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Electric field in matter

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See the attached file.

An electromagnetic wave with frequency f = 10^6 Hz ravels along the z-axis in aluminum. In this medium
sigma=38*10^6 (Ohm*m)^(-1) , e = e0 and mu=mu0
At the surface of the aluminum the electric field amplitude/polarization is E in the x direction.

Write an expression for the electric field inside the conductor in terms of k, kappa, w and delta (the phase shift). for the waveform use the cosine form rather than exponential form.

If the real part of the wave number is (see attached file for formula)
Find the skin depth, wave velocity and the wavelength.

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