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# Resistance resists

Calculate resistance of a wire if the following are given -

$$Mass$$ = $$50 g$$

$$Resistivity$$ = $$1.8 * 10^{-9} ohm-metre$$

$$Length$$ = $$5 m$$

$$Density$$ = $$1.8 * 10^{6} kg/m^{2}$$

Note by Sahba Hasan
2 years, 4 months ago

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Mass=volume×density. Volume=area×length. Resistance=resistivity×length÷area Resistance=resistivity ×length×length÷volume

- 1 year, 7 months ago

$$R=\rho\cdot \dfrac{L}{A}$$

We only need to find $$A$$. For that, first figure out what the volume is (using density and mass) and then divide it by L to get $$A$$.

- 2 years, 4 months ago

5*10^{-15}

- 2 years, 4 months ago

• Size of wire = Mass / Density = (50/1000) / (1.8*10^6) = S
• Resistance = (Resistivity * Length) / Size = (1,810^-95) / S

- 2 years, 4 months ago

Can you provide more detailed steps along with the answer? i tried the same method.

- 2 years, 4 months ago