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Resistivity, Meaning (SPM Physics)

A property of a material that measures how strongly it opposes the flow of current, independent of the size or shape of the sample; measured in ohm metres (Ω m).

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EnglishResistivity
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中文电阻率

Definition

A property of a material that measures how strongly it opposes the flow of current, independent of the size or shape of the sample; measured in ohm metres (Ω m).

Electricity

In exam terms

Resistivity, symbol ρ, is a property of a material that measures how strongly it opposes the flow of current, independent of the size or shape of a sample. It is measured in ohm metres (Ω m) and is linked to resistance by R = ρL/A, where L is length and A is cross-sectional area.

A material with high resistivity, such as nichrome, makes a good heating element.

Example of correct use: rearranging gives ρ = RA/L, so a wire’s resistance rises if it is made longer (larger L) or thinner (smaller A).

Do not confuse it with…

Do not confuse resistivity with resistance. Resistivity ρ depends only on the material and its temperature, not on the dimensions of the sample; resistance R depends on the length and cross-sectional area as well as the material. Two wires of the same material have the same resistivity but different resistances if their lengths or thicknesses differ.

In Paper 2, an experiment may vary the length L of a wire and plot R against L; the gradient equals ρ/A, which lets you determine the resistivity.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

Does resistivity depend on the length of a wire?
No. Resistivity is a material property and does not change with size or shape. It is the resistance R that depends on length and cross-sectional area through R = ρL/A.
What is the unit of resistivity?
The ohm metre (Ω m). This follows from rearranging R = ρL/A into ρ = RA/L, where A is in m² and L is in m.
Why is nichrome used for heating elements?
Nichrome has a high resistivity, so a manageable length of wire gives a large resistance, converting a lot of electrical energy into heat.

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