Response of electron gas it is sometimes stated erroneously in books on electromagnetism that the static conductivity σ, which in Gaussian units has the dimensions of a frequency, measures the response frequency of a metal to an electric field suddenly applied. Criticize this statement as it might apply to copper at room temperature. The resistivity is –1μohm-cm; the electron concentration is 8 x 10²² cm^–3; the mean free path is – 400A; the Fermi velocity is 1.6 x 10⁸ cm s ^–1. You will not necessarily need all these data. Give the order of magnitude of the three frequencies σ, w_p, and 1/τ that might bc relevant in the problem. Set up and solve the problem of the response x (t) of the system to an electric field E(t < 0) = 0; E(t > 0) = I. The system is a sheet of copper; the field is applied normal to the sheet. Include the damping. Solve the differential equation by elementary methods.