Answer:
The length of the second copper wire is 1250.4 feet.
Step-by-step explanation:
The length of the first wire, [tex]l_{1}[/tex] = 750 feet.
Resistance of the first wire, [tex]R_{1}[/tex] = 1.893 Ω
The length of the second wire = [tex]l_{2}[/tex]
Resistance of the second wire, [tex]R_{2}[/tex] = 3.156 Ω
The length of the second wire can be determined by the relation;
[tex]\frac{l_{1} }{l_{2} }[/tex] = [tex]\frac{R_{1} }{R_{2} }[/tex]
[tex]\frac{750}{l_{2} }[/tex] = [tex]\frac{1.893}{3.156}[/tex]
[tex]l_{2}[/tex] = [tex]\frac{750*3.156}{1.893}[/tex]
= [tex]\frac{2367}{1.893}[/tex]
[tex]l_{2}[/tex] = 1250.3962
= 1250.4
The length of the second copper wire is 1250.4 feet.
