SUMMARY
The drift speed of electrons in a 2.0-mm-diameter iron wire, given a flow of 1.0 * 10^20 electrons in 5.0 seconds, is calculated to be 7.5 * 10^-5 m/s. The relevant equations used include the electron drift speed formula v_d = e*tao/m * E and the total electron equation N_e = n_e * A * v_d * delta(t). The number density of electrons in iron is specified as 8.5 * 10^28 electrons/m^3, and the cross-sectional area A is derived from the wire's radius.
PREREQUISITES
- Understanding of electron drift speed and its calculation.
- Familiarity with the concept of electron density in materials.
- Knowledge of basic geometry for calculating cross-sectional area.
- Proficiency in manipulating equations involving physical constants and variables.
NEXT STEPS
- Study the derivation and application of the electron drift speed formula v_d = e*tao/m * E.
- Explore the concept of electron density and its significance in different materials.
- Learn about the relationship between current, charge, and drift speed in conductive materials.
- Investigate the effects of temperature and material properties on electron mobility.
USEFUL FOR
Students and educators in physics, electrical engineers, and anyone interested in understanding electron behavior in conductive materials.