Electric Conductance & Admittance Calculator

Circuit Theory, Admittance & Electric Conductance Metrology

Electric Conductance is the measure of how easily an electric current flows through an element:

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• Universal Electric Conductance Conversion Formulas (BIPM Standards)**:

1 Siemens (S) 1 Mho () = 10^3 mS = 10^6\ μS = 10^-9 abmho

1 mS = 10^-3 S = 1,000\ μS = 0.001\

1 Statmho (stat) = 1.11265 × 10^-12 Siemens

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• Parallel Circuit Laws & Power Equations**:

R = (1) / (G) (Equivalent Resistance in Ohms, Ω)

I = G × V (Conducted Current in Amperes)

P = G × V^2 = (I^2) / (G) (Joule Power Dissipation in Watts)

G_parallel = G_1 + G_2 + G_3 + (Direct Linear Summation in Parallel)

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• Standard Conductance & Transconductance Benchmarks**:

• Ultra-Pure Water Cell: 0.055\ μS R = 18.2 MΩ·cm Deionized water

• Grid Insulator Leakage: 1.0\ μS R = 1.0 MΩ P = 10.0 kW @ 100kV

• 50-Ohm RF Admittance: 20.0 mS R = 50.0\ Ω Transmission line matching

• MOSFET Transconductance (g_m): 50.0 mS R = 20.0\ Ω I = 50.0 mA @ 1V

• 8-Ohm Loudspeaker: 125.0 mS R = 8.0\ Ω 100.0W @ 28.3V

How to Use This Calculator

Enter your Electric Conductance (G = 1/R) (e.g. 50 in G), From Conductance Unit — choose from Millisiemens (mS = 10⁻³ S - MOSFET Transconductance), Siemens (S = A/V = Ω⁻¹ - SI Base Unit), Microsiemens (µS = 10⁻⁶ S - Water / Shunt Conductance), To Conductance Unit — choose from Siemens (S), Millisiemens (mS), Microsiemens (µS), Circuit Voltage (V in Volts) (e.g. 1.0 in V), and Electronic & RF Benchmark — choose from Custom Conductance, Power MOSFET Small-Signal Transconductance (g_m = 50.0 mS @ 1V) → 0.050 S | R = 20.0 Ω | I = 50.0 mA | P = 50.0 mW, 50-Ohm RF Transmission Line Admittance (Y_0 = 20.0 mS) → 0.020 S | R = 50.0 Ω characteristic. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Multipliers to SI Base Unit Siemens (S = A/V = 1/Ohm)

Worked Example

An RF design engineer matching a 50-Ohm transmission line converts the 50-Ohm characteristic impedance to its equivalent admittance of 20.0 mS (0.020 Siemens) to directly solve parallel shunt matching stubs on a Smith chart.

Understanding Your Result

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