Resistance Conductance

Overview

Engineering reference data for Resistance Conductance in electrical engineering.

Key Formulas

Ohm's Law

$V = IR$

Voltage = Current × Resistance.

Power

$P = VI = I^2R = V^2/R$

Electrical power.

Energy

$E = Pt$

Energy = Power × Time.

Variables

Relationship Between Resistance and Conductance

The fundamental relationship between resistance ($R$) and conductance ($G$) is that they are mathematical reciprocals:

$G = \frac{1}{R}$

This means a material with high resistance has low conductance, and vice versa. For example, an insulator like rubber has very high resistance and therefore very low conductance, while a conductor like copper has very low resistance and high conductance.

Example Calculation

Problem: Find the conductance of a resistor with a resistance of 10 Ω.

Solution: Apply the formula $G = \frac{1}{R}$.

$G = \frac{1}{10\, \Omega} = 0.1\, \text{S}$

Answer: The conductance is 0.1 Siemens (S).

SI Unit Clarification

• Resistance ($R$) is measured in Ohms (Ω).
• Conductance ($G$) is measured in Siemens (S), which is the reciprocal of Ohm (1/Ω = S).

References

• Original Source