Verified Answer
If aluminium and copper wires of same length have the same resistance, aluminium has the larger diameter and area. Explanation: • Resistance of any material is given as: • R=L/ρA where R is the resistance of material, A is the cross sectional area, L is the length of material and ρ is the resistivity of material. • Now, resistance and length is same, so the area will depend on the resistivity of the material. • Area(A) ∝ resistivity (ρ) • Resistivity of copper =1.68*10^-8 ohm - m • Resistivity of aluminium =2.65*10^-8 ohm - m Since, resistivity of aluminium is higher than resistivity of copper so the area and diameter is higher for aluminium.
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