How long should a nichrome conductor with a diameter of 1, 2 mm be taken for an electric oven
| September 5, 2021 | education
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 220 V network, the current strength is 5A?
d = 1.2 mm.
U = 220 V.
I = 5 A.
ρ = 1.1 Ohm * mm2 / m.
L -?
The resistance R of a cylindrical uniform conductor is determined by the formula: R = ρ * L / S, where L is the length of the conductor, S is the cross-sectional area of the conductor, ρ is the resistivity of the conductor.
L = R * S / ρ.
S = n * d ^ 2/4.
R = U / I.
The length L of the nichrome wire of the furnace will be determined by the formula: L = U * P * d ^ 2/4 * I * ρ.
L = 220 V * 3.14 * (1.2 mm) ^ 2/4 * 5 A * 1.1 Ohm * mm2 / m = 45.2 m.
Answer: the length of the nichrome wire of the electric furnace is L = 45.2 m.
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