Resistance of Wire Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resistance = Resistivity*Length/Cross-Sectional Area
R = ρ*L/A
This formula uses 4 Variables
Variables Used
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
Resistivity - (Measured in Ohm Meter) - Resistivity is the measure of how strongly a material opposes the flow of current through them.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
STEP 1: Convert Input(s) to Base Unit
Resistivity: 0.017 Ohm Millimeter --> 1.7E-05 Ohm Meter (Check conversion here)
Length: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Cross-Sectional Area: 14 Square Millimeter --> 1.4E-05 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = ρ*L/A --> 1.7E-05*1.5/1.4E-05
Evaluating ... ...
R = 1.82142857142857
STEP 3: Convert Result to Output's Unit
1.82142857142857 Ohm --> No Conversion Required
FINAL ANSWER
1.82142857142857 1.821429 Ohm <-- Resistance
(Calculation completed in 00.004 seconds)

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8 Resistance Calculators

Temperature Dependence of Resistance
Go Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature)
Resistivity of Material
Go Resistivity = (2*[Mass-e])/(Number of Free Charge Particles per Unit Volume*[Charge-e]^2*Relaxation time)
Internal Resistance using Potentiometer
Go Resistance = (Length-Final Length)/Final Length*Final Resistance
Resistance
Go Resistance = (Resistivity*Length of Conductor)/Cross-Sectional Area
Resistance on Stretching of Wire
Go Resistance = (Final Resistance*Length^2)/((Final Length)^2)
Resistance of Wire
Go Resistance = Resistivity*Length/Cross-Sectional Area
Equivalent Resistance in Parallel
Go Equivalent Resistance = (1/Resistance+1/Final Resistance)^(-1)
Equivalent Resistance in Series
Go Equivalent Resistance = Resistance+Final Resistance

Resistance of Wire Formula

Resistance = Resistivity*Length/Cross-Sectional Area
R = ρ*L/A

Explain resistance of a wire and factors affecting its properties ?

Resistance wire is wire intended for making electrical resistors (which are used to control the amount of current in a circuit). It is better if the alloy used has a high resistivity since a shorter wire can then be used. In many situations, the stability of the resistor is of primary importance, and thus the alloy's temperature coefficient of resistivity and corrosion resistance plays a large part in material selection.

When resistance wire is used for heating elements (in electric heaters, toasters, and the like), high resistivity and oxidation resistance are important.

Sometimes resistance wire is insulated by ceramic powder and sheathed in a tube of another alloy. Such heating elements are used in electric ovens and water heaters and specialized forms for cooktops.

How to Calculate Resistance of Wire?

Resistance of Wire calculator uses Resistance = Resistivity*Length/Cross-Sectional Area to calculate the Resistance, The Resistance of Wire is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω). Resistance is denoted by R symbol.

How to calculate Resistance of Wire using this online calculator? To use this online calculator for Resistance of Wire, enter Resistivity (ρ), Length (L) & Cross-Sectional Area (A) and hit the calculate button. Here is how the Resistance of Wire calculation can be explained with given input values -> 1.821429 = 1.7E-05*1.5/1.4E-05.

FAQ

What is Resistance of Wire?
The Resistance of Wire is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) and is represented as R = ρ*L/A or Resistance = Resistivity*Length/Cross-Sectional Area. Resistivity is the measure of how strongly a material opposes the flow of current through them, Length is the measurement or extent of something from end to end & Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
How to calculate Resistance of Wire?
The Resistance of Wire is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω) is calculated using Resistance = Resistivity*Length/Cross-Sectional Area. To calculate Resistance of Wire, you need Resistivity (ρ), Length (L) & Cross-Sectional Area (A). With our tool, you need to enter the respective value for Resistivity, Length & Cross-Sectional Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Resistance?
In this formula, Resistance uses Resistivity, Length & Cross-Sectional Area. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Resistance = (Length-Final Length)/Final Length*Final Resistance
  • Resistance = (Resistivity*Length of Conductor)/Cross-Sectional Area
  • Resistance = (Final Resistance*Length^2)/((Final Length)^2)
  • Resistance = Resistance at Reference Temperature*(1+Temperature Coefficient of Resistance*Change in Temperature)
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