Electrical Circuits And Shunt Resistance

To derive the electrical resistance using the Drude model, we use the following relationship: 1. The electrical resistance is given by: where is the resistivity, is the length of the wire, and is the cross-sectional area of the wire. 2. In the Drude model, the resistivity is defined as: where: - is the electron mass, - is the carrier concentration, - is the electronic charge, and - is the relaxation time (mean time between collisions). 3. Now substitute this expression for into the resistance formula: 4. Simplifying the expression, we get: Thus, the resistance of the metallic wire is .