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Electrical Conductance Calculator

Calculate Conductance G = 1/R in Siemens

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R → G Series G Parallel G

Resistance R (Ω)

Conductance Formulas

G = 1/R (siemens, S)

Parallel: Gt = G1 + G2 + ... + Gn

Series: 1/Gt = 1/G1 + 1/G2 + ... + 1/Gn

I = V × G (Ohm law using conductance)

Conductance is the reciprocal of resistance. It measures how easily current flows. High conductance = low resistance = easy current flow. The unit siemens (S) is named after Ernst Werner von Siemens. In circuit analysis, conductance simplifies calculations for parallel circuits since parallel conductances simply add.

⚠ Conductance rules are the dual of resistance rules. Parallel resistance: reciprocals add. Parallel conductance: values directly add. Series resistance: values add. Series conductance: reciprocals add. Always check if you are working with R or G!

Understanding Conductance

Conductance is particularly useful in parallel circuit analysis because parallel conductances add directly (Gt = G1 + G2 + ...). This avoids the reciprocal calculations needed for parallel resistance. Conductance is also used in semiconductor physics (channel conductance), electrolytic solutions, and power system analysis (admittance = conductance + j susceptance).

R to G Conversion

G = 1/R. 100Ω → 0.01S (10mS). 1kΩ → 0.001S (1mS). 1MΩ → 1μS. 1Ω → 1S.

Parallel G

Gt = G1 + G2 + ... (simple addition). Equivalent parallel R = 1/Gt. Much simpler than 1/Req formula!

Series G

1/Gt = 1/G1 + 1/G2 + ... (reciprocal). Equivalent series R = 1/Gt. More complex than series R.

Units & Prefixes

kS = 10³S, S = 1S, mS = 10⁻³S, μS = 10⁻⁶S, nS = 10⁻⁹S. Common: mS for electronics, μS for conductivity measurements.

Teaching Example: R=100Ω → G = 1/100 = 0.01 S = 10 mS.
Parallel G1=10mS (100Ω), G2=5mS (200Ω), G3=3mS (333Ω): Gt = 10+5+3 = 18mS. Req = 1/0.018 = 55.6Ω.
Series G1=10mS, G2=5mS: 1/Gt = 1/0.01+1/0.005 = 100+200 = 300. Gt = 1/300 = 3.33mS. Req = 300Ω.
Note: parallel G is additive (easy), series G is reciprocal (harder). Opposite of resistance!

Applications

Circuit Simulation Semiconductor Physics Electrolyte Testing Power Systems RF Design

Frequently Asked Questions

What is conductance?▼

G = 1/R in siemens (S). Measures how easily electricity flows. 1S = 1A/V. High G = low R = easy flow.

Parallel conductance vs parallel resistance?▼

Parallel G: add values (Gt = G1+G2). Parallel R: reciprocal (1/Rt = 1/R1+1/R2). G is simpler for parallel analysis.

What is the unit of conductance?▼

Siemens (S), formerly called mho (ohm spelled backwards). 1S = 1A/V. Named after Werner von Siemens. Symbol: ℧ (old) or S (modern).

Conductance vs conductivity?▼

Conductance (G) is for a specific component or length. Conductivity (σ) is a material property (S/m). G = σ × A/l where A=cross-section, l=length.

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