Q2 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 (a) conductor. Let us adopt tyy = 28 as an approximate value of the maximum useful thickness. Find tu for copper at 60 Hz, 10 MHz and 10 GHz. Conductivity for copper is o =5.8×10’S/m. (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 8 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)

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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
Q2
(а)
conductor. Let us adopt tMy = 28 as an approximate value of the maximum
useful thickness. Find tMU for copper at 60 Hz, 10 MHz and 10 GHz.
Conductivity for copper is o = 5.8×10’S/m.
(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 8 is the skin depth?
(c)
For skin-effect theory to apply, it is necessary for conductivity to be
sufficiently high. Determine whether skin-effect theory can be applied to:
(i)
A sample of silicon with relative permittivity ɛ, =11.7, conductivity
o = 1000 S/m at frequency f =10 GHz.
[4
(ii)
A sample of seawater with &, = 81, o=4 S/m at f =1 kHz.
ON
Transcribed Image Text: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 Q2 (а) conductor. Let us adopt tMy = 28 as an approximate value of the maximum useful thickness. Find tMU for copper at 60 Hz, 10 MHz and 10 GHz. Conductivity for copper is o = 5.8×10’S/m. (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 8 is the skin depth? (c) For skin-effect theory to apply, it is necessary for conductivity to be sufficiently high. Determine whether skin-effect theory can be applied to: (i) A sample of silicon with relative permittivity ɛ, =11.7, conductivity o = 1000 S/m at frequency f =10 GHz. [4 (ii) A sample of seawater with &, = 81, o=4 S/m at f =1 kHz. ON
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