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Charge density in a conducting medium revisited

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2 Author(s)
Gutmann, R.J. ; Rensselaer Polytechnic Institute, Troy, NY, USA ; Borrego, J.M.

In recent letters a dialogue on the classical dielectric relaxation time has taken place. We describe an extension of the usual derivation, based upon a more precise relationship between conduction current density and electric field intensity within a conductor. With this modification, the charge relaxes in a conducting medium with the classical dielectric relaxation time \tau _{d} only if this time is much greater than the electron collision time \tau _{c} . With metals where \tau _{d} \ll \tau _{c} , the charge "relaxes" in an oscillatory manner typical of an underdamped second order system, with a relaxation time equal to 2\tau _{c} and a frequency equal to the plasma frequency.

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Antennas and Propagation, IEEE Transactions on  (Volume:22 ,  Issue: 4 )