The unit of electrical resistance is the ohm (Ω\OmegaΩ).
Starting with the definition of electrical resistance, we can obtain an equivalent unit as V A−1\text{V A}^{-1}V A−1 (volt per ampere).
Using resistance=potential differencecurrent\displaystyle \text{resistance} = \frac{\text{potential difference}}{\text{current}}resistance=currentpotential difference
unit of resistance=unit of potential differenceunit of current=V A−1\displaystyle \text{unit of resistance} = \frac{\text{unit of potential difference}}{\text{unit of current}} = \text{V A}^{-1}unit of resistance=unit of currentunit of potential difference=V A−1
The unit of electrical resistivity is the ohm-metre (Ω⋅m\Omega\cdot\text{m}Ω⋅m).
Explain how, starting with the definition of electrical resistivity, we may obtain this equivalent unit of resistivity in terms of the ohm (Ω\OmegaΩ) and the metre (m\text{m}m).
59 exam-style questions on Edexcel GCSE Physics 10.2 Resistance. Each one has a worked solution and a mark scheme showing where the marks go.