Answer:
15.78 m
Explanation:
Length = resistance×area/resistivity
Resistance = 15 ohms
Area = πd^2/4 = 3.142×(0.15/1000)^2/4 = 1.767375×10^-8 m^2
Resistivity = 1.68 ohm-meter
Length = 15×1.767375×10^-8/1.68×10^-8 = 15.78 m
For a wire that has a resistivity of 1.68 × 10-8 Ω ∙ m, diameter of 0.15mm, and resistance of 15Ω, the length is 1.63 m
The resistivity of the metal, [tex]\rho = 1.68 \times 10^{-8}[/tex]Ω ∙ m
The diameter of the wire, d = 0.15 mm
Convert the diameter to meter
[tex]d=0.15 \times 10^{-3}m[/tex]
Calculate the area of the wire
[tex]A=\frac{\pi d^2}{4} \\\\A=\frac{3.142 \times (0.15 \times 10^{-3})^2}{4} \\\\A = 1.77 \times 10^{-8}m^2[/tex]
Resistance, R = 15 Ω
The resistivity of a wire is calculated using the formula:
[tex]\rho =\frac{RA}{l}[/tex]
Solve for the length
[tex]l=\frac{RA}{\rho} \\\\l=\frac{15 \times 1.77 \times 10^{-8}}{1.68 \times 10^{-8}} \\\\l=1.63 m[/tex]
For a wire that has a resistivity of 1.68 × 10-8 Ω ∙ m, diameter of 0.15mm, and resistance of 15Ω, the length is 1.63 m
Learn more here: https://brainly.com/question/14786570
