Answer:
R = 6.67 Ohm's
Explanation:
Resistance is a property of a material that measures the opposition to the flow of current through the material. It is measured in Ohm's.
R = (ρl) ÷ A
where; R is the resistance of the material, A is its cross sectional area, l is its length and ρ is its resistivity.
For the first nichrome wire, resistance is 5 Ohm's.
i.e R = (ρl) ÷ A = 5 Ohm's
For the second nichrome wire, length = 4l, and area of cross section = 3A. The resistance of the second wire can be determined by;
R = (4ρl) ÷ 3A
= [tex]\frac{4}{3}[/tex] {(ρl) ÷ A}
= [tex]\frac{4}{3}[/tex] × 5
R = 6.67 Ohm's
Resistance of the second nichrome wire is 6.67 Ohm's.