26.2
Free electrons in a conductor travel in random paths and collide with other electrons and particles.
In an electric field, the randomly moving electrons gradually drift in the direction opposite to the applied electric field.
Thus, the average velocity of free-charged particles in a material due to an electric field is known as the drift velocity. It is the ratio of the current in a conductor to the product of the concentration of charged particles, the magnitude of charge of each particle, and the cross-sectional area of the conductor. The SI unit of drift velocity is meters per second.
Consider a copper wire with a diameter of 1 mm. What would be the mean drift velocity of the electrons in the wire when a current of 10 A passes through it?
To begin, calculate the density of free electrons in the copper wire. The number of free electrons in copper equals the number of copper atoms per cubic meter. Second, compute the cross-sectional area of the wire.
By rearranging, and substituting the terms, the drift velocity can be determined. The negative sign indicates that the charges move in the opposite direction to the conventional current.
The high speed of electrical signals results from the fact that the force between charges acts rapidly at a distance. Thus, when a free charge is forc…
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