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Wire Cross Sectional Area Calculator

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Wire Cross Sectional Area Calculator

Wire Cross Sectional Area Calculator

Calculate the total cross-sectional area of a wire by multiplying the cross-sectional area of a single strand (calculated using the formula for the area of a circle) by the number of strands.

The Wire Cross Sectional Area Calculator determines the total cross-sectional area of a wire, which is essential for understanding the wire’s current-carrying capacity and resistance.

This tool is useful for electricians, engineers, and hobbyists working with multi-strand wires, ensuring safe and efficient electrical designs.

Formula:

Cross Sectional Area (Sq mm) = π × (Diameter ÷ 2)² × Number of Strands

Variables:

Variable Description
Number of Strands Total number of strands in the wire.
Strand Diameter (mm) Diameter of a single strand in millimeters (mm).
Cross Sectional Area (Sq mm) Total cross-sectional area in square millimeters.

Solved Calculations:

Example 1:

Input Value Unit
Number of Strands 7 Strands
Strand Diameter 2 mm
Cross Sectional Area 21.99 Sq mm

Steps:

  1. Formula: Area=π×(Diameter÷2)2×Number of Strands\text{Area} = \pi × (\text{Diameter} ÷ 2)^2 × \text{Numbe.
  2. Calculation: π×(2÷2)2×7=21.99Sq mm\pi × (2 ÷ 2)^2 × 7 = 21.99 \, \t.

Example 2:

Input Value Unit
Number of Strands 19 Strands
Strand Diameter 1.5 mm
Cross Sectional Area 33.63 Sq mm

Steps:

  1. Formula: Area=π×(Diameter÷2)2×Number of Strands\text{Area} = \pi × (\text{Diameter} ÷ 2)^2 × \text{Number of .
  2. Calculation: π×(1.5÷2)2×19=33.63Sq mm\pi × (1.5 ÷ 2)^2 × 19 = 33.63 \, \text{.
 

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