TI1 OPA124PA2 Operational amplifier Datasheet

®
OPA124
OPA
124
Low Noise Precision Difet ®
OPERATIONAL AMPLIFIER
FEATURES
APPLICATIONS
● LOW NOISE: 6nV/√Hz (10kHz)
● LOW BIAS CURRENT: 1pA max
● PRECISION PHOTODIODE PREAMP
● MEDICAL EQUIPMENT
● LOW OFFSET: 250µV max
● LOW DRIFT: 2µV/°C max
● HIGH OPEN-LOOP GAIN: 120dB min
● OPTOELECTRONICS
● DATA ACQUISITION
● TEST EQUIPMENT
● HIGH COMMON-MODE REJECTION:
100dB min
● AVAILABLE IN 8-PIN PLASTIC DIP
AND 8-PIN SOIC PACKAGES
Substrate
+VCC
8
7
DESCRIPTION
The OPA124 is a precision monolithic FET operational amplifier using a Difet (dielectrical isolation)
manufacturing process. Outstanding DC and AC performance characteristics allow its use in the most
critical instrumentation applications.
Bias current, noise, voltage offset, drift, open-loop
gain, common-mode rejection and power supply rejection are superior to BIFET and CMOS amplifiers.
Difet fabrication achieves extremely low input bias
currents without compromising input voltage noise
performance. Low input bias current is maintained
over a wide input common-mode voltage range with
unique cascode circuitry. This cascode design also
allows high precision input specifications and reduced
susceptibility to flicker noise. Laser trimming of thinfilm resistors gives very low offset and drift.
Compared to the popular OPA111, the OPA124 gives
comparable performance and is available in an 8-pin
PDIP and 8-pin SOIC package.
–In
2
+In
3
Noise-Free Cascode(2)
Output
6
Trim(1)
10kΩ
1
Trim(1)
10kΩ
2kΩ
2kΩ
2kΩ
2kΩ
5
OPA124 Simplified Circuit
–V CC
4
NOTES: (1) Omitted on SOIC. (2) Patented.
BIFET® National Semiconductor Corp.,
Difet ® Burr-Brown Corp.
International Airport Industrial Park • Mailing Address: PO Box 11400, Tucson, AZ 85734 • Street Address: 6730 S. Tucson Blvd., Tucson, AZ 85706 • Tel: (520) 746-1111 • Twx: 910-952-1111
Internet: http://www.burr-brown.com/ • FAXLine: (800) 548-6133 (US/Canada Only) • Cable: BBRCORP • Telex: 066-6491 • FAX: (520) 889-1510 • Immediate Product Info: (800) 548-6132
®
© 1993 Burr-Brown Corporation
SBOS028
PDS-1203C
1
OPA124
Printed in U.S.A. March, 1998
SPECIFICATIONS
ELECTRICAL
At VCC = ±15VDC and TA = +25°C, unless otherwise noted.
OPA124U, P
PARAMETER
CONDITION
MIN
MAX
80
40
15
8
1.2
3.3
15
0.8
✻
✻
✻
✻
✻
✻
✻
✻
±200
±4
110
100
±800
±7.5
VCM = 0VDC
±1
VCM = 0VDC
±1
VCM = 0VDC
TA = TMIN to TMAX
VCC = ±10V to ±18V
TA = TMIN to TMAX
BIAS CURRENT(1)
Input Bias Current
88
84
TYP
MAX
40
15
8
6
0.7
1.6
9.5
0.5
MIN
OPA124PB
TYP
INPUT NOISE
Voltage, fO = 10Hz(4)
fO = 100Hz(4)
fO = 1kHz(4)
fO = 10kHz(5)
fB = 10Hz to 10kHz(5)
fB = 0.1Hz to 10Hz
Current, fB = 0.1Hz to 10Hz
fO = 0.1Hz thru 20kHz
OFFSET VOLTAGE(1)
Input Offset Voltage
vs Temperature
Supply Rejection
vs Temperature
OPA124UA, PA
TYP
MAX
UNITS
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
nV/√Hz
nV/√Hz
nV/√Hz
nV/√Hz
µVrms
µVp-p
fAp-p
fA/√Hz
±150
±2
✻
✻
±500
±4
±100
±1
✻
✻
±250
±2
µV
µV/°C
dB
dB
±5
±0.5
±2
±0.35
±1
pA
±5
±0.5
±1
±0.25
±0.5
pA
90
86
MIN
100
90
CURRENT(1)
OFFSET
Input Offset Current
IMPEDANCE
Differential
Common-Mode
✻
✻
1013 || 1
1014 || 3
VOLTAGE RANGE
Common-Mode Input Range
Common-Mode Rejection
vs Temperature
Ω || pF
Ω || pF
VIN = ±10VDC
TA = TMIN to TMAX
±10
92
86
±11
110
100
✻
94
✻
✻
✻
✻
✻
100
90
✻
✻
✻
V
dB
dB
RL ≥ 2kΩ
106
125
✻
✻
120
✻
dB
20Vp-p, RL = 2kΩ
VO = ±10V, RL = 2kΩ
16
1
✻
✻
✻
✻
✻
✻
MHz
kHz
V/µs
%
µs
µs
✻
µs
✻
✻
✻
✻
✻
V
mA
Ω
pF
mA
OPEN-LOOP GAIN, DC
Open-Loop Voltage Gain
FREQUENCY RESPONSE
Unity Gain, Small Signal
Full Power Response
Slew Rate
THD
Settling Time, 0.1%
0.01%
Overload Recovery,
50% Overdrive(2)
✻
✻
Gain = –1, RL = 2kΩ
10V Step
1.5
32
1.6
0.0003
6
10
Gain = –1
5
RATED OUTPUT
Voltage Output
Current Output
Output Resistance
Load Capacitance Stability
Short Circuit Current
RL = 2kΩ
VO = ±10VDC
DC, Open Loop
Gain = +1
POWER SUPPLY
Rated Voltage
Voltage Range, Derated
Current, Quiescent
TEMPERATURE RANGE
Specification
Storage
θ Junction-Ambient: PDIP
SOIC
±11
±5.5
10
±5
IO = 0mADC
TMIN and TMAX
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
±12
±10
100
1000
40
✻
✻
✻
±15
✻
✻
✻
✻
✻
✻
✻
✻
✻
2.5
–25
–65
±18
3.5
✻
+85
+125
✻
✻
✻
✻
✻
90
100
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
✻
VDC
VDC
mA
°C
°C
°C/W
°C/W
✻ Specification same as OPA124U, P
NOTES: (1) Offset voltage, offset current, and bias current are measured with the units fully warmed up. For performance at other temperatures see Typical Performance
Curves. (2) Overload recovery is defined as the time required for the output to return from saturation to linear operation following the removal of a 50% input overdrive.
(3) For performance at other temperatures see Typical Performance Curves. (4) Sample tested, 98% confidence. (5) Guaranteed by design.
®
OPA124
2
CONNECTION DIAGRAMS
Top View
DIP
Offset Trim
1
8
Top View
Substrate
–In
2
7
+VS
+In
3
6
Output
–VS
4
5
Offset Trim
SOIC
NC
1
8
Substrate
–In
2
7
+VS
+In
3
6
Output
–VS
4
5
NC
NC = No Connect
PACKAGE/ORDERING INFORMATION
PRODUCT
PACKAGE
PACKAGE
DRAWING NUMBER(1)
OPA124U
OPA124P
OPA124UA
OPA124PA
OPA124PB
8-Lead SOIC
8-Pin Plastic DIP
8-Lead SOIC
8-Pin Plastic DIP
8-Pin Plastic DIP
182
006
182
006
006
TEMPERATURE
RANGE
BIAS
CURRENT
pA, max
OFFSET
DRIFT
µV/°C, max
–25°C to +85°C
–25°C to +85°C
–25°C to +85°C
–25°C to +85°C
–25°C to +85°C
5
5
2
2
1
7.5
7.5
4
4
2
NOTE: (1) For detailed drawing and dimension table, please see end of data sheet, or Appendix C of Burr-Brown IC Data Book.
ABSOLUTE MAXIMUM RATINGS(1)
ELECTROSTATIC
DISCHARGE SENSITIVITY
Supply ........................................................................................... ±18VDC
Internal Power Dissipation(2) ......................................................... 750mW
Differential Input Voltage(3) .......................................................... ±36VDC
Input Voltage Range(3) ................................................................. ±18VDC
Storage Temperature Range .......................................... –65°C to +150°C
Operating Temperature Range ....................................... –40°C to +125°C
Lead Temperature (soldering, 10s) ................................................ +300°C
Output Short Circuit Duration(4) ............................................... Continuous
Junction Temperature .................................................................... +175°C
This integrated circuit can be damaged by ESD. Burr-Brown
recommends that all integrated circuits be handled with
appropriate precautions. Failure to observe proper handling
and installation procedures can cause damage.
ESD damage can range from subtle performance degradation to complete device failure. Precision integrated circuits
may be more susceptible to damage because very small
parametric changes could cause the device not to meet its
published specifications.
NOTES: (1) Stresses above these ratings may cause permanent damage.
(2) Packages must be derated based on θJA = 90°C/W for PDIP and 100°C/W
for SOIC. (3) For supply voltages less than ±18VDC, the absolute maximum
input voltage is equal to +18V > VIN > –VCC – 6V. See Figure 2. (4) Short circuit
may be to power supply common only. Rating applies to +25°C ambient.
Observe dissipation limit and TJ.
The information provided herein is believed to be reliable; however, BURR-BROWN assumes no responsibility for inaccuracies or omissions. BURR-BROWN assumes
no responsibility for the use of this information, and all use of such information shall be entirely at the user’s own risk. Prices and specifications are subject to change
without notice. No patent rights or licenses to any of the circuits described herein are implied or granted to any third party. BURR-BROWN does not authorize or warrant
any BURR-BROWN product for use in life support devices and/or systems.
®
3
OPA124
TYPICAL PERFORMANCE CURVES
At TA = +25°C, and VCC = ±15VDC, unless otherwise noted.
INPUT CURRENT NOISE SPECTRAL DENSITY
INPUT VOLTAGE NOISE SPECTRAL DENSITY
1k
Voltage Noise (nV/√Hz)
Current Noise (fA/√Hz)
100
10
1
PB
100
U, P
PB
10
1
0.1
1
10
100
1k
10k
100k
1M
1
10
100
1k
10k
100k
Frequency (Hz)
Frequency (Hz)
TOTAL(1) INPUT VOLTAGE NOISE SPECTRAL
DENSITY vs SOURCE RESISTANCE
TOTAL(1) INPUT VOLTAGE NOISE (PEAK-TO-PEAK)
vs SOURCE RESISTANCE
1k
1M
1k
R S = 1MΩ
Voltage Noise (µVp-p)
Voltage Noise (nV/√Hz)
R S = 10MΩ
100
R S = 100kΩ
PB
10
R S = 100 Ω
NOTE: (1) Includes contribution
from source resistance.
1
100
PB
fB = 0.1Hz to 10Hz
10
1
0.1
1
10
100
1k
10k
100k
10
4
10 5
10
6
10
7
10
8
10
9
10
Frequency (Hz)
Source Resistance (Ω)
VOLTAGE AND CURRENT NOISE SPECTRAL
DENSITY vs TEMPERATURE
TOTAL INPUT VOLTAGE NOISE SPECTRAL DENSITY
AT 1kHz vs SOURCE RESISTANCE
12
8
1
6
0.1
4
–25
0
25
50
75
100
Current Noise (fA/√Hz)
10
RS
100
OPA124PB +
Resistor
10
Resistor Noise Only
1
0.01
125
100
1k
10k
100k
1M
Source Resistance (Ω)
Temperature (°C)
®
OPA124
Voltage Noise, EO (nV/√Hz)
EO
10
–50
10
1k
100
f O = 1kHz
Voltage Noise (nV/√Hz)
NOTE: (1) Includes contribution
from source resistance.
4
10M
100M
TYPICAL PERFORMANCE CURVES (CONT)
At TA = +25°C, and VCC = ±15VDC, unless otherwise noted.
BIAS AND OFFSET CURRENT
vs TEMPERATURE
1k
1k
100
10
10
10
1
1
0.1
Bias Current (pA)
PB
10
1
1
Bias Current
Offset Current
0.1
0.1
0.01
–50
0
–25
25
50
75
0.01
125
100
0.01
0.01
–15
–10
Ambient Temperature (°C)
0
5
10
15
COMMON-MODE REJECTION
vs FREQUENCY
140
140
120
120
Common-Mode Rejection (dB)
100
80
60
40
20
0
100
80
60
40
20
0
1
10
100
1k
10k
100k
1M
10M
1
10
100
Frequency (Hz)
1k
10k
100k
1M
10M
Frequency (Hz)
COMMON-MODE REJECTION
vs INPUT COMMON-MODE VOLTAGE
OPEN-LOOP FREQUENCY RESPONSE
140
120
120
–45
Voltage Gain (dB)
110
100
90
100
80
–90
Phase
Margin
≈ 65°
60
Gain
40
–135
Phase Shift (Degrees)
Power Supply Rejection (dB)
–5
Common-Mode Voltage (V)
POWER SUPPLY REJECTION
vs FREQUENCY
Common-Mode Rejection (dB)
0.1
Offset Current (pA)
100
Offset Current (pA)
Bias Current (pA)
BIAS AND OFFSET CURRENT
vs INPUT COMMON-MODE VOLTAGE
80
20
70
–15
0
–10
–5
0
5
10
15
–180
1
Common-Mode Voltage (V)
10
100
1k
10k
100k
1M
10M
Frequency (Hz)
®
5
OPA124
TYPICAL PERFORMANCE CURVES (CONT)
At TA = +25°C, and VCC = ±15VDC, unless otherwise noted.
3
3
2
2
1
1
0
–50
–25
0
25
50
75
100
Gain Bandwidth (MHz)
4
Slew Rate (V/µs)
Gain Bandwidth (MHz)
4
3
3
2
2
1
1
0
0
125
0
0
5
20
MAXIMUM UNDISTORTED OUTPUT
VOLTAGE vs FREQUENCY
OPEN-LOOP GAIN vs TEMPERATURE
30
Output Voltage (Vp-p)
140
130
Voltage Gain (dB)
15
Supply Voltage (±VCC )
Ambient Temperature (°C)
120
110
20
10
0
100
–50
–25
0
25
50
75
100
1k
125
10k
100k
1M
Frequency (Hz)
Ambient Temperature (°C)
SMALL SIGNAL TRANSIENT RESPONSE
LARGE SIGNAL TRANSIENT RESPONSE
15
60
10
40
Output Voltage (mV)
Output Voltage (V)
10
5
0
–5
20
0
–20
–40
–10
–60
–15
0
10
20
30
40
0
50
®
OPA124
1
2
3
Time (µs)
Time (µs)
6
4
5
Slew Rate (V/µs)
GAIN-BANDWIDTH AND SLEW RATE
vs SUPPLY VOLTAGE
GAIN-BANDWIDTH AND SLEW RATE
vs TEMPERATURE
TYPICAL PERFORMANCE CURVES (CONT)
At TA = +25°C, and VCC = ±15VDC, unless otherwise noted.
SUPPLY CURRENT vs TEMPERATURE
SETTLING TIME vs CLOSED-LOOP GAIN
4
100
Supply Current (mA)
Settling Time (µs)
80
60
0.01%
40
0.1%
3
2
1
20
0
0
1
10
100
–50
1k
0
25
50
75
Ambient Temperature (°C)
INPUT OFFSET VOLTAGE WARM-UP DRIFT
INPUT OFFSET VOLTAGE CHANGE
DUE TO THERMAL SHOCK
100
125
150
Offset Voltage Change (µV)
20
Offset Voltage Change (µV)
–25
Closed-Loop Gain (V/V)
10
0
–10
U, P
75
PB
0
+25°C
+85°C
TA = +25°C to TA = +85°C
Air Environment
–75
–150
–20
0
1
2
3
4
5
–1
6
0
1
2
3
4
5
Time From Thermal Shock (Minutes)
Time From Power Turn-On (Minutes)
®
7
OPA124
APPLICATIONS INFORMATION
+VCC
OFFSET VOLTAGE ADJUSTMENT
The OPA124 offset voltage is laser-trimmed and will require
no further trim for most applications. In order to reduce
layout leakage errors, the offset adjust capability has been
removed from the SOIC versions (OPA124UA and
OPA124U). The PDIP versions (OPA124PB, OPA124PA,
and OPA124P) do have pins available for offset adjustment.
As with most amplifiers, externally trimming the remaining
offset can change drift performance by about 0.3µV/°C for
each 100µV of adjusted offset. The correct circuit configuration for offset adjust for the PDIP packages is shown in
Figure 1.
2
3
OPA124P
6
1
5
10kΩ to 1MΩ trim potentiometer.
(100kΩ recommended).
±10mV typical trim range.
4
–VCC
FIGURE 1. Offset Voltage Trim for PDIP packages.
2
Input Current (mA)
I IN
INPUT PROTECTION
Conventional monolithic FET operational amplifiers require
external current-limiting resistors to protect their inputs
against destructive currents that can flow when input FET
gate-to-substrate isolation diodes are forward-biased. Most
BIFET amplifiers can be destroyed by the loss of –VCC.
Maximum Safe Current
1
V
0
–1
Maximum Safe Current
Unlike BIFET amplifiers, the Difet OPA124 requires input
current limiting resistors only if its input voltage is greater
than 6V more negative than –VCC. A 10kΩ series resistor
will limit input current to a safe level with up to ±15V input
levels, even if both supply voltages are lost (Figure 2).
Static damage can cause subtle changes in amplifier input
characteristics without necessarily destroying the device. In
precision operational amplifiers (both bipolar and FET types),
this may cause a noticeable degradation of offset voltage and
drift. Static protection is recommended when handling any
precision IC operational amplifier.
–2
–15
–10
–5
0
5
10
15
Input Voltage (V)
FIGURE 2. Input Current vs Input Voltage with ±VCC Pins
Grounded.
Non-Inverting
2
GUARDING AND SHIELDING
As in any situation where high impedances are involved,
careful shielding is required to reduce “hum” pickup in input
leads. If large feedback resistors are used, they should also
be shielded along with the external input circuitry.
In
Buffer
2
8
OPA124
6
In
OPA124
3
In
8
Out
3
8
OPA124
6
Bottom View
2
3
8
Out
Inverting
Leakage currents across printed circuit boards can easily
exceed the bias current of the OPA124. To avoid leakage
problems, the OPA124 should be soldered directly into a
printed circuit board. Utmost care must be used in planning
the board layout. A “guard” pattern should completely
surround the high impedance input leads and should be
connected to a low impedance point which is at the signal
input potential.
6
1
Out
7
6
5
4
Board layout for PDIP input guarding: guard top and bottom of board.
FIGURE 3. Connection of Input Guard.
The amplifier substrate should be connected to any input
shield or guard via pin 8 minimizing both leakage and noise
pickup (see Figure 3).
If guarding is not required, pin 8 should be connected to
ground.
®
OPA124
NOTE: No trim on SOIC.
7
8
PACKAGE OPTION ADDENDUM
www.ti.com
7-Apr-2009
PACKAGING INFORMATION
Orderable Device
Status (1)
Package
Type
Package
Drawing
Pins Package Eco Plan (2)
Qty
Lead/Ball Finish
MSL Peak Temp (3)
OPA124P
OBSOLETE
PDIP
P
8
TBD
Call TI
Call TI
OPA124PA
OBSOLETE
PDIP
P
8
TBD
Call TI
Call TI
OPA124PA2
OBSOLETE
PDIP
P
8
TBD
Call TI
Call TI
OPA124PB
OBSOLETE
PDIP
P
8
TBD
Call TI
Call TI
OPA124U
ACTIVE
SOIC
D
8
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124U/2K5
ACTIVE
SOIC
D
8
2500 Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124U/2K5G4
ACTIVE
SOIC
D
8
2500 Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UA
ACTIVE
SOIC
D
8
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UA/2K5
ACTIVE
SOIC
D
8
2500 Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UA/2K5E4
ACTIVE
SOIC
D
8
2500 Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UAE4
ACTIVE
SOIC
D
8
75
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UAG4
ACTIVE
SOIC
D
8
75
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UE4
ACTIVE
SOIC
D
8
75
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
OPA124UG4
ACTIVE
SOIC
D
8
75
Green (RoHS &
no Sb/Br)
CU NIPDAU
Level-3-260C-168 HR
75
75
(1)
The marketing status values are defined as follows:
ACTIVE: Product device recommended for new designs.
LIFEBUY: TI has announced that the device will be discontinued, and a lifetime-buy period is in effect.
NRND: Not recommended for new designs. Device is in production to support existing customers, but TI does not recommend using this part in
a new design.
PREVIEW: Device has been announced but is not in production. Samples may or may not be available.
OBSOLETE: TI has discontinued the production of the device.
(2)
Eco Plan - The planned eco-friendly classification: Pb-Free (RoHS), Pb-Free (RoHS Exempt), or Green (RoHS & no Sb/Br) - please check
http://www.ti.com/productcontent for the latest availability information and additional product content details.
TBD: The Pb-Free/Green conversion plan has not been defined.
Pb-Free (RoHS): TI's terms "Lead-Free" or "Pb-Free" mean semiconductor products that are compatible with the current RoHS requirements
for all 6 substances, including the requirement that lead not exceed 0.1% by weight in homogeneous materials. Where designed to be soldered
at high temperatures, TI Pb-Free products are suitable for use in specified lead-free processes.
Pb-Free (RoHS Exempt): This component has a RoHS exemption for either 1) lead-based flip-chip solder bumps used between the die and
package, or 2) lead-based die adhesive used between the die and leadframe. The component is otherwise considered Pb-Free (RoHS
compatible) as defined above.
Green (RoHS & no Sb/Br): TI defines "Green" to mean Pb-Free (RoHS compatible), and free of Bromine (Br) and Antimony (Sb) based flame
retardants (Br or Sb do not exceed 0.1% by weight in homogeneous material)
(3)
MSL, Peak Temp. -- The Moisture Sensitivity Level rating according to the JEDEC industry standard classifications, and peak solder
temperature.
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provided. TI bases its knowledge and belief on information provided by third parties, and makes no representation or warranty as to the
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incoming materials and chemicals. TI and TI suppliers consider certain information to be proprietary, and thus CAS numbers and other limited
Addendum-Page 1
PACKAGE OPTION ADDENDUM
www.ti.com
7-Apr-2009
information may not be available for release.
In no event shall TI's liability arising out of such information exceed the total purchase price of the TI part(s) at issue in this document sold by TI
to Customer on an annual basis.
Addendum-Page 2
PACKAGE MATERIALS INFORMATION
www.ti.com
13-Feb-2009
TAPE AND REEL INFORMATION
*All dimensions are nominal
Device
Package Package Pins
Type Drawing
SPQ
Reel
Reel
Diameter Width
(mm) W1 (mm)
A0 (mm)
B0 (mm)
K0 (mm)
P1
(mm)
W
Pin1
(mm) Quadrant
OPA124U/2K5
SOIC
D
8
2500
330.0
12.4
6.4
5.2
2.1
8.0
12.0
Q1
OPA124UA/2K5
SOIC
D
8
2500
330.0
12.4
6.4
5.2
2.1
8.0
12.0
Q1
Pack Materials-Page 1
PACKAGE MATERIALS INFORMATION
www.ti.com
13-Feb-2009
*All dimensions are nominal
Device
Package Type
Package Drawing
Pins
SPQ
Length (mm)
Width (mm)
Height (mm)
OPA124U/2K5
SOIC
D
8
2500
346.0
346.0
29.0
OPA124UA/2K5
SOIC
D
8
2500
346.0
346.0
29.0
Pack Materials-Page 2
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