Q2. Consider the general form of the frequency dependent relative permittivity of a medium: €,(w) = 1+ Etiw Ng², Tmeo (a) How does the above expression get modified if we assume that all the electrons have same natural frequency of oscillation? (b) Under the assumption made in part (a) and considering just one molecule per volume, plot the real and imaginary parts of €, as functions of frequency of the applied electric field. (c) Show that under certain assumption, the relative permittivity of a metal can be written as: e, (w) = (1– (d) What is the physical interpretation wp for a metal?
Q2. Consider the general form of the frequency dependent relative permittivity of a medium: €,(w) = 1+ Etiw Ng², Tmeo (a) How does the above expression get modified if we assume that all the electrons have same natural frequency of oscillation? (b) Under the assumption made in part (a) and considering just one molecule per volume, plot the real and imaginary parts of €, as functions of frequency of the applied electric field. (c) Show that under certain assumption, the relative permittivity of a metal can be written as: e, (w) = (1– (d) What is the physical interpretation wp for a metal?
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Transcribed Image Text:Q2. Consider the general form of the frequency dependent relative permittivity of a medium: €,(w) = 1+ Etiw
Ng²,
Tmeo
(a) How does the above expression get modified if we assume that all the electrons have same natural frequency of
oscillation?
(b) Under the assumption made in part (a) and considering just one molecule per volume, plot the real and imaginary
parts of €, as functions of frequency of the applied electric field.
(c) Show that under certain assumption, the relative permittivity of a metal can be written as:
e, (w) = (1–
(d) What is the physical interpretation wp for a metal?
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