The Skin depph is defined as he distance at which the anplitude is reduced by Ye a factord 4 is given af d = EM For Condeutors so, f Car be adopooscimeted eg 2 2 2 to W HO as for onducter | 277f Hot Mny Mo. 2S

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Explain what they are doing below?
Q2
(a)
If one uses an electric conductor that is much thicker than the skin depth, 8,
conductive material is wasted because no current flows in the interior of the
conductor. Let us adopt t = 28 as an approximate value of the maximum
useful thickness. Find t for copper at 60 Hz, 10 MHz and 10 GHz.
Conductivity for copper is o = 5.8×10'S/m.
%3D
(b)
An electromagnetic wave is incident normally upon a thick metallic slab. The
electric field has a magnitude of 10 V/m just inside the surface. What is the
electric field at a point 28 below the surface where & is the skin depth?
For skin-effect theory to apply, it is necessary for conductivity to be
sufficiently high. Determine whether skin-effect theory can be applied to:
(c)
(i)
A sample of silicon with relative permittivity ɛ, =11.7, conductivity
%3D
o =1000 S/m at frequency f =10 GHz.
(ii)
A sample of seawater with &, =81, o=4 S/m at f =1 kHz.
ONI
Transcribed Image Text:Q2 (a) If one uses an electric conductor that is much thicker than the skin depth, 8, conductive material is wasted because no current flows in the interior of the conductor. Let us adopt t = 28 as an approximate value of the maximum useful thickness. Find t for copper at 60 Hz, 10 MHz and 10 GHz. Conductivity for copper is o = 5.8×10'S/m. %3D (b) An electromagnetic wave is incident normally upon a thick metallic slab. The electric field has a magnitude of 10 V/m just inside the surface. What is the electric field at a point 28 below the surface where & is the skin depth? For skin-effect theory to apply, it is necessary for conductivity to be sufficiently high. Determine whether skin-effect theory can be applied to: (c) (i) A sample of silicon with relative permittivity ɛ, =11.7, conductivity %3D o =1000 S/m at frequency f =10 GHz. (ii) A sample of seawater with &, =81, o=4 S/m at f =1 kHz. ONI
The Skin depph is defined as he distance
the anpli tude is
at
which
reduced
by afactord Ye
4 is given af
d =
西
EM
For Condeutors
so, f Car be
adopoosimeted eg
2
2
2 teo
W HO
as for onducter
Mny Mo.
2S
2
Transcribed Image Text:The Skin depph is defined as he distance the anpli tude is at which reduced by afactord Ye 4 is given af d = 西 EM For Condeutors so, f Car be adopoosimeted eg 2 2 2 teo W HO as for onducter Mny Mo. 2S 2
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