
PRODUCT SPECIFICATION
RC4200
REV. 1.2.1 6/14/01
5
Voltage Multiplier/Divider
Figure 3. Voltage Multiplier/Divider
Extended Range
The input and output voltage ranges can be extended to
include 0 and negative voltage signals by adding bias
currents. The RSCS lter circuits are eliminated when the
input and biasing resistors are selected to limit the respective
currents to 50 A min. and 250 A max.
Extended Range Multiplier
Figure 4. Extended Range Multiplier
65-4200-04
RC4200
VZ
R1
–VS
I3
3
6
4
5
8
7
1
2
I2
I1
I4
VX
VY
R2
R4
RO
VO
VXVY
R1R2
=
VOVZ
ROR4
Solving for V
0
V
XVY
R
0R4
V
Z
R
1R2
--------------------------------------
=
For a multiplier circuit V
Z
V
R
cons
t
tan
==
Therefore: V
0
V
XVYK where K
R
0R4
V
RR1R2
---------------------
==
For a divider circuit V
Y
V
R
cons
t
tan
==
Therefore: V
0
V
X
V
Z
-------- K where K
V
RR0R4
R
1R2
---------------------
==
65-4200-05
RC4200
VX
(Input)
VY
(Input)
+VREF
RA
RB
RO
RC
–VS
+VS
RD
R1
R2
RC4
RCX
I3
VO
(Output)
3
6
4
5
8
7
1
2
I2
I1
I4
Resistors Ra and Rb extend the range of the VX and VY
inputs by picking values such that:
Resistor RC supplies bias current for I3 which allows the
output to go negative.
Resistors RCX and RCY permit equation (6) to balance, ie.:
Cross-Product Cancellation
Cross-products are a result of ths VXVR and VYVR terms.
To the extend that R1Rb = RCXRD, and R2Ra = RCYRd
cross-product cancellation will occur.
Arithmetic Offset Cancellation
The offset caused by the VREF
2 term will cancel to the
extent that RaRb = R0Rd, and the result is:
Resistor Values
Inputs:
I
1 min.
()
V
X min.
()
R
1
------------------------
V
REF
R
a
--------------
+
50 A,
==
and I
1(max.)
V
X(max.)
R
1
------------------------
V
REF
R
a
--------------
+
250 A,
==
also I
2(min.)
V
Y(min.)
R
2
-----------------------
V
REF
R
b
--------------
+
50 A,
==
and I
2(max.)
V
Y(max.)
R
2
------------------------
V
REF
R
b
--------------
+
250 A.
==
V
X
R
1
--------
V
REF
R
a
----------------
+
VY
R
2
--------
V
REF
R
b
----------------
+
V
0
R
0
-------
V
REF
R
C
----------------
V
X
R
CX
-------------
V
Y
R
CY
-------------
++
+
VREF
R
D
----------------
=
V
Y
V
X
R
1
R
2
------------------
V
X
V
REF
R
1
R
b
-------------------------
V
Y
V
REF
R
2
R
a
-------------------------
V
REF
R
a
R
b
---------------- =
+++
V
0
V
REF
R
0
R
d
------------------------
V
X
V
REF
R
cx
R
d
-------------------------
V
Y
V
REF
R
CY
R
d
-------------------------
V
REF
2
R
c
R
d
----------------
+++
V
YVX
R
1R2
----------------
V
0VREF
R
0Rd
--------------------- or V
0
V
XVYK
==
where K =
R
0Rd
V
REFR1R2
----------------------------
V
X min.
() V
X
V
X(max.)
≤≤
V
X
V
X(max.) –
=V
X(min.)
V
Y min.
() V
Y
V
Y(max.)
≤≤
V
Y
V
Y(max.) =
=V
Y(min.)
V
REF
Constant (+7V to +18V)
=
K
V
0
V
XVY
---------------- Design Requirements
()
=