Home
Back
Resistance Formula:
| From: | To: |
The resistance formula for conductors calculates the electrical resistance of a material based on its physical properties and dimensions. It is derived from Ohm's law and describes how resistance depends on the material's resistivity and geometry.
The calculator uses the resistance formula:
Where:
Explanation: The formula shows that resistance is directly proportional to the length of the conductor and inversely proportional to its cross-sectional area, with resistivity being an intrinsic property of the material.
Details: Accurate resistance calculation is crucial for electrical circuit design, power transmission systems, electronic device manufacturing, and ensuring proper functioning of electrical components.
Tips: Enter resistivity in Ω·m, length in meters, and cross-sectional area in square meters. All values must be positive numbers greater than zero.
Q1: What is resistivity?
A: Resistivity is an intrinsic property of materials that quantifies how strongly they oppose electric current flow. Different materials have different resistivity values.
Q2: How does temperature affect resistance?
A: For most conductors, resistance increases with temperature due to increased atomic vibrations that impede electron flow.
Q3: What are typical resistivity values?
A: Copper: 1.68×10⁻⁸ Ω·m, Aluminum: 2.82×10⁻⁸ Ω·m, Silver: 1.59×10⁻⁸ Ω·m, Gold: 2.44×10⁻⁸ Ω·m.
Q4: Why is cross-sectional area important?
A: Larger cross-sectional area provides more paths for electrons to flow, reducing resistance. This is why thicker wires have lower resistance.
Q5: Can this formula be used for all materials?
A: This formula works well for uniform conductors but may need modification for semiconductors, superconductors, or materials with non-linear resistivity.