3.5.1.3 Resistivity Flashcards
What three things does the resistance of a wire depend on?
Length of the wire.
Cross sectional area of the wire.
Resistivity of the material of which the wire is made from.
Describe and explain the relationship between length and resistance.
As length of a wire increases, the resistance of the wire increases. This is because, the longer the wire is, the more difficult it is for current to flow through it.
Describe and explain the relationship between cross sectional area and resistance.
A cross-sectional area increases, the resistance of the wire decreases.
The wider a wire, the easier it is for electrons/charge carriers to flow through it, as there are more pathways for them to flow through.
What is resistivity?
A measure of how much a particular material resists current flow. It is a property of material. It depends on environmental factors, like temperature and light intensity.
Define resistivity.
The resistivity of a material is defined as the resistance of a 1 metre length with a cross sectional area of 1 metre squared.
What equation links resistance, resistivity, length and cross sectional area?
Resistance = Resistivity x Length / Cross sectional area. R= ρl/A
Give two equations which can be used to calculate the cross sectional area of a wire.
=πr^2 or A= (πd^2)/4
What is the SI unit for length?
Metres, m
What is the SI unit for resistivity?
Ohm-metres, Ωm
What is the SI unit for cross sectional area?
Metres squared.
Explain, in terms of structure, the relationship between length and resistance.
When the length increases, there are more positive ion cores in the way of the gas of electrons moving through the conductor, so it is harder for current to flow. Resistance therefore increases.
Explain, in terms of structure, the relationship between area and resistance.
When the cross sectional area of the conductor increases, there are more conducting pathways through the conductor for electrons to move through. Therefore it is easier for current to flow, so resistance decreases.
What is an intrinsic property of a material?
An intrinsic property of a material is a property of itself, and is independent of other factors.
Which intrinsic properties does the resistivity depend on?
It directly relates to the number of free, conducting electrons that can flow through the structure.
The mobility of these electrons to flow through the structure.
The arrangement of the atoms in the conductor, and any distribution of impurities will affect the mobility of the electrons.
How is resistivity dependant on temperature, in a conductor, semiconductor and superconductor?
As the temperature of a metal increases, the resistivity increases.
As the temperature of a semiconductor increases, the resistivity decreases.
The resistivity of a superconducting material decreases with decreasing temperature above its critical temperature, but will drop below to 0 ohm meters below the critical temperature.
What are semiconductors?
Semiconductors are a group of materials that are not as good at conducting electricity as metals, because they have far fewer charge carriers available.
What happens to a semiconductor when energy is supplied to it?
If energy supplied to a semiconductor, more charge carriers can be released and the resistivity of the material will decrease.
What are semiconductors commonly used for?
Semiconductors are used for sensors for detecting environmental changes.
What are three common semiconducting componentd?
Thermistors
Diodes, including LEDs
Light dependant resistors/LDRs
What is a thermistor?
A thermistor is a component with a resistance that depends on its temperature. It is made with an intrinsic semiconductor.
What is an NTC?
An NTC is a negative temperature coefficient. This means that the temperatures goes up, meaning resistance will decrease.
What happens in an NTC Thermistor, in terms of resistance per kelvin temperature change?
The percentage change of resistance per kelvin change of temperature is much greater than for a metal. For this reason, thermistors are often used as the temperature-sensor in a temperature sensitive component.
What does the resistance against temperature graph for an NTC Thermistor show?
The graph shows the non-linear relationship between resistance and temperature.
What happens when a thermistor is warmed?
Warming a thermistor gives more electrons enough energy to escape from their atoms. This means that there are charge carriers available, so the resistance is lower.
