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The way to Calculate wire size?

The cross-sectional place is directly related to the potential of the modern. The twine gauge is directly proportional to the cross-sectional place. via growing the go-sectional place of the wire, the resistance of the wire additionally decreases. it's miles quite important to calibrate electric cord calculations to discover relative resistance, wire period, and allowable voltage drop. The relative conductivity and voltage of the wire ought to also be distinct earlier than putting in a twine.

$$ A(m^2)= \dfrac{2 \times ρ(Ω·m) \times L(m) \times I(A)}{V_V} $$

Where:

A = move-sectional area in rectangular meters

ρ = conductor resistivity in ohm-meters (Ω·m)

L = length in meters = modern-day in amps

V = allowable voltage drop in volts

Example:

Consider an AC/DC single-phase voltage system. The source voltage is 12 V, and the allowable voltage drop is 2 V. Aluminum wire is used, and the current flowing through it is 15 A. The wire length is 20 m, and the wire temperature is 25°C. What is the AWG wire size?

Given:

Area (A) in square meters

Conductor (\(\rho\)) = aluminum (\(2.65 \times 10^{-8}\ \Omega\cdot m\))

Wire length (L) = 20 m

Current (I) = 15 A

Voltage drop (V) = 2 V

Solution:

\(A(m^2) = \dfrac{2 \times \rho (\Omega\cdot m) \times L(m) \times I(A)}{V(V)}\)

\(A(m^2) = \dfrac{2 \times (2.65 \times 10^{-8}) \times 20 \times 15}{2}\)

\(A(m^2) = \dfrac{1.59 \times 10^{-5}}{2} = 7.95 \times 10^{-6}\)

Converting to square millimeters (mm²):

\(A(mm^2) = 7.95 \times 10^{-6} \times 1,000,000 = 7.95\ mm^2\)

FAQs:

what is cord Gauge?

wire gauge refers to the size and potential of the twine. twine gauge is immediately proportional to the go-sectional location of cord and it determines electric wire calculations. it's miles necessary to become aware of the cable size with the cord gauge calculator earlier than putting in a cable inside the circuit.

Is it ‘Gauge’ or ‘AWG’?

AWG stands for the american cord Gauge and calls it the gauge for our understanding. AWG measurements do now not bear in mind the insulation of the cable whilst estimating the gauge of twine. AWG measurements are particularly gauged by way of the electrical wire sizing calculator to calculate cord size and capability.