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The resistivity $\rho$ of a conductor, appearing in $R = \rho l / A$, depends on

Athe length of the conductor only
Bthe cross-sectional area only
Cboth the length and the area
Dthe material, not the dimensions
Answer & Solution
Correct answer: D. the material, not the dimensions
1. In $R = \rho l / A$, the geometry is captured by $l$ and $A$. 2. The constant $\rho$ is the leftover factor that depends on the material. 3. The text states $\rho$ depends on the material but not on the dimensions. 4. Hence options tying $\rho$ to length or area are wrong; D is correct. _Source: syllabus Physics Ch 3 "Current Electricity", p.3_
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