参数资料
型号: RC4200MT
厂商: FAIRCHILD SEMICONDUCTOR CORP
元件分类: 模拟运算功能
中文描述: ANALOG MULTIPLIER OR DIVIDER, PDSO8
封装: SOIC-8
文件页数: 7/25页
文件大小: 265K
代理商: RC4200MT
PRODUCT SPECIFICATION
RC4200
REV. 1.2.1 6/14/01
15
Appendix 2—Applications
Design Considerations for RMS-to-DC Circuits
Average Value
Consider Vin = Asin
ωτ. By denition,
Where T = Period
ω = 2πf
RMS Value
Again, consider VIN = Asin
ωt
Therefore, the rms value of Asin
ωt becomes:
RMS Value for Rectied Sine Waves
Consider Vin = |A sin
ωt|, a rectied wave. To solve,
integrate of each half cycle.
Practical Consideration: |Asin
ωt| has high-order harmonics;
Asin
ωt does not. Therefore, non-ideal integrators may cause
different errors for two approaches.
Figure 14.
V
AG
V
IN t
d
0
T
2
---
=
2
π
T
------
=
A
V
IN
0T
2
T
t
65-1873
V
AG
2
T
---
A
ωt
sin
t
d
0
T
2
---
=
2A
T
-------
1
ω
----
ωt
cos
0
T
2
---
=
2A
2
π
-------
π
()
cos
–0
()
cos
+
[]
=
Average Value of Asin
ωt is
2
π
---A
V
rms
V
AVG
1
T
---
V
IN
[]2 t
d
0
T
==
V
rms for Asinωtdt:
V
rms
1
T
---
A
2
sin
2ωt dt
0
T
=
V
rms
A
2
T
------
1
2
---
1
2
---cos 2 cos 2
ωt
–dt
0
T
=
V
rms
A
2
------
T
2
---
1
4
ω
------- sin2
ωt
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
1
T
---
A
2
sin
2ωt dt+
Asin
ωt
()
2
dt
T
2
---
T
0
T
2
---
This is the same as
1
--- TA
2
sin
2ωtt
d
0
so, |Asin
ωt|
rms
Asin
ωt
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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