Wire Resistance Calculator

The property of a wire that resists the flow of electric current is referred to as wire resistance. The resistance provided by a material per unit length for a given cross-sectional area is referred to as its resistivity. It is more difficult for current to flow through a material with a higher resistivity.

The amount of voltage required for electric current to flow is defined as electrical conductivity. Resistance and conductance are calculated using the following formulas

R = ρL/A

G = σA/L

R = 1/G

• Where, R = resistance
• ρ = resistivity of the material
• σ = conductivity
• L = wire length
• A = cross-sectional area of the wire
• G = conductance

Low resistance materials like copper and aluminium are good for manufacturing electrical wire and cables.It's important to keep in mind that temperature affects resistance and conductivity.

The following factors influence a wire's resistance

• The length of the wire
• The cross-sectional area of the wire
• The nature of the wire's material
• The temperature of the material

For more concepts check out physicscalculatorpro.com to get quick answers by using this free tool.

The easy steps for determining wire conductance and resistance are listed below. Follow these guidelines and you'll have a result for your item in a matter of seconds.

• Step 1: Obtain the wire material's type, length, and area.
• Step 2: Multiply the material's resistance by its length.
• Step 3: To calculate the resistance, divide the product by the wire's area.
• Step 4: To check the wire conductance value, find the reciprocal of the resistance.

The following is the procedure how to use the wire resistance calculator

• Step 1: Enter the unknown value of material type, length, area of wire and x in the appropriate input fields.
• Step 2: Select "Calculate the Unknown" from the drop-down menu to get the result.
• Step 3: The resistance and conductance of a specific wire will be displayed in the output field.

Question 1: Determine the resistance and conductance of a material with a resistivity of 5 Ωm and a conductivity of 0.48 S/m. The length of the aluminium wire is 15 metres, and the cross-sectional area is 3 square metres.

Solution:

Given: Resistivity of the wire ρ = 5 Ωm

Conductivity of the wire σ = 0.48 S/m

Wire length L = 15 m

Cross-sectional area A = 3 m2

Resistance of the material R = ρL/A

R = (5 x 15)/3

= 25 Ω

Conductance G = 1/R

= 1/25

= 0.04

Hence, the resistance and Conductance of the wire is 25 Ω and 0.04 S.

1. How does the wire length affect resistance?

A wire's resistance is proportional to the wire's length. As a result, the longer the wire, the higher the resistance, because the electrons must travel a greater distance and encounter more collisions.

2. How does the area of a wire affect resistance?

The resistance of a wire is proportional to its cross-sectional area in inverse proportion. As a result, reducing the cross-sectional area of the wire increases its resistance.

3. What is resistance and conductance of a wire?

The resistance of a cable to electric current flow is measured in ohms, while conductance is the quantity of a wire's ability to conduct it.

4. How can you find out how much resistance a wire does have?

Calculate the resistance of each length of wire using R = V/I, where, R represents resistance, V represents voltage, and I represents current.

5. How do you find out the length of a wire based on its resistance?

You can estimate the overall length of the wire by dividing the resistance value for the entire wire by the resistance value for the 1 m length (in meters).