QuestionQuestion 3

If aluminum and copper wires of the same length have the same resistance, which has the larger diameter? Why?

Solution

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.
Physics XII (FBISE)

Context

Chapter 3: Electromagnetism

Chapter 4: Electromagnetic induction

Chapter 5: Alternating Current

Chapter 6: Physics of Solids

Chapter 7: Electronics

Chapter 8: Dawn Of the Modern Physics

Chapter 9: Atomic Spectra

Chapter 10: Nuclear Physics

Utopains

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