Calculates the dc Resistance of a single round wire of common conducting materials using Equation 2 below.

Note: To use different values for the Resistivity, select Enter Data in the Conductor Material selection text box and then enter the required Resistivity (ρ) value in the box highlighted in amber.

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The dc resistance of a conductor is calculated using the resistivity and the cross-sectional area:-

Equation 1.

Where:

ρ is the Resistivity of the conductor in Ω.m

l is the Length in metres

A is the Cross-sectional area in metres

Round wire is normally specified by diameter and the dc resistance from the diameter is:-

Equation 2.

Where:

ρ is the Resistivity of the conductor in Ω.m

l is the Length in metres

d is the diameter of the round conductor in metres

The values for ρ are from * CRC Handbook of Chemistry and Physics 1st Student Edition* 1998 page F-88 and are for high purity elements at 20°C.

Table of "bench mark" measurements made in our lab using Enamelled Copper Wire | |||||

Measured | Calculated | ||||

Diameter | Length | Voltage | Current | Resistance | Resistance |

(mm) | (mm) | (V) | (A) | (Ω) | (Ω) |

1.0 | 410 | 0.0091 | 1.031 | 0.008826 | 0.0087596 |

0.5 | 410 | 0.0359 | 1.031 | 0.03482 | 0.0350385 |

0.2 | 410 | 0.24 | 1.032 | 0.2326 | 0.2189908 |

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