Exploring Electron Mobility in Copper

How can we determine the mobility of electrons in copper?

Based on the given data of a round copper wire's properties, including its resistance, length, and diameter, we can calculate the mobility of electrons in copper. What formula and steps do we need to follow to find this value?

Understanding Electron Mobility in Copper

Electron mobility in copper can be determined by analyzing the properties of the copper wire, such as resistance, length, and diameter. By utilizing the formulas for resistance, resistivity, cross-sectional area, and charge, we can calculate the mobility of electrons in copper.

To find the mobility of an electron in copper, we need to first calculate the resistivity of copper using the given formula that considers the mass of an electron, the number of electrons per unit volume, the charge of an electron, and the relaxation time. Once the resistivity is determined, we can rearrange the resistance formula to solve for the mobility.

By substituting the known values of the charge of an electron, the mass of an electron, and the resistivity of copper into the mobility formula, we can calculate the approximate mobility of electrons in copper, which is approximately 4.46 x 10^-3 m²/V·s.