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AN3394 Datasheet(PDF) 26 Page - STMicroelectronics

Part # AN3394
Description  Antenna design and impedance matching guidelines for CR95HF multiprotocol contactless transceiver IC
PDF  29 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN3394 Datasheet(HTML) 26 Page - STMicroelectronics

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Demonstration of C11 and C22 calculation
AN3394
26/29
Doc ID 018754 Rev 5
A.3
Serial to parallel equivalence RC impedance, and example of
RC load
Figure 24.
Serial-to-parallel RC equivalent circuit
So:
Equation (A.III.1)
Consider that:
Equation (A.III.2)
Equation (A.III.2) in equation (A.III.1) leads to:
Identify the real and the imaginary parts:
Z
RX
Z
RXP
=
2R
RX
×
1
j
ω
×
C
input
×
----------------------------------
+
R
RXP
j
ω R
RXP
C
input
p
–
×
×
×
1
+
------------------------------------------------------------------------
=
2R
RX
j
1
ω C
input
×
--------------------------
×
–
×
R
RXP
1R
RXP
C
input
p
–
ω
×
×)
(
2
+
-------------------------------------------------------------------------
j
R
RXP
2
C
input
p
–
×ω
×
1R
RXP
C
input
p
–
ω
×
×)
(
2
+
-------------------------------------------------------------------------
×
–
=
Q
RX
IM Z
RX
()
RE Z
RX
()
-------------------------
1
2
ω C
input
×
R
RX
×
×
-----------------------------------------------------
ω C
input
p
–
R
RXP
×
×
==
=
2R
RX
×
j
1
ω C
input
×
--------------------------
×
–
R
RXP
1Q
RX
2
+
------------------------
j
Q
RX
2
1Q
RX
2
+
------------------------
×
1
C
input
p
–
ω
×
---------------------------------
×
–
=



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