Electrical principles - Properties

Resistance

Resistance is the opposition to current flow. In an electrical circuit everything has some resistance, including conductors.

Some factors that determine the amount of resistance in a conductor are explained below.

Conductor material

The amount of resistance of a conductor will depend on the atomic structure of the conductor material. The amount of resistance offered by a material is termed its 'resistivity'.

The symbol for the resistivity of a material is ρ (rho).

Quantity

Symbol

Unit

Abbreviation

Meaning

resistivity

ρ

ohm/metre

Ω/m

resistance of material

 

The following table shows the resistivity of a number of conductors.

Metal Resistivity Table (@ 20.5°C)

Metal

Resistivity (Ω - metre)

Silver

1.65 x 10-8

Copper 1.72 x 10-8
Aluminium 3.2 x 10-8
Nickel 8.7 x 10-8
Iron 11 x 10-8
Nichrome 112 x 10-8

Temperature

As temperature increases or decreases, its resistance value changes.

A material that has a Positive Temperature Coefficient (PTC) will increase in resistance with an increase in temperature.

A material with a Negative Temperature Coefficient (NTC) will decrease in resistance with an increase in temperature.

Conductor length

This is how the resistance of a conductor changes, depending on the conductor's length.

 

Diagram showing that increased conductor length equals proportional increase in resistance

Conductor length - resistance

 

Increased conductor length equals increased resistance in direct proportion.

 

Conductor cross sectional area

The thinner or smaller the diameter (cross sectional area), the greater the resistance.

Diagram showing the cross sectional area of three mm and six mm wire

Cross sectional view of two conductors

A wire with a 3mm diameter would have four times the resistance of a 6mm diameter wire.

 

Calculating resistance of a conductor

The following formula can be used to calculate the resistance of a length of conductor (at 20 degrees Celsius).

R = ρ l / A

where

R = resistance in ohms

ρ = resistivity in ohmmetres

l = length in metres

A = cross-sectional area in square metres (m2)