Resistance to Conductance Calculator
Convert electrical resistance in Ohms (Ω) to conductance in Siemens (S), or convert conductance to resistance. Settle circuit parameter nodes dynamically.
Resistance to Conductance Calculator
How to Use the Resistance to Conductance Calculator
To convert electrical resistance to conductance, follow these steps:
- 1Enter Resistance: Input the resistance value of the component or circuit path.
- 2Select Resistance Unit: Choose Ohms (Ω), kilohms (kΩ), or megohms (MΩ).
- 3Select Output Unit: Choose Siemens (S), milliSiemens (mS), or microSiemens (µS).
- 4Calculate: Click the "Calculate to Conductance" button to evaluate.
How to Calculate Resistance to Conductance
In electrical engineering, conductance (G) measures how easily electrical current flows through a conductor. It is the mathematical reciprocal of resistance (R), which is the opposition to current flow. As resistance increases, conductance decreases. Conductance calculations are useful when analyzing parallel circuits, where branch conductances can simply be summed together.
Real-Life Sizing Scenarios
Scenario 1: Sizing Conductance for a 50 Ω Heating Element
An engineer determines the equivalent conductance of a resistive space heater element rated at 50 Ω:
G = 1 ÷ R = 1 ÷ 50 Ω = 0.02 Siemens (or 20 mS)
Scenario 2: Sizing Conductance for a 1.2 MΩ Analog Feedback Resistor
A design engineer computes the conductance of a high-value 1.2 MΩ resistor in an operational amplifier feedback loop:
G = 1 ÷ R = 1 ÷ (1.2 × 10^6 Ω) = 8.33 × 10^−7 Siemens (or 0.833 µS)
Step-by-Step Manual Sizing Guide
- 1Identify electrical parameters: Determine the resistance (R) value.
- 2Scale to base physical units: Convert the resistance to Ohms (Ω) (e.g., 2.5 kΩ = 2500 Ω).
- 3Solve the reciprocal division: Apply the formula:
G = 1 ÷ Rto compute conductance in Siemens.
Resistance to Conductance Chart
The table below displays standard resistance values in Ohms and their equivalent conductance values in Siemens, milliSiemens, and microSiemens:
| Resistance (R) | Conductance (S) | Conductance (mS) | Conductance (µS) |
|---|---|---|---|
| 1 Ω | 1 S | 1,000 mS | 1,000,000 µS |
| 10 Ω | 0.1 S | 100 mS | 100,000 µS |
| 50 Ω | 0.02 S | 20 mS | 20,000 µS |
| 100 Ω | 0.01 S | 10 mS | 10,000 µS |
| 500 Ω | 0.002 S | 2 mS | 2,000 µS |
| 1 kΩ (1,000 Ω) | 0.001 S | 1 mS | 1,000 µS |
| 10 kΩ (10,000 Ω) | 0.0001 S | 0.1 mS | 100 µS |
| 1 MΩ (1,000,000 Ω) | 0.000001 S | 0.001 mS | 1 µS |
Resistance to Conductance Formula
The fundamental equation relating conductance (G) to resistance (R) is:
G = 1 ÷ R
where G is measured in Siemens (S) and R is measured in Ohms (Ω).
Frequently Asked Questions (FAQs)
Conductance is the exact reciprocal of resistance. Mathematically, G = 1 ÷ R and R = 1 ÷ G. When resistance increases, conductance decreases proportionally.
Conductance (G) is calculated by dividing 1 by the resistance (R) in Ohms: G = 1 ÷ R. In an active circuit, it is also calculated as current divided by voltage: G = I ÷ V.
Resistance is related to material resistivity (ρ) by R = ρ × (l ÷ A). Conductivity (σ) is the reciprocal of resistivity (1 ÷ ρ), so the formula is:
R = l ÷ (σ × A) or σ = l ÷ (R × A),
where l is conductor length and A is cross-sectional area.
Conductance is measured in Siemens (S). In older references, the unit of conductance is the "mho" (Ohm spelled backward), symbolized by ℧. It is equivalent to 1 ÷ Ohm (Ω^−1).
The equations are:
G = 1 ÷ R and R = 1 ÷ G.
Conductivity (σ) is calculated using conductance (G), conductor length (l), and cross-sectional area (A):
σ = G × (l ÷ A).
