Find the concentration of electrons in the conductor, if the current strength is 1 A, and the radius

Find the concentration of electrons in the conductor, if the current strength is 1 A, and the radius of the conductor is 1 mm, the speed of the electrons is 1 m / s.

Task data: I (current in a given conductor) = 1 A; R (radius of the conductor) = 1 mm (in SI R = 1 * 10 ^ -3 m); υ (speed of movement of electrons) = 1 m / s.

Constants: e (electron charge) = -1.6 * 10 ^ -19 C.

Let us express the concentration of electrons: I = q / t = N * e / t = n * V * e / t = n * S * l * e / (l / υ) = υ * n * S * e = υ * n * Π * R ^ 2 * e, whence n = I / (υ * Π * R ^ 2 * e).

Calculation: n = 1 / (1 * 3.14 * (1 * 10 ^ -3) ^ 2 * 1.6 * 10 ^ -19) = 1.99 * 10 ^ 24 m-3.

Answer: The concentration of molecules is 1.99 * 10 ^ 24 m-3.