# Temperature dependence of the electrical resistivity of a metal

1. Nov 27, 2012

### ayazdipour

the electrical resistivity ρ of a metal is proportional to the probability that an electron is seattered by the vibrating atoms in the lattice an this probability is in turn proportional to the mean square amplitude of vibration of these atoms.How dose the electrical resistivity ρ of the metal depend on its absolute temperature in the range near room temperature or above where classical statistical mechanics can validly be applied to discuss the vibrations of the atomes in the metals?

2. Nov 28, 2012

### garoo007

a indicated by problem . the electrical resistivity ρ of a metal is proportional to the probability ρ that an electron is scattrered by the vibrating atoms in the lattice and this probability ρ is proportional to the mean square amplitude of vibration of these atoms <A^2> since <A^2> is proportional to the average of potential energy energy <Ep>.which is proportional to T due to equipartition theorem .thus the electrical resistivity ρ is proportional to T