Copper Resistance Formula:
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The resistance of a copper wire depends on its length, cross-sectional area, and the resistivity of copper. It determines how much the wire opposes the flow of electric current.
The calculator uses the resistance formula:
Where:
Explanation: The resistance increases with longer wires and decreases with thicker wires (larger cross-sectional area).
Details: Calculating wire resistance is crucial for designing electrical circuits, selecting appropriate wire gauges, and minimizing power losses.
Tips: Enter length in meters and cross-sectional area in square meters. For circular wires, area = πr² where r is radius in meters.
Q1: Why is copper used for electrical wiring?
A: Copper has low resistivity (1.68×10⁻⁸ Ω·m), is ductile, and resists corrosion, making it ideal for electrical conductors.
Q2: How does temperature affect resistance?
A: Copper's resistance increases with temperature (positive temperature coefficient). The calculator assumes room temperature (20°C).
Q3: What's the difference between resistance and resistivity?
A: Resistivity is a material property (Ω·m), while resistance depends on both material and geometry (Ω).
Q4: How do I find the area for different wire shapes?
A: For circular wires: πr². For rectangular wires: width × thickness. For American Wire Gauge (AWG), consult conversion tables.
Q5: What's the practical significance of this calculation?
A: Helps determine voltage drop, power loss (I²R), and appropriate wire size for given current requirements.