Calculate the length of the wire required to get resistance, Electrical Engineering

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An  electric  heater  element  is  made  of  Nichrome  wire  having  resistivity  equal  to 100 ×10-8 ohm-metre. The diameter of the wire is 0.3 mm. Calculate the length of the wire required to get a resistance of 30 ohms.

As the heater element is Nichrome ρ = 100x 10-8 ?-m.

a = (π/4) (0.3×10-3 )2 m2

a = 7.069 x 10-8 m2

R =30 ?

R = ρ (I/a) or 30 = (100 ×10-8 × l)/ (7.069 ×10-8)

I = 2.12 m.


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