Calculator shows relation between wire dimensions (length, cross-surface area), kind of material (resistivity) and resistance of the final conductor.

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Calculations data - conductor dimension and material#

Wire dimensions
Length of the conductor (wire)	m	<=
Length unit
Cross-sectional area of the conductor (wire)	mm²	<=
Area unit
Material parameters
Substance from which the conductor is made
Electric resistivity of the material	Ω × m
Resistivity unit
Resistance of whole wire
Wire resistance	Ω	=>
Resistance unit

Summary#

Length of the conductor (wire)	1m
Cross-sectional area of the conductor (wire)	1mm²
Electric resistivity of the material	2.6548×10^-8Ω × m
Wire resistance	0.026548Ω

Some facts#

By the wire resistance we mean the resistance of the conductor as a whole. This is a value that we can directly measure with an ohmmeter by applying its probes on both sides of the wire.
The total resistance of the wire depends on:
- type of material the wire is made of - for example, copper conducts electricity better than lead,
- temperature - the ability to conduct electric current of various materials varies with temperature,
- wire dimensions - it's length and cross-sectional area, in the case of round wire conductor, we can calculate approximated cross-section using disk area formula:
  
  $A = \pi r^2 = \pi \left(\dfrac{d}{2}\right)^2 = \pi \dfrac{d^2}{4}$
  where:
  - A - cross-sectional area of the round wire,
  - r - wire radius (half of the diameter),
  - d - wire dimater, we can measure it, e.g. using caliper
If we have a conductor with given dimensions and known material resistivity, then we can calculate its total electric resistance:
$R = \dfrac{\rho \cdot l}{A}$
where:
- $R$ - wire resistance as a whole, this value should be shown by an ohmmeter applied to the two ends of the wire,
- $\rho$ - material resistivity from which the conductor (wire) is made,
- $l$ - the length of the wire,
- $A$ - cross-sectional area of the conductor (wire).
If we know the resistance of the conductor at a given temperature (the so-called reference temperature) and we have the temperature coefficient of the material from which that conductor is made, we can calculate its resistance at another temperature:
$R_T = R_0(1 + \alpha \cdot \Delta T)$
where:
- $R_T$ – wire resistance at temperature $T$ ,
- $R_0$ – wire resistance at known (reference) temperature $T_0$
- $\alpha$ – temperature coefficient of resistance,
- $\Delta T$ – temperature change $T-T_0$ in Kelvins.

Tags and links to this website#

Tags:

wire_resistance · resistance_of_the_conductor_with_given_length

Tags to Polish version:

rezystancja_przewodnika · opor_przewodnika_o_podanej_dlugosci · opor_kabla · opor_przewodu · opor_drutu

What tags this calculator has#

CALCULATOR · PHYSICS · ELECTRONICS · A -> Z (all)

Permalink#

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https://calculla.com/wire_resistance?inLengthUnitId=m&inAreaUnitId=mm2&inResistivityUnitId=ohm_m&inResistanceUnitId=ohm&ioArea=1&ioLength=1&inSubstanceResistivity=2.6548e-8

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