Digital Signal Processing Reference
In-Depth Information
equal to the conductor thickness should be used:
KR
s
√
f
when
δ<t
R(f )
=
(E-2)
R
dc
when
δ
≥
t
R
ac
(f )
2
πf
L
external
+
when
δ<t
L
H
(f )
=
(E-3)
R
ac
(f
δ
=
t
)
2
πf
δ
=
t
L
external
+
when
δ
≥
t
where
K
is the frequency-dependent surface roughness correction factor calcu-
lated in Sections 5.3.1, 5.3.2, or 5.3.3,
t
is the conductor thickness,
δ
is the
skin depth,
f
δ
=
t
is the frequency where the skin depth equals the thickness of
R
s
√
f
the conductor,
is the classic skin resistance for a smooth conductor as
calculated in (5-17) and (5-18),
R
ac
(f )
=
KR
s
√
f
, and
R
ac
(f )
is the Hilbert
transform of
R
ac
(f )
. Note that for a smooth conductor,
K
=
1.
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