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AN3394 bảng dữ liệu(PDF) 24 Page - STMicroelectronics

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Giải thích chi tiết về linh kiện  Antenna design and impedance matching guidelines for CR95HF multiprotocol contactless transceiver IC
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AN3394 bảng dữ liệu(HTML) 24 Page - STMicroelectronics

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Demonstration of C11 and C22 calculation
AN3394
24/29
Doc ID 018754 Rev 5
Equation (A.I.4)
Neglecting
ω2 x L
PA
2, then resolving the numerator leads to two different resonance
pulsation
ω
0 and ω1:
Equation (A.I.5)
Equation (A.I.6)
Finally inserting Equation (A.I.5) in Equation (A.I.3) leads to:
Equation (A.I.7)
Equation (A.I.8)
Equation (A.I.9)
In addition, Cinput-p is in parallel with C22, and Cinput-p has to be subtracting to C22.
A.2
Serial to parallel equivalence RL impedance, and example of
RL load
Figure 23.
Serial-to-parallel RL equivalent circuit
X
tot
ω C
11
×
R
eq
2
1L
PA
ω
2
C
22
×
×
–
() 1L
PA
ω
2
C
22
C
11 )
+
(
×
×
–
()
×ω
2
L
PA
2
×
+
R
eq
C
11
ω
×
×
()
2
1L
PA
C
22
ω
2
×
×
–
()
2
×ω
2
L
PA
C
11
×
×
()
2
+
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
×
–
=
ω
0
1
L
PA
C
22
C
11 )
+
(
×
------------------------------------------------
=
ω
1
1
L
PA
C
22
×
--------------------------
=
C
11
1
R
eq
ω
0
×
-----------------------
R
eq
R
out
-----------
1
–
⎝⎠
⎛⎞
×
=
C
22
1
L
PA
ω
0
2
×
--------------------------
C
11
–
=
C
22
1
L
PA
ω
0
2
×
--------------------------
C
11
–
C
input
p
–
–
=



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