R
- 3. Substitute: R = 0.47 kΩ
- 4. Result: Conductance = 2.128 mS
Worked examples
Minimum range
Given: Resistance 1 Ω
Result: Conductance = 1 S
Low range
Given: Resistance 10 Ω
Result: Conductance = 100 mS
Typical
Given: Resistance 0.47 kΩ
Result: Conductance = 2.128 mS
High range
Given: Resistance 4.7 kΩ
Result: Conductance = 0.2128 mS
Maximum range
Given: Resistance 47 kΩ
Result: Conductance = 21.28 µS
Solving for each variable
Solve for Conductance
Resistance 1 Ω → 1 S
Solve for Resistance
Conductance 100 µS → 10 kΩ
How Conductance changes with Resistance
| Resistance (input) | Conductance (result) |
|---|---|
| 47 Ω | 21.28 mS |
| 117.5 Ω | 8.511 mS |
| 0.235 kΩ | 4.255 mS |
| 0.3525 kΩ | 2.837 mS |
| 0.47 kΩ | 2.128 mS |
| 0.705 kΩ | 1.418 mS |
| 0.94 kΩ | 1.064 mS |
| 1.88 kΩ | 0.5319 mS |
| 3.29 kΩ | 0.304 mS |
| 4.7 kΩ | 0.2128 mS |
The same result in other units
| Unit | Value |
|---|---|
| µS | 2128 |
| mS | 2.128 |
| S | 0.002128 |
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<p><a href="https://vbatpower.com/formulas/conductance/">Conductance</a> Calculator by vbatpower.com</p>Frequently asked questions
How do you calculate Conductance?
Use G = 1 / R. With Resistance 0.47 kΩ, Conductance works out to 2.128 mS.
What is the formula for Conductance?
The formula is G = 1 / R. Conductance is the reciprocal of resistance and measures how easily a component passes current, in siemens.
How do you find Resistance when you know the other values?
Rearrange for Resistance: with Conductance 100 µS, Resistance is 10 kΩ.
What units does Conductance use?
Conductance is shown in µS, mS, S. Values are held in SI base units internally, so you can mix prefixes without converting by hand.
Related Concepts
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