ANALOG DEVICES AD5412 Service Manual

Single Channel, 12-Bit, Serial Input,
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Preliminary Technical Data
FEATURES
12-Bit Resolution and Monotonicity Current Output Ranges: 4–20mA, 0–20mA or 0–24mA
0.1% Total Unadjusted Error (TUE)
5ppm/°C Output Drift Voltage Output Ranges: 0-5V, 0-10V, ±5V, ±10V, 10% over-range
0.05% Total Unadjusted Error (TUE)
3ppm/°C Output Drift Flexible Serial Digital Interface On-Chip Output Fault Detection On-Chip Reference (10 ppm/°C Max) Asynchronous CLEAR Function Power Supply Range
AV
: 10.8V to 40 V
DD
AV
: -26.4V to -3V/0V
SS
Output Loop Compliance to AV Temperature Range: -40°C to +85°C TSSOP and LFCSP Packages
APPLICATIONS
Process Control Actuator Control PLC
– 2.5 V
DD
Current Source & Voltage Output DAC
AD5412
GENERAL DESCRIPTION
The AD5412 is a low-cost, precision, fully integrated 12-bit converter offering a programmable current source and programmable voltage output designed to meet the requirements of industrial process control applications. The output current range is programmable to 4mA to 20 mA, 0mA to 20mA or an overrange function of 0mA to 24mA. Voltage output is provided from a separate pin that can be configured to provide 0V to 5V, 0V to 10V, ±5V or ±10V output ranges, an over-range of 10% is available on all ranges. Analog outputs are short and open circuit protected and can drive capacitive loads of 1uF and inductive loads of 1H. The device is specified to operate with a power supply range from 10.8 V to 40 V. Output loop compliance is 0 V to AV
2.5 V. The flexible serial interface is SPI compatible and can be operated in 3-wire mode to minimize the digital isolation required in isolated applications. The device also includes a power-on-reset function ensuring that the device powers up in a known state and an asynchronous CLEAR pin which sets the outputs to zero-scale / mid-scale voltage output or the low end of the selected current range. The total output error is typically ±0.1% in current mode and ±0.05% in voltage mode.
Table 1. Related Devices
Part Number Description
AD5422
AD5420
AD5410
and MICROWIRE
Single Channel, 16-Bit, Serial Input Current Source and Voltage Output DAC
Single Channel, 16-Bit, Serial Input Current Source DAC
Single Channel, 12-Bit, Serial Input Current Source DAC
DD
Rev. PrC
Information furnished by Analog Devices is believed to be accurate and reliable. However, no responsibility is assumed by Anal og Devices for its use, nor for any infringements of patents or ot her rights of third parties that may result from its use. Specifications subject to change without notice. No license is granted by implication or otherwise under any patent or patent rights of Analog Devices. Trademarks and registered trademarks are the property of their respective owners.
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A. Tel: 781.329.4700 www.analog.com Fax: 781.461.3113 ©2007 Analog Devices, Inc. All rights reserved.
AD5412 Preliminary Technical Data
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TABLE OF CONTENTS
Features.............................................................................................. 1
Applications....................................................................................... 1
General Description ......................................................................... 1
Revision History ............................................................................... 2
Functional Block Diagram .............................................................. 3
Specifications..................................................................................... 4
AC Performance Characteristics ................................................ 7
Timing Characteristics ................................................................ 8
Absolute Maximum Ratings.......................................................... 10
ESD Caution................................................................................ 10
Pin Configuration and Function Descriptions........................... 11
Typical Performance Characteristics Voltage output............... 13
Typical Performance Characteristics current output............... 17
Typical Performance Characteristics general ............................20
Terminology .................................................................................... 22
Theory of Operation ...................................................................... 24
Architecture................................................................................. 24
Serial Interface ............................................................................ 24
Default configuration................................................................. 28
Transfer Function....................................................................... 28
Data Register............................................................................... 29
Control Register.......................................................................... 29
RESET register............................................................................ 29
Status register.............................................................................. 30
Features............................................................................................ 31
fault alert...................................................................................... 31
voltage output short circuit protection.................................... 31
Asynchronous Clear (CLEAR)................................................. 31
Internal Reference...................................................................... 31
External current setting resistor............................................... 31
Voltage ouTput over-range........................................................ 31
Digital Power Supply.................................................................. 31
External boost function............................................................. 31
digital Slew rate control............................................................. 32
I
Filtering Capacitors............................................................ 32
OUT
Applications Information.............................................................. 33
driving inductive loads.............................................................. 33
Transient voltage protection ..................................................... 33
Layout Guidelines....................................................................... 33
Galvanically Isolated Interface ................................................. 33
Microprocessor Interfacing....................................................... 33
Thermal and supply considerations......................................... 34
Outline Dimensions....................................................................... 35
Ordering Guide .......................................................................... 35
REVISION HISTORY
PrC – Preliminary Version. October 9, 2007
Rev. PrC | Page 2 of 37
Preliminary Technical Data AD5412
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FUNCTIONAL BLOCK DIAGRAM
DV
CC
SELECT
DV
CC
CAP1
CAP2
AV
SS
AV
DD
CLEAR SELECT
CLEAR
LATCH
SCLK
SDIN
SDO
AD5412
INPUT SHIFT
POWER
ON
RESET
DGND*
*LFCSP Package
REGISTER
AND
CONTROL
LOGIC
VREF
REFOUT
R2
12
12-BIT
/
DAC
R1
RANGE SCALING
REFIN
Figure 1.
AGND
C
COMP2
C
COMP1
R3
BOOST
I
OUT
FAULT
R
SET
+V
SENSE
V
OUT
-V
SENSE
Rev. PrC | Page 3 of 37
AD5412 Preliminary Technical Data
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SPECIFICATIONS
AVDD = 10.8V to 40V, AVSS = -26.4V to -3V/0V, AVDD + |AVSS| < 52.8V, AGND = DGND = 0 V, REFIN= +5 V external; DV
= 2.7 V to 5.5 V, V
CC
all specifications T
Table 2.
Parameter Value1 Unit Test Conditions/Comments VOLTAGE OUTPUT
Output Voltage Ranges 0 to 5 V
0 to 10 V
-5 to +5 V
-10 to +10 V
ACCURACY Output unloaded
Bipolar Output
Resolution 12 Bits Total Unadjusted Error (TUE) 0.1 % FSR max
TUE TC2 ±3 ppm typ
Relative Accuracy (INL) ±0.012 % FSR max Differential Nonlinearity (DNL) ±1 LSB max Guaranteed monotonic Bipolar Zero Error ±5 mV max
Bipolar Zero TC2 ±3 ppm FSR/°C max Zero-Scale Error ±1 mV max
Zero-Scale TC2 ±3 ppm FSR/°C max Gain Error ±0.05 % FSR max
Gain TC2 ±8 ppm FSR/°C max Full-Scale Error 0.05 % FSR max
Full-Scale TC2 ±3 ppm FSR/°C max
Unipolar Output AVSS = 0 V
Resolution 12 Bits Total Unadjusted Error (TUE) 0.1 % FSR max
Relative Accuracy (INL) ±0.012 % FSR max Differential Nonlinearity (DNL) ±1 LSB max Guaranteed monotonic Zero Scale Error +10 mV max
Zero Scale TC2 ±3 ppm FSR/°C max Offset Error ±10 mV max Gain Error ±0.05 % FSR max
Gain TC2 ±3 ppm FSR/°C max Full-Scale Error 0.05 % FSR max
Full-Scale TC2 ±3 ppm FSR/°C max
OUTPUT CHARACTERISTICS2
Headroom 0.8 V max
0.5 V typ
Output Voltage TC ±3 ppm FSR/°C max
Output Voltage Drift vs. Time ±12 ppm FSR/500 hr typ Vout = ¾ of Full-Scale
±15 ppm FSR/1000 hr typ
Short-Circuit Current 12 mA typ
MIN
: RL = 2 kΩ, CL = 200 pF, I
OUT
to T
, ±10 V / 0 to 24 mA range unless otherwise noted.
MAX
: RL = 300, HL = 50mH;
OUT
Rev. PrC | Page 4 of 37
Over temperature, supplies, and time, typically 0.05% FSR
@ 25°C, error at other temperatures obtained using bipolar zero TC
@ 25°C, error at other temperatures obtained using zero scale TC
@ 25°C, error at other temperatures obtained using gain TC
@ 25°C, error at other temperatures obtained using gain TC
Over temperature, supplies, and time, typically 0.05% FSR
@ 25°C, error at other temperatures obtained using gain TC
@ 25°C, error at other temperatures obtained using gain TC
@ 25°C, error at other temperatures obtained using gain TC
Preliminary Technical Data AD5412
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Parameter Value1 Unit Test Conditions/Comments
Load 2 kΩ min For specified performance Capacitive Load Stability
RL = ∞ 20 nF max RL = 2 kΩ TBD nF max
RL = ∞ 1 µF max External compensation capacitor of 4nF connected. DC Output Impedance 0.3 Ω typ Power-On Time 10 µs typ DC PSRR TBD µV/V
CURRENT OUTPUT
Output Current Ranges 0 to 24 mA
0 to 20 mA
4 to 20 mA
ACCURACY
Resolution 12 Bits Total Unadjusted Error (TUE) ±0.3 % FSR max Over temperature, supplies, and time, typically 0.1% FSR TUE TC2 ±5 ppm/°C typ Relative Accuracy (INL) ±0.012 % FSR max Differential Nonlinearity (DNL) ±1 LSB max Guaranteed monotonic Offset Error ±0.05 % FSR max Offset Error Drift ±5 µv/°C typ Gain Error ±0.02 % FSR max
Gain TC2 ±8 ppm FSR/°C max Full-Scale Error 0.05 % FSR max
Full-Scale TC2 ±8 ppm FSR/°C
OUTPUT CHARACTERISTICS2
Current Loop Compliance Voltage AVDD - 2.5 V max Output Current Drift vs. Time TBD ppm FSR/500 hr typ TBD ppm FSR/1000 hr typ Resistive Load TBD Ω max Inductive Load 1 H max DC PSRR 10 µA/V max Output Impedance 50 MΩ typ
REFERENCE INPUT/OUTPUT
Reference Input2
Reference Input Voltage 5 V nom ±1% for specified performance
DC Input Impedance 30 kΩ min Typically 40 kΩ
Reference Range 4 to 5 V min to V max Reference Output
Output Voltage 4.998 to 5.002 V min to V max @ 25°C
Reference TC ±10 ppm/°C max
Output Noise (0.1 Hz to 10 Hz)2 18 µV p-p typ
Noise Spectral Density2 120 nV/√Hz typ @ 10 kHz
Output Voltage Drift vs. Time2 ±40 ppm/500 hr typ
±50 ppm/1000 hr typ
Capacitive Load TBD nF max
Load Current 5 mA typ
Short Circuit Current 7 mA typ
Line Regulation2 10 ppm/V typ
Load Regulation2 TBD ppm/mA
Thermal Hysteresis2 TBD ppm
@ 25°C, error at other temperatures obtained using gain TC
@ 25°C, error at other temperatures obtained using gain TC
Rev. PrC | Page 5 of 37
AD5412 Preliminary Technical Data
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Parameter Value1 Unit Test Conditions/Comments DIGITAL INPUTS2
VIH, Input High Voltage 2 V min VIL, Input Low Voltage 0.8 V max Input Current ±1 µA max Per pin Pin Capacitance 10 pF typ Per pin
DIGITAL OUTPUTS 2
SDO
VOL, Output Low Voltage 0.4 V max sinking 200 µA VOH, Output High Voltage DVCC − 0.5 V min sourcing 200 µA High Impedance Leakage
Current High Impedance Output
Capacitance
FAU LT
VOL, Output Low Voltage 0.4 V max VOL, Output Low Voltage 0.6 V typ @ 2.5 mA
VOH, Output High Voltage 3.6 V min
POWER REQUIREMENTS
AVDD 10.8 to 40 V min to V max AVSS -26.4 to 0 V min to V max DVCC
Input Voltage 2.7 to 5.5 V min to V max Internal supply disabled Output Voltage 4.5 V typ DVCC can be overdriven up to 5.5V Output Load Current 5 mA typ
Short Circuit Current 20 mA typ AIDD TBD mA Output unloaded AISS TBD mA Output unloaded DICC 1 mA max VIH = DVCC, VIL = GND, TBD mA typ Power Dissipation TBD mW typ AVDD = 40V, AVSS = 0 V, V TBD mW typ AVDD = 40V, AVSS = -15 V, V TBD mW typ AVDD = 15V, AVSS = -15 V, V
1
Temperature range: -40°C to +85°C; typical at +25°C.
2
Guaranteed by characterization. Not production tested.
DVCC = 2.7 V to 5.5 V, JEDEC compliant
±1 µA max
5
pF typ
10k pull-up resistor to DV
10k pull-up resistor to DV
OUT
CC
CC
unloaded
unloaded
OUT
unloaded
OUT
Rev. PrC | Page 6 of 37
Preliminary Technical Data AD5412
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AC PERFORMANCE CHARACTERISTICS
AVDD = 10.8V to 40V, AVSS = -26.4V to -3V/0V, AVDD + |AVSS| < 52.8V, AGND = DGND = 0 V, REFIN= +5 V external; DV
= 2.7 V to 5.5 V, V
CC
all specifications T
Table 3.
Parameter1 Unit Test Conditions/Comments
DYNAMIC PERFORMANCE
VOLTAGE OUTPUT
Output Voltage Settling Time 8 µs typ Full-scale step (10 V) to ±0.03% FSR 10 µs max 5 µs max 512 LSB step settling
Output Current Settling Time 10 µs max To 0.1% FSR
Slew Rate 1 V/µs typ Power-On Glitch Energy 10 nV-sec typ Digital-to-Analog Glitch Energy 10 nV-sec typ Glitch Impulse Peak Amplitude 20 mV typ Digital Feedthrough 1 nV-sec typ Output Noise (0.1 Hz to 10 Hz Bandwidth) 0.1 LSB p-p typ Output Noise (100 kHz Bandwidth) 80 µV rms max 1/f Corner Frequency 1 kHz typ Output Noise Spectral Density 100 nV/√Hz typ Measured at 10 kHz AC PSRR TBD dB
CURRENT OUTPUT
Output Current Settling Time TBD µs typ To 0.1% FSR , L = 1H
TBD µs typ To 0.1% FSR , L < 1mH
1
Guaranteed by characterization, not production tested.
MIN
: RL = 2 kΩ, CL = 200 pF, I
OUT
to T
, ±10 V / 0 to 24 mA range unless otherwise noted.
MAX
: RL = 300, HL = 50mH;
OUT
200mV 50/60Hz Sinewave superimposed on power supply voltage.
Rev. PrC | Page 7 of 37
AD5412 Preliminary Technical Data
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TIMING CHARACTERISTICS
AVDD = 10.8V to 40V, AVSS = -26.4V to -3V/0V, AVDD + |AVSS| < 52.8V, AGND = DGND = 0 V, REFIN= +5 V external; DV
= 2.7 V to 5.5 V, V
CC
all specifications T
MIN
: RL = 2 kΩ, CL = 200 pF, I
OUT
to T
, ±10 V / 0 to 24 mA range unless otherwise noted.
MAX
: RL = 300, HL = 50mH;
OUT
Table 4.
Parameter Write Mode
1, 2, 3
Limit at T
, T
MIN
Unit Description
MAX
t1 33 ns min SCLK cycle time t2 13 ns min SCLK low time t3 13 ns min SCLK high time t4 13 ns min LATCH delay time t5 40 ns min LATCH high time t5 5 µs min LATCH high time (After a write to the CONTROL register) t6 5 ns min Data setup time t7 5 ns min Data hold time t8 40 ns min LATCH low time t9 20 ns min CLEAR pulsewidth t10 5 µs max CLEAR activation time
Readback Mode
t11 82 ns min SCLK cycle time t12 33 ns min SCLK low time t13 33 ns min SCLK high time t14 13 ns min LATCH delay time t15 40 ns min LATCH high time t16 5 ns min Data setup time t17 5 ns min Data hold time t18 40 ns min LATCH low time t19 40 ns max Serial output delay time (C
L SDO
4
= 15pF)
t20 33 ns max LATCH rising edge to SDO tri-state
Daisychain Mode
t21 82 ns min SCLK cycle time t22 33 ns min SCLK low time t23 33 ns min SCLK high time t24 13 ns min LATCH delay time t25 40 ns min LATCH high time t26 5 ns min Data setup time t27 5 ns min Data hold time t28 40 ns min LATCH low time t29 40 ns max Serial output delay time (C
L SDO
4
= 15pF)
1
Guaranteed by characterization. Not production tested.
2
All input signals are specified with tR = tF = 5 ns (10% to 90% of DVCC) and timed from a voltage level of 1.2 V.
3
See Figure 2, Figure 3, and Figure 4.
4
C
= Capacitive load on SDO output.
L SDO
Rev. PrC | Page 8 of 37
Preliminary Technical Data AD5412
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t
1
SCLK
SCLK
LATCH
SDIN
CLEAR
OUTPUT
t
12
2421
t
3
DB0
t
t
8
t
4
5
t
6
DB23
t
2
t
7
t
9
t
10
Figure 2. Write Mode Timing Diagram
t
11
2
2421
t
13
t
t
14
15
1
923
8
22
24
LATCH
SDIN
SDO
LATCH
SCLK
SDIN
t
16
DB23
t
17
INPUT WORD SPECIFIES REGISTER TO BE READ
UNDEFINED DATA
DB23
INPUT WORD F OR DAC N
t
18
DB0
DB23
FIRST 8 BITS ARE DON’T CARE B ITS
Figure 3. Readback Mode Timing Diagram
25
2421
t
26
DB0
DB23
t
29
NOP CONDITIO N
X
XXX
DB15
SELECTED REGISTER DATA CLOCKED OUT
t
t
22
t
27
INPUT WO RD F O R DAC N-1
t
23
DB0
t
t
19
DB0
20
21
4826
DB0
t
24
t
28
t
25
SDO
DB23 DB0
UNDEFINED
DB23 DB0
INPUT WO RD FOR DAC N
Figure 4. Daisychain Mode Timing Diagram
Rev. PrC | Page 9 of 37
AD5412 Preliminary Technical Data
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ABSOLUTE MAXIMUM RATINGS
TA = 25°C unless otherwise noted. Transient currents of up to 100 mA do not cause SCR latch-up.
Table 5.
Parameter Rating
AVDD to AGND, DGND −0.3V to 48V AVSS to AGND, DGND +0.3 V to −48 V AVDD to AVSS -0.3V to 60V DVCC to AGND, DGND −0.3 V to +7 V Digital Inputs to AGND, DGND
Digital Outputs to AGND, DGND
REFIN/REFOUT to AGND, DGND −0.3 V to +7 V V
to AGND, DGND AVSS to AVDD
OUT
I
to AGND, DGND −0.3V to AVDD
OUT
AGND to DGND -0.3V to +0.3V Operating Temperature Range
Industrial −40°C to +851°C Storage Temperature Range −65°C to +150°C Junction Temperature (TJ max) 125°C 24-Lead TSSOP Package
θJA Thermal Impedance 42°C/W 40-Lead LFCSP Package
θJA Thermal Impedance 28°C/W Power Dissipation (TJ max – TA)/ θJA Lead Temperature JEDEC Industry Standard
Soldering J-STD-020
−0.3 V to DV (whichever is less)
−0.3 V to DV (whichever is less)
+ 0.3 V or 7 V
CC
+ 0.3 V or 7V
CC
Stresses above those listed under Absolute Maximum Ratings may cause permanent damage to the device. This is a stress rating only; functional operation of the device at these or any other conditions above those indicated in the operational section of this specification is not implied. Exposure to absolute maximum rating conditions for extended periods may affect device reliability.
ESD CAUTION
1
Power dissipated on chip must be de-rated to keep junction temperature
below 125°C. Assumption is max power dissipation condition is sourcing 24mA into Ground from AVDD with a 3mA on-chip current.
Rev. PrC | Page 10 of 37
Preliminary Technical Data AD5412
T
E
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PIN CONFIGURATION AND FUNCTION DESCRIPTIONS
AV DV
FAULT
GND
CLEAR SELE CT
CLEAR
LATCH
SCLK
SDIN
SDO
AGND
GND
SS CC
1 2
AD5422
3 4 5
TOP VIEW
6
(Not to Scale)
7 8
9 10 11 12
24 23 22 21 20 19 18 17 16 15 14 13
AV
DD
-V
SENSE
+V
SENSE
V
OUT
BOOST I
OUT
C
COMP2
C
COMP1
DV
CC
REFIN REFOUT R
SET
SELEC
CLEAR SELECT
CC
NC
DV
NC
40 39 38 37 36 35 34 33 32 31
NC
1 2
FAULT
3
GND
4 5
CLEAR
6
LATCH
SCLK
7
SDIN
8 9
SDO
NC
10
11 12 13 14 15 16 17 18 19 20
NC
DGND
AGND
AVSSAVDDNC
AD5422
TOP VIEW
(Not to Scale)
SS
AV
SENS
SENSE
OUT
-V
NC
+V
V
30
NC
29
CAP2
28
CAP1
27
BOOST
26
I
OUT
25
C
COMP2
24
C
COMP1
23
CC
SELECT
DV
22
NC
21
NC
SET
R
GND
NC
NC
REFIN
REFOUT
Figure 5. TSSOP Pin Configuration Figure 6. LFCSP Pin Configuration
Table 6. Pin Function Descriptions
TSSOP Pin No. LFCSP Pin No. Mnemonic Description
1 14,37 AVSS
Negative Analog Supply Pin. Voltage ranges from –3 V to –24 V. This pin can be
connected to 0V if output voltage range is unipolar. 2 39 DVCC Digital Supply Pin. Voltage ranges from 2.7 V to 5.5 V. 3 2
FAU LT
Fault alert, This pin is asserted low when an open circuit is detected in current mode or
an over temperature is detected. Open drain output, must be connected to a pull-up
resistor. 4,12 3,15 GND These pins must be connected to 0V. 1,10,11,19,
NC No Connection. 20,21,22,30, 31,35,38,40
5 4
CLEAR
Selects the voltage output clear value, either zero-scale or mid-scale code. See Table 20
SELECT
6 5 CLEAR
Active High Input. Asserting this pin will set the current output to the bottom of the selected range or will set the voltage output to the user selected value (zero-scale or mid-scale).
7 6 LATCH
Positive edge sensitive latch, a rising edge will parallel load the input shift register data into the DAC register, also updating the output.
8 7 SCLK
Serial Clock Input. Data is clocked into the shift register on the rising edge of SCLK. This
operates at clock speeds up to 30 MHz. 9 8 SDIN Serial Data Input. Data must be valid on the rising edge of SCLK. 10 9 SDO
Serial Data Output. Used to clock data from the serial register in daisy-chain or readback
mode. Data is clocked out on the falling edge of SCLK and is valid on the falling edge of
SCLK. 11 12 AGND Ground reference pin for analog circuitry. N/A 13 DGND
Ground reference pin for digital circuitry. (AGND and DGND are internally connected in
TSSOP package). 13 16 R
SET
An external, precision, low drift 15k current setting resistor can be connected to this
pin to improve the I
temperature drift performance. Refer to Features section.
OUT
14 17 REFOUT Internal Reference Voltage Output. REFOUT = 5 V ± 2 mV. 15 18 REFIN
External Reference Voltage Input. Reference input range is 4 V to 5 V. REFIN = 5 V for
specified performance. 16 23
DV
CC
SELECT
This pin when connected to GND disables the internal supply and an external supply
must be connected to the DV
pin. Leave this pin unconnected to enable the internal
CC
supply. Refer to features section. 17 24 C 18 25 C
COMP1
COMP2
Optional compensation capacitor connection for the voltage output buffer. Connecting
a 4nF capacitor between these pins will allow the voltage output to drive up to 1µF.
Rev. PrC | Page 11 of 37
AD5412 Preliminary Technical Data
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TSSOP Pin No. LFCSP Pin No. Mnemonic Description
19 26 I 20 27 BOOST
N/A 28 CAP1 Connection for optional output filtering capacitor. Refer to Features section. N/A 29 CAP2 Connection for optional output filtering capacitor. Refer to Features section. 21 32 V
22 33 +V 23 34 -V 24 36 AVDD Positive Analog Supply Pin. Voltage ranges from 10.8V to 60V. Paddle Paddle AVSS
Current output pin.
OUT
Optional external transistor connection. Connecting an external transistor will reduce the power dissipated in the AD5412. Refer to the features section.
OUT
Sense connection for the positive voltage output load connection.
SENSE
Sense connection for the negative voltage output load connection.
SENSE
Buffered Analog Output Voltage. The output amplifier is capable of directly driving a 2 kΩ, 2000 pF load.
Negative Analog Supply Pin. Voltage ranges from –3 V to –24 V. This pin can be connected to 0V if output voltage range is unipolar.
Rev. PrC | Page 12 of 37
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