An aluminum rod with a square cross section is 2.4 m long and 6.2 mm on edge. (a) what is the resistance between its ends? (b) what must be the diameter of a cylindrical copper rod of length 2.4 m if its resistance is to be the same as that of the aluminum rod? the resistivity of aluminum is 2.75 × 10-8 ω·m and the resistivity of copper is 1.69 × 10-8 ω·m.

resistance R  =  1.717 × Ω

diameter is 5.484 × m

Explanation:

given data

length = 2.4 m

cross section = 6.2 mm

solution

we know resistance formula that is

resistance R =    ............1

here ρ is resistivity and A is cross section and L is length

so put her value

aluminum resistance R =

resistance R  =  

resistance R  = 0.001717 = 1.717 × Ω

and

copper resistance R =

resistance R =

1.717 ×  =

solve we get

d = 0.005484 = 5.484 × m

so diameter is 5.484 × m

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