參數(shù)資料
型號: RC4200M
廠商: FAIRCHILD SEMICONDUCTOR CORP
元件分類: 運(yùn)動控制電子
英文描述: Analog Multiplier
中文描述: ANALOG MULTIPLIER OR DIVIDER, 4 MHz BAND WIDTH, PDSO8
封裝: SOIC-8
文件頁數(shù): 15/23頁
文件大小: 206K
代理商: RC4200M
PRODUCT SPECIFICATION
RC4200
REV. 1.2.1 6/14/01
15
Appendix 2
Applications
Design Considerations for RMS-to-DC Circuits
Average Value
Consider V
in
= Asin
ωτ
. By definition,
Where T = Period
ω
= 2
π
f
RMS Value
Again, consider V
IN
= Asin
ω
t
Therefore, the rms value of Asin
ω
t becomes:
RMS Value for Recti
fi
ed Sine Waves
Consider V
in
= |A sin
ω
t|, a rectified wave. To solve,
integrate of each half cycle.
Practical Consideration: |Asin
ω
t| has high-order harmonics;
Asin
ω
t does not. Therefore, non-ideal integrators may cause
different errors for two approaches.
Figure 14.
V
AG
V
IN
t
0
T
2
=
π
T
2
=
A
V
IN
0
T
2
T
t
65-1873
V
AG
2
T
---
A
ω
t
sin
t
0
T
2
=
T
2A
1
ω
---
ω
t
cos
0
T
2
=
2
π
2A
π
( )
cos
0
( )
cos
+
[
]
=
Average Value of Asin
ω
t is 2
π
--A
V
rms
V
AVG
1
T
---
V
IN
[
]
2
t
0
T
=
=
V
rms
for Asin
ω
tdt:
V
rms
1
T
---
A
2
sin
2
ω
t dt
0
T
=
V
rms
2
T
A
1
2
1
ω
t
dt
0
T
=
V
rms
2
2
A
2
4
ω
-1
ω
t
0
T
=
V
rms
A
2
------T
2
=
V
rms
2
2
A
=
V
rms
A
2
=
i.e. 1
T
--- TV
in
2
dt =
0
1
T
---
A
2
sin
2
ω
t dt+
Asin
ω
t
(
)
2
dt
T
2
T
0
T
2
This is the same as 1
1 TA
2
sin
2
ω
t t
0
so, |Asin
ω
t|
rms
Asin
ω
t
rms
=
Low Pass
Filter
a
2
b
a
2
Absolute
Value
Low Pass
Filter
V
IN
V = A V
IN2
V = V
IN
rms
65-4200-09
(a)
V
IN
V
IN
(b)
O
V
V
IN
2
Avg
V
V
0
2
---------
V
0
=
implies V
0
Avg V
IN
2
)
=
V
0
Avg V
IN
2
=
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