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Calculate Cable Area

How to Calculate the Cross-Sectional Area of a Cable

Calculating the cross-sectional area of a conductor is essential for determining its electrical properties and current-carrying capacity. The method differs slightly between solid core (single-strand) and stranded (multi-strand) cables. Below are the formulas and step-by-step examples for both types.

Area of a Solid Core (Single-Strand) Cable

For a solid core cable, use the following formula to calculate the exact cross-sectional area when the diameter of the wire is known.

Area = π × (Diameter / 2)²

Example Calculation: Solid Core

Let's find the area of a single-strand cable with a wire diameter of 0.9mm.

  1. Find the radius: Radius = Diameter / 2 = 0.9mm / 2 = 0.45mm
  2. Square the radius: 0.45² = 0.2025
  3. Multiply by Pi (π): 3.14159 × 0.2025 = 0.636mm²

Area of a Stranded (Multi-Strand) Cable

For a multi-strand cable, you first calculate the area of an individual strand and then multiply it by the total number of strands.

Total Area = (π × (Diameter of one strand / 2)²) × Number of strands

Example Calculation: Stranded Cable

Let's find the approximate total area for a cable having 41 strands of 0.20mm wire.

  1. Calculate the area of a single strand:
    (3.14159 × (0.20 / 2)²) = 0.0314 mm²
  2. Calculate the total area for all 41 strands:
    0.0314 mm² × 41 = 1.2874mm²

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