Nichrome wire, the resistance of which is 24 ohms, has a length of 4.8 m. Determine the diameter of the wire.

Initial data: R (resistance of nichrome wire) = 24 Ohm; l (length of nichrome wire) = 4.8 m.

Constants: ρ (specific resistance of nichrome) = 1.1 Ohm * mm ^ 2 / m.

1) Determine the value of the cross-section of the nichrome wire: R = ρ * l / S, whence S = ρ * l / R = 1.1 * 4.8 / 24 = 0.22 mm ^ 2.

2) We calculate the diameter of the nichrome wire: S = 1/4 * Π * D ^ 2, whence D ^ 2 = 4S / Π and D = √ (4S / Π) = √ (4 * 0.22 / 3.14) ≈ 0.53 mm.

Answer: The diameter of the nichrome wire is 0.53 millimeters.