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 volt network, the current is 5 amperes.
1) Calculate the resistance of the nichrome conductor by applying Ohm’s law for the circuit section:
R = U / I, where U is the voltage in the network (U = 220 V), I is the current strength (I = 5 A).
R = U / I = 220/5 = 44 ohms.
2) Calculate the length of the nichrome conductor:
R = ρ * l / S, where ρ is the resistivity of nichrome (at 20 ºС ρ = 1.1 Ohm * mm2 / m), l is the desired length of the conductor, S is the cross-sectional area of the conductor (S = 1.2 mm2).
l = R * S / ρ = 44 * 1.2 / 1.1 = 48 m.
Answer: You need to take a nichrome conductor 48 m long.
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