Question

Find the ratio of the diameter of aluminium to copper wire, if they have the same resistance per unit length. Take the resistivity values of aluminiumand copper to be 2.65×108Ω m and 1.72 ×108Ω m respectively.​

Answer 1

Answer:

286.2 and 185.76 here is your answer

Answer 2

Answer:

Explanation:

Given :

resistivity ρ$_{Al}$ = 2.65 x 10⁸ Ω m

                ρ$_{Cu}$ = 1.72 x 10⁸ Ω m

Resistance R = ρl/A

                  R/l = ρ/A

Since R/l is same

ρ$_{Al}$/A$_{Al}$ = ρ$_{cu}$/A$_{cu}$

∴ A$_{Al}$/A$_{Cu}$ = ρ$_{Al}$/ρ$_{cu}$

$\frac{\pi }{4}$ $d^{2}$$_{Al}$/$\frac{\pi }{4}$$d^{2}$$_{cu}$ = ρ$_{Al}$/ρ$_{cu}$

$\frac{d_{Al} }{d_{cu} }$ = $\sqrt{\frac{ 2.65 X 10^{8} }{1.72 X 10^{8} } }$

    = 1.24