What cross-section do you need to take a nichrome wire with a specific resistance of 1.1 Ohm * m to make

What cross-section do you need to take a nichrome wire with a specific resistance of 1.1 Ohm * m to make a 40 W soldering iron spiral for a voltage of 220V. Wire length 22m.

Let’s find the current of the soldering iron, if the voltage is 220 V and the power is 40 W:
I = P / U = 40/220 = 0.18 A.
Find the resistance of the soldering iron spiral:
R = U / I = 220 / 0.18 = 1222.22 Ohm.
Let’s find the cross-section of the nichrome wire if its length is l = 22 m, and the resistivity is p = 1.1 Ohm * m:
S = p * l / R = 1.1 * 22 / 1222.22 = 0.02 mm².
Answer: the cross-section of nichrome wire should be 0.02 mm².



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