Consider an electromagnetic wave in a conductor with permeattivity ε, permeability , and conductivity σ show that the skin depth for a poor conductor (σ « ω) is d-(2/on(ε/μ), which is independent of frequency. calculate the skin depth for pure water using the static (ω- 0) values for ε, μ, and σ at room temperature (look them up if necessary). show that the skin depth for a good conductor (σ » ωε) is d-λ/27, where λ is the wavelength of the wave in the conductor. find the skin depth for a typical metal with σ ~ 107 (ω m)-1 in the visible range ω ~ 1015 s-1, assuming ε ~ eo and μ ~ μ0. show that in a good conductor the magnetic field lags the electric field by 45°, and find the ratio of their amplitudes. use the values in part (b) to calculate the phase lag of the magnetic field and the amplitude ratio for a good metal