Copper winding

Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V.

Correct answer:

I =  9.5174 A

Step-by-step explanation:

U=8 V D=1.128 mm m=1.128:1000  m=0.00113 m l=40 m t1=20 °C t2=70 °C  t=t2t1=7020=50 °C α=0.004  ρ0=1.75 1081.75108 Ω ρ=ρ0 (1+α t)=ρ0 (1+α 50)2.1108 Ω  r=D/2=0.0011/20.0006 m  S=π r2=3.1416 0.000629.9933107 m2  R=ρ Sl=2.1108 9.9933107400.8406 Ω  I=RU=0.84068=9.5174 A

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