Final answer:
To find the electron drift speed in a wire, we can use the formula I = nqAvd. Given the current and diameter of the wire, we can calculate the cross-sectional area and then solve for the drift velocity. The drift velocity is the speed at which electrons move in the wire.
Step-by-step explanation:
To find the electron drift speed, we can use the formula I = nqAvd, where I is the current, n is the number of free electrons per cubic meter, q is the charge of an electron, A is the cross-sectional area of the wire, and vd is the drift velocity. Given that the current is 1.0 * 10^20 electrons in 5.0 s and the diameter of the wire is 2.0 mm, we can calculate the cross-sectional area and then solve for the drift velocity.
To find the cross-sectional area, we first need to find the radius of the wire. The radius is half of the diameter, so it is 1.0 mm. Using the formula for the area of a circle, A = πr^2, we can calculate the cross-sectional area.
Substituting the values into the formula, we have I = nqAvd. Rearranging the formula to solve for vd, we get vd = I / (nqA). Substituting the given values, we can now calculate the drift velocity.