The length of the wire used is 3.162 m
<h3>Resistivity of a material</h3>
The formula for calculating the power is expressed as;
P = V²/R
Determine th resistance
R = V²/P
Determine the resistance of the heating coil by substituting
R = (110²/500)
R = 12100/500
R = 24.2ohms
Determine the length of the wire
R = ρL/A such that;
L = RA/ρ
Substitute the given parameters
diameter = 0.5 mm = 0.0005m
radius = 0.0005/2 = 0.00025 m
Determine the area
A = πr²
A = π * 0.00025²
A = 1.96*10^-7 m²
Determine the length
L = (24.2 * 1.96*10^-7 / 1.50*10^-6) =
L = 3.162 m
Hence the length of the wire used is 3.162 m
The length of the wire used is 3.162 m
Learn more on resistivity here; brainly.com/question/24858512
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