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 winding length is 40 m. The winding is connected to 8V.

Correct result:

I =  9.5174 A

Solution:

U=8 V D=1.128 mm m=1.128/1000  m=0.00113 m l=40 m t1=20t2=70 t=t2t1=7020=50α=0.004  ρ0=1.75 1081.75108 Ω ρ=ρ0 (1+α t)=1.75108 (1+0.004 50)2.1108 Ω  r=D/2=0.0011/20.0006 m  S=π r2=3.1416 0.000629.9933107 m2  R=ρ lS=2.1108 409.99331070.8406 Ω  I=UR=80.8406=9.5174 A



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