How long should a nichrome conductor with a diameter of 1.2 mm be taken for an electric oven so that when

How long should a nichrome conductor with a diameter of 1.2 mm be taken for an electric oven so that when it is connected to a 220V network, the current is 5A.

Initial data: D (diameter of nichrome conductor) = 1.2 mm; U (mains voltage) = 220 V, I (conductor current) = 5 A.
Reference values: ρ (resistivity of nichrome under normal conditions) = 1.1 Ohm * mm2 / m.
1) Determine the resistance of the nichrome conductor: R = U / I = 220/5 = 44 Ohm.
2) We calculate the cross-section of the nichrome conductor: S = 0.25 * Π * D ^ 2 = 0.25 * 3.14 * 1.2 ^ 2 ≈ 1.13 mm2.
3) Determine the required length of the conductor: R = ρ * l / S, whence l = R * S / ρ = 44 * 1.13 / 1.1 = 45.2 m.



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