The electrons in a conductor drift with a velocity of:

Explanation

Drift velocity refers to the average velocity at which charged particles, such as electrons, move through a conductor in the presence of an electric field. While individual electrons within a conductor undergo random motion, the application of an electric field causes a net directional movement of electrons. When an electric field is applied across a conductor, it exerts a force on the free electrons within the material. This force, known as the electric force, causes the electrons to accelerate in the direction opposite to the electric field. However, the electrons also experience frequent collisions with atoms or other electrons, which disrupt their motion and cause them to lose some of their momentum. The net effect of these collisions is that electrons experience a resistive force, known as the drag force, which opposes their motion. As a result, the electrons attain a steady-state average velocity known as the drift velocity. The drift velocity represents the average speed and direction at which electrons move through the conductor. It is important to note that the drift velocity is typically quite small. Even in a typical metallic conductor, the drift velocity of electrons is typically on the order of millimeters per second. This is due to the high number density of electrons and the large number of collisions they experience within the conductor. The concept of drift velocity helps in understanding phenomena such as electrical current, Ohm's Law, and the behavior of conductors under the influence of electric fields. Free electrons have a speed in the order of several hundred kilometers while the drift velocity of electrons in a conductor is 10-3 m/s. (PTB)