Answer to Question #238921 in Electrical Engineering for Hehe

Question #238921

A single layer of No. 24 WGA (dia=0.0201) commercial iron wire is wound over a ceramic tube whose diameter is 3.25 in if the total wire resistance is 41 ohms, determine the number of turns.


1
Expert's answer
2021-09-19T00:30:43-0400

Solution

Given data

Diameter (d)=0.0201 in

Resistance (R)=41"\\Omega"

Circumference of ceramic tube(c)"=\\pi D"

="\\pi\\frac{3.25}{12}=0.85ft" =1turn


And CM="\\frac{0.021}{0.001}=404.01mil^2"

Resistance

"R=\\rho \\frac{L}{CM}"


"L=R\\frac{CM}{\\rho}=\\frac{41\\times404.01}{75}=221ft"


No. of turns

"N=\\frac{L}{C}=\\frac{221}{0.85}=259.83"


"N=260"

Therefore number of turns are 260.



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