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The resistance R of a wire is given by the formula R = (L)/(A), where is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area. For a

Physics

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Step 1: Analyze the resistance of a copper wire (Question 36).
The resistance RR of a wire is given by the formula R=ρLAR = \rho \frac{L}{A}, where ρ\rho is the resistivity of the material, LL is the length of the wire, and AA is the cross-sectional area. For a wire with radius rr, the cross-sectional area is A=πr2A = \pi r^2.

  • Statement 1: It is proportional to the radius of the wire. Substituting A=πr2A = \pi r^2 into the resistance formula, we get R=ρLπr2R = \rho \frac{L}{\pi r^2}. This shows that RR is proportional to $\frac{
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