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| 型號(hào)： | RM4200AD |
| 廠商： | FAIRCHILD SEMICONDUCTOR CORP |
| 元件分類： | 模擬運(yùn)算功能 |
| 英文描述： | ANALOG MULTIPLIER OR DIVIDER, 4 MHz BAND WIDTH, CDIP8 |
| 封裝： | CERAMIC, DIP-8 |
| 文件頁數(shù)： | 7/24頁 |
| 文件大?。?/td> | 188K |
| 代理商： | RM4200AD |
15
PRODUCT SPECIFICATION
RC4200
Appendix 2—Applications
Design Considerations for RMS-to-DC Circuits
Average Value
Consider Vin = Asin
wt. By denition,
Where T = Period
w = 2pf
RMS Value
Again, consider VIN = Asin
wt
Therefore, the rms value of Asin
wt becomes:
RMS Value for Rectied Sine Waves
Consider Vin = |A sin
wt|, a rectied wave. To solve,
integrate of each half cycle.
Practical Consideration: |Asin
wt| has high-order harmonics;
Asin
wt does not. Therefore, non-ideal integrators may cause
different errors for two approaches.
Figure 14.
V
AG
V
IN t
d
0
T
2
---
ò
=
2
p
T
------
=
A
V
IN
0T
2
T
t
65-1873
V
AG
2
T
---
A
wt
sin
t
d
0
T
2
---
ò
=
2A
T
-------
1
w
----
wt
cos
–
0
T
2
---
=
2A
2
p
-------
p
()
cos
–0
()
cos
+
[]
=
Average Value of Asin
wt is
2
p
---A
V
rms
V
AVG
1
T
---
V
IN
[]2 t
d
0
T
ò
==
V
rms for Asinwtdt:
V
rms
1
T
---
A
2
sin
2wt dt
0
T
ò
=
V
rms
A
2
T
------
1
2
---
1
2
---cos 2 cos 2
wt
–dt
0
T
ò
=
V
rms
A
2
------
T
2
---
1
4
w
------- sin2
wt
–
0
T
=
V
rms
A
2
------
T
2
---
=
V
rms
A
2
------
=
V
rms
A
2
-------
=
i.e.
1
T
--- TV
in
2
dt =
0
ò
1
T
---
A
2
sin
2wt dt+
Asin
wt
–
()
2
dt
T
2
---
T
ò
0
T
2
---
ò
This is the same as
1
--- TA
2
sin
2wtt
d
0
ò
so, |Asin
wt|
rms
Asin
wt
rms
=
Low Pass
Filter
a2
b
a2
Absolute
Value
Low Pass
Filter
VIN
V =
A
V
O
VG
IN
2
V = V
O
IN rms
65-4200-09
(a)
VIN
(b)
O
V
VIN
2
Avg
V
IN
2
V
0
----------
V
0
=
implies V
0
Avg V
IN
2
()
=
V
0
Avg V
IN
2
=
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