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AN2866 Datasheet(PDF) 10 Page - STMicroelectronics

Part # AN2866
Description  RFID tags extract all of their power
PDF  24 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN2866 Datasheet(HTML) 10 Page - STMicroelectronics

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Designing the antenna coil
AN2866
10/24
4
Designing the antenna coil
In the paragraphs below, the antenna inductance is calculated for different types of antenna
coils.
4.1
Inductance of a circular loop
, where:
●
r is the mean coil radius in millimeters
●
r0 is the wire diameter in millimeters
●
N is the number of turns
●
µ0 = 4π · 10
–7 H/m
●
L is measured in Henry
4.2
Inductance of a spiral coil
, where:
●
d is the mean coil diameter in millimeters
●
c is the thickness of the winding in microns
●
N is the number of turns
●
µ0 = 4π · 10
–7 H/m
●
L is measured in Henry
Figure 8.
Spiral coil
4.3
Inductance of an antenna with square coils
, where:
●
d is the mean coil diameter
d = (dout + din)/2 in millimeters, where:
dout = outer diameter
din = inner diameter
●
p = (dout – din)/(dout + din) in millimeters
●
K1 and K2 depend on the layout (refer to Table 2 for values)
L
ant
μ
0
N
1.9
r
×
r
r
0
----
⎝⎠
⎛⎞
ln
×
×
=
L
ant
31.33
μ
0
×
N
2
×
d
8d
11c
+
-----------------------
×
=
ai15812
L
ant
K1
μ
0
×
N
2
×
d
1K2
p
⋅
+
----------------------------
×
=



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