How long should you take a nickel conductor with a cross section of 0.2 mm ^ 2 in order to make a spiral

How long should you take a nickel conductor with a cross section of 0.2 mm ^ 2 in order to make a spiral for an electric stove with a power of 600 W and a calculated voltage of 120 V? p = 0.4 Ohm * mm ^ 2 / m

Initial data: S (conductor cross-sectional area) = 0.2 mm2; P (electric stove power) = 600 W; U (voltage for which the stove is designed) = 120 V.

Reference data: according to the condition ρ (specific resistance of nickelin) = 0.4 Ohm * mm2 / m.

1) We calculate the required resistance of the conductor: P = U ^ 2 / R and R = U ^ 2 / P = 120 ^ 2/600 = 24 Ohms.

2) Determine the length of the nickel conductor: R = ρ * l / S and l = R * S / ρ = 24 * 0.2 / 0.4 = 12 m.

Answer: It is necessary to take a nickeline conductor 12 meters long.