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European Stocking Distributor Phone: +41 44 730 33 53 Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 Rev A KEY FEATURES LOW COST RAIL TO RAIL INPUT & OUTPUT SINGLE SUPPLY OPERATION OPERATION TO 5V SUPPLY ± HIGH OUTPUT CURRENT – 10A 250 WATT OUTPUT CAPABILITY 100 WATT DISSIPATION CAPABILITY WIDE SUPPLY RANGE 5V – 50V ± ± INTEGRATED HEAT SINK AND FAN TEMPERATURE REPORTING OVER-TEMP SHUTDOWN APPLICATIONS LINEAR MOTOR DRIVE INDUSTRIAL AUDIO SEMICONDUCTOR TESTING VIBRATION CANCELLATION DESCRIPTION The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many industrial applications where it is important to obtain a maximum output signal with limited supply voltages. The PAD116 can operate with a power supply voltage as little as ±5V (10V total). With a footprint only 5.6 in 2 the PAD116 offers outstanding performance that rivals much more expensive hybrid component amplifiers or rack- mount amplifiers. Four-wire programmable current limit is built-in, but the PAD116 is compatible with the external PAD121 current limit accessory module as well. The PAD116 also features a substrate temperature reporting output, over-temp shutdown and external compensation. The amplifier circuitry is built on a thermally conductive but electrically insulating substrate mounted to an integral heat sink and fan assembly. No BeO is used in the PAD116. The resulting module is a small, high performance turn-key solution for many industrial applications. PAD116 MOUNTED IN EVALUATION KIT A NEW CONCEPT A critical task in any power amplifier application is cooling the amplifier. Until now component amplifier manufacturers often treated this task as an after-thought, left for the user to figure out. At Power Amp Design the best heat sink and fan combination is chosen at the start and becomes an integral part of the overall amplifier design. The result is the most compact and volumetric efficient design combination at the lowest cost. In addition, this integrated solution concept offers an achievable real-world power dissipation rating, not the ideal rating usually cited when the amplifier case is somehow kept at 25 o C. The user no longer needs to specify, procure or assemble separate components. Power Amp Design PAD116 RAIL TO RAIL OPERATIONAL AMPLIFIER 1

RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

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Page 1: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 Rev A

KEY FEATURES • LOW COST• RAIL TO RAIL INPUT & OUTPUT• SINGLE SUPPLY OPERATION• OPERATION TO 5V SUPPLY±• HIGH OUTPUT CURRENT – 10A• 250 WATT OUTPUT CAPABILITY• 100 WATT DISSIPATION CAPABILITY• WIDE SUPPLY RANGE 5V – 50V± ±• INTEGRATED HEAT SINK AND FAN• TEMPERATURE REPORTING• OVER-TEMP SHUTDOWN

APPLICATIONS • LINEAR MOTOR DRIVE• INDUSTRIAL AUDIO• SEMICONDUCTOR TESTING• VIBRATION CANCELLATION

DESCRIPTION The PAD116 rail to rail operational amplifier isconstructed with surface mount components to provide a cost effective solution for many industrial applications where it is important to obtain a maximum output signal with limited supply voltages. The PAD116 can operate with a power supply voltage as little as ±5V (10V total). With a footprint only 5.6 in2 the PAD116 offers outstanding performance that rivals much more expensive hybrid component amplifiers or rack-mount amplifiers. Four-wire programmable current limit is built-in, but the PAD116 iscompatible with the external PAD121 current limit accessory module as well. The PAD116 also features a substrate temperature reporting output, over-temp shutdown and external compensation. The amplifier circuitry is built on a thermally conductive but electrically insulating substrate mounted to an integral heat sink and fan assembly. No BeO is used in the PAD116. The resulting module is a small, high performance turn-key solution for many industrial applications.

PAD116 MOUNTED IN EVALUATION KIT

A NEW CONCEPT A critical task in any power amplifier application is cooling the amplifier. Until now component amplifier manufacturers often treated this task as an after-thought, left for the user to figure out. At Power Amp Design the best heat sink and fan combination is chosen at the start and becomes an integral part of the overall amplifier design. The result is the most compact and volumetric efficient design combination at the lowest cost. In addition, this integrated solution concept offers an achievable real-world power dissipation rating, not the ideal rating usually cited when the amplifier case is somehow kept at 25oC. The user no longer needs to specify, procure or assemble separate components.

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Page 2: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 CIRCUIT & CONNECTIONS

EQUIVALENT CIRCUIT

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AMPLIFIER PINOUT & CONNECTIONS

-IN +IN

SUB

IC

Cc1+Vcc1 2 3 4 5 6 7 8

2728 2526 24 23 22 21

Cc2

Cc

VIEW FROM COMPONENT SIDE

PHASE COMPENSATIONGAIN Cc

1 470pF220pF3100pF10>

9 10 11 12

1820 19 17NC OUT2

C1C2

GND SD

C4

-IL -Vs+IL

OUT1

SRTO FEEDBACK& LOAD

+Vs1413

15162930-Vcc NC NC OUT

C4+

TMP

+* * *

***

*SEE APPLICATION CIRCUITSFOR OTHER CONNECTIONSAND FUNCTIONS.

AC +VBOUT

-VB

1.6V/uS4V/uS8V/uS

SLEW RATE

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Page 3: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 ABSOLUTE MAXIMUM RATINGS SPECIFICATIONS

__________________________________________________________________________________ ABSOLUTE MAXIMUM RATINGS

SUPPLY VOLTAGE, +Vs to −Vs7 100V INPUT VOLTAGE +Vs to −Vs7

OUTPUT CURRENT, peak 15A, within SOA DIFFERENTIAL INPUT VOLTAGE ± 20VPOWER DISSIPATION, internal, DC 100W TEMPERATURE, pin solder, 10s 300°C TEMPERATURE, junction2 175°C TEMPERATURE RANGE, storage −40 to 70°C5

OPERATING TEMPERATURE, heat sink −40 to 105°C

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PARAMETER TEST CONDITIONS1 MIN TYP MAX UNITS INPUT OFFSET VOLTAGE 1 3 mV OFFSET VOLTAGE vs. temperature Full temperature range 20 50 μV/OC OFFSET VOLTAGE vs. supply 20 μV/V BIAS CURRENT, initial3 100 pABIAS CURRENT vs. supply 0.1 pA/V OFFSET CURRENT, initial 50 pA INPUT RESISTANCE, DC 100 G Ω INPUT CAPACITANCE 4 pF COMMON MODE VOLTAGE RANGE ± Vs VCOMMON MODE REJECTION, DC 92 dB NOISE, referred to input 100kHz bandwidth, 1kΩ RS 1 mVrmsGAIN OPEN LOOP RL= 100Ω, CC=100pF 100 dBGAIN BANDWIDTH PRODUCT @ 1MHz 1 MHz PHASE MARGIN Full temperature range 60 degree OUTPUT VOLTAGE SWING IO = 10A +Vs−1 VVOLTAGE SWING IO = −10A −Vs+1 VCURRENT, continuous, DC 10 A SLEW RATE, AV = −10 CC = 100pF 6.4 8 V/μS SETTLING TIME, to 0.1% 2V Step 2 μS RESISTANCE No load, DC 3 Ω SHUTDOWN TRANSITION TIME, off ± output voltage to zero 1 μS TRANSITION TIME, on Zero to normal output 2 μS CURRENT internal currents dumped into load ± 6 mA POWER SUPPLY VOLTAGE7 ± 5 ± 35 ± 50 V CURRENT, quiescent 32 38 mA +VB OUT, -VB OUT, load Output voltage for accessory modules ± 1.5 mA THERMAL RESISTANCE, AC, junction to air4 Full temperature range, f 60Hz ≥ 1.1 OC/W RESISTANCE, DC, junction to air Full temperature range 1.5 OC/W TEMPERATURE RANGE, ambient air5 −40 70 OC TEMPERATURE, shutdown, substrate 110 OCFAN, 60mm dc brushless, ball bearing OPERATING VOLTAGE 12 V

OPERATING CURRENT 150 mAAIR FLOW 25 CFMRPM 3800 RPMNOISE 30 dBL10, life expectancy, 50OC6 45 kHrsL10, life expectancy, 25OC6 60 kHrs

NOTES: 1. Unless otherwise noted: TC=25OC, compensation Cc=470pF, DC input specifications are ± value given, power supply voltage is typical rating. 2. Derate internal power dissipation to achieve high MTBF. 3. Doubles for every 10OC of case temperature increase. 4. Rating applies if the output current alternates between both output transistors at a rate faster than 60Hz.5. Limited by fan characteristics. During operation, even though the heat sink may be at 85OC or more the fan will be at a lower temperature.6. L10 refers to the time it takes for 10% of a population of fans to fail. Lower ambient temperature increase fan life. 7. +Vs, +Vcc must be connected together. –Vs, –Vcc must be connected together.

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Page 4: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 OPERATING CONSIDERATIONS

COMMON MODE RANGE The PAD116 is a rail to rail operational amplifier. This means that it works equally well with the input pins biased to either supply rail or at any voltage in between. The most common application utilizing this function is the single supply voltage amplifier where the +IN pin and the –Vs supply pin are grounded.

OUTPUT SWING With no load the output voltage of the PAD116 can swing to either supply voltage rail. As the load current increases the maximum output swing is reduced, but at 10A output the swing from the supply rails is less than 1V. This does not include any voltage drop due to the sensing voltage required for the current limit circuit to operate.

CURRENT LIMIT The current limiting function of the PAD116 is a versatile circuit that can be used to implement a four-wire current limit configuration or, in combination with some external components can be configured to implement a fold-over current limit circuit. The four-wire current limit configuration insures that parasitic resistance in the output line, Rp, does not affect the programmed current limit setting. See Figure 1. The sense voltage for current limit is 0.65V. Thus:

SRVIL

65.0=

Where IL is the value of the limited current and RS is the value of the current limit sense resistor. In addition, the sense voltage has a temperature coefficient

approximately equal to –2.2mV/oC. The fold-over function reduces the available current as the voltage across the output transistors increases to help insure that the SOA of the output transistors is not exceeded. Refer to Application Circuits fordetails on how to connect the current limit circuitry to implement either a four-wire current limit or current limit with a fold-over function.

In some applications better current limiting protection and a lower sense voltage may be desired. In this case the PAD116 can be operated with the PAD121 current limit accessory module. See Figure 3 in the applications section and the PAD121 data sheet for more details.

COOLING FAN The PAD116 relies on its fan for proper cooling of the amplifier. Make sure that air flow to the fan and away from the heat sink remains unobstructed. The cooling method used isimpingement cooling, which means that cool air is pushed intothe heat sink and warm air is exhausted through the spaces between the heat sink fins.

MOUNTING THE AMPLIFIER The amplifier is supplied with four 4-40 M/F hex spacers at

the four corners of the amplifier. Since the male threaded ends of the spacers extend beyond the amplifier pins the spacers

provide a convenient alignment tool to guide the insertion of the amplifier pins into the circuit board. Once the amplifier is seated secure the module with the provided 4-40 nuts and torque to 4.7 in oz [3.8 N cm] max. See“Dimensional Information” for a detailed drawing. It isrecommended that the heat sink be grounded to the systemground. This can easily be done by providing a groundedcircuit board pad around any of the holes for the mountingstuds.

TEMPERATURE REPORTING An analog output voltage is provided (pin 6, TMP) relative to ground and proportional to the temperature in degrees C. The slope is approximately -10.82mV/oC. The output voltage follows the equation:

T = (2.127 V) (92.42) Where V is the TMP output voltage and T is the substrate temperature in degrees C. This high impedance output circuit is susceptible to capacitive loading and pickup from the output of the amplifier. When monitoring TMP filter the voltage as shown in Figure 4. See Applications Circuits.

THERMAL SHUTDOWN The temperature monitoring circuit automatically turns off the output transistors when the substrate temperature reaches 110oC. When the substrate cools down 10oC the output is enabled once again. The thermal shutdown feature is activated either by amplifier overloads or a failure of the fan circuit.

EXTERNAL SHUTDOWN When pin 8 ( SD ) is taken low (ground) the output stage is turned “off” and remains “off” as long as pin 8 is low. When pin 8 is monitored with a high impedance circuit it also functions as a flag, reporting when the amplifier is shut down. A “high” (+5V) on pin 8 indicates the temperature is in the normal range. A “low” (ground) indicates a shutdown condition. See Application Circuits for details on how to implement an external shutdown circuit and how to monitor the shutdown status.

PHASE COMPENSATION The PAD116 must be phase compensated to operate correctly. The compensation capacitor, CC, is connected between pins 4 and 5. On page 6, Typical Performance Graphs, you will find plots for small signal response and phase response using compensation values of 100pF and 470pF. The compensation capacitor must be an NPO type capacitor rated for the full supply voltage (100V). On page 2, under Amplifier Pinout and Connections, a table gives recommended compensation capacitance values for various gains and the resulting slew rate for each capacitor value.

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Page 5: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 TYPICAL PERFORMANCE GRAPHS

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-40 -20 0 20 40 60 80 100AMBIENT AIR TEMPERATURE, TA(OC)

0

20

40

60

80

100

INTE

RN

AL

PO

WER

DIS

SIP

ATIO

N, P

D (W

)

POWER DERATING

0 20 40 60 80 100TOTAL SUPPLY VOLTAGE, (V)

94

96

98

100

102

104

NO

RM

ALIZ

ED Q

UIE

SCEN

T C

UR

REN

T, I Q

(%)

QUIESCENT CURRENT VS SUPPLY VOLTAGE

-40 -20 0 20 40 60 80 100 120CASE TEMP, OC

-0.9

-0.6

-0.3

0

0.3

0.6

0.9

1.2

1.5

1.8

2.1

OFF

SE

T V

OLT

AGE,

Vos

(mV

)

OFFSET VOLTAGE DRIFT

-40 -20 0 20 40 60 80 100 120CASE TEMPERATURE, OC

97.5

100

102.5

105

107.5

110

112.5N

OR

MA

LIZE

D Q

UIE

SC

EN

T C

UR

RE

NT,

IQ(%

)

QUIESCENT CURRENT VS TEMPERATURE

0 5 10 15OUTPUT AMPS, A

0

0.4

0.8

1.2

1.6

2

OU

TPU

T S

WIN

G F

RO

M +

Vs

OR

-Vs,

V

OUTPUT SWING FROM SUPPLY RAILS

TJ=25OC, +OUTPUT

TJ=175O C, +OUTPUT

TJ=25O C, -OUTPUT

T J=17

5OC, -O

UTPUT

100 1000 10000FREQUENCY, F(Hz)

0.1

1

DIS

TOR

TIO

N, %

HARMONIC DISTORTION

Av = -10Cc = 100pF4Ω LOAD±Vs = ±40V 1W

10W

100W

30 100 1k 30k10k0.02

0.1

1

2

5

Page 6: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 PERFORMANCE GRAPHS CONTINUED

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1 10 100 1000 10000 1000001000000FREQUENCY, F(Hz)

0

20

40

60

80

100

120

OP

EN L

OO

P G

AIN

, A(d

B)

SMALL SIGNAL RESPONSE

1 10 100 1k 10k 100k 1M2M

Cc=100pF

100000 1000000FREQUENCY, F(Hz)

-200

-180

-160

-140

-120

-100

-80

PHA

SE, Θ

(O)

SMALL SIGNAL PHASE RESPONSE

20k 1M 2M

Cc=100pF

100k

1000 10000 100000FREQUENCY, F(Hz)

10

100

20

30

40

5060708090

OU

TPU

T V

OLT

AG

E S

WIN

G, V

(p-p

)

POWER RESPONSE

1k 100k 300k10k

CC =100pF

CC =220pF

CC =470pF

-40 -20 0 20 40 60 80 100 120SUBSTRATE TEMPERATURE, OC

0.8

1

1.2

1.4

1.6

1.8

2

2.2

2.4

2.6TE

MP

OU

TPU

T, V

OLT

S (V

)

TEMPERATURE OUTPUT

1kHz sine clipped by standard current limit into 4Ω load 20kHz into 4Ω load, G=-10, Cc=100pF

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Page 7: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 PERFORMANCE GRAPHS CONTINUED

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SHUTDOWN RESPONSE, NEGATIVE OUTPUT TO ZERO TRANSITION

The oscilloscope display at the left shows an expanded view of a 1kHz 1.2A p-p amplifier output signal being interrupted near the negative peak by a shutdown signal on Ch2. The Ch1 display shows the output current going to zero about 2µS after the shutdown signal goes low. The ringing in the output signal is due to inductance in the output line.

SHUTDOWN RESPONSE, POSITIVE OUTPUT TO ZERO TRANSITION

The oscilloscope display at the right shows an expanded view of a 1kHz 1.2A p-p amplifier output signal being interrupted near the positive peak by a shutdown signal on Ch2. The Ch1 display shows the output current going to zero about 0.5µS after the shutdown signal goes low. The ringing in the output signal is due to inductance in the output line.

Pulse Response, Negative to Positive , 4Ω Load Pulse Response, Positive to Negative, 4Ω Load G=-10, Cc=100pF G=-10, Cc=100pF

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Page 8: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 SAFE OPERATING AREA

SAFE OPERATING AREA

The safe operating area (SOA) of a power amplifier is its single most important specification. The SOA graph presented above serves as a first approximation to help you decide if the PAD116 will meet the demands of your application. But a more accurate determination can be reached by making use of the PAD Power™ spreadsheet which can be found in the Power Amp Design website under the Power Toolstab. While the graph above adequately shows DC SOA and some pulse information it does not take into account ambient temperatures higher than 30OC, AC sine, phase or non-symmetric conditions that often appear in real-world applications. The PAD Power™ spreadsheet takes all of these effects into account.

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10 100SUPPLY TO OUTPUT DIFFERENTIAL,Vs-Vo (V)

1

10

OU

TPU

T C

UR

REN

T, Io

(A)

SAFE OPERATING AREA

100μS1mS

10mS

100mS

]

1S

10S50S

DC, 30 OC AMBIENT

]]]

PULSE 3% DUTY CYCLE

3

20

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Page 9: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 DIMENSIONAL INFORMATION

Power Amp Design PADXXX

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Page 10: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 APPLICATION CIRCUITS

30

OUT29

+IL-IL

21

R R

R

IN

R

R

S

F

IN

P

L

9-1118-20

IC 2322

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FIGURE 1. 4-WIRE CURRENT LIMIT

8SD

0

5V

5.1k2N2222

5.1k

5V

10k

2N2907

H=SHUTDOWN

5V

0

5V8

SD

5.1k

5V

H=SHUTDOWN

OPEN COLLECTOR OR OPEN DRAIN LOGIC GATES CIRCUIT

SHUTDOWN MONITOR

SHUTDOWN MONITOR

TRANSISTOR CIRCUIT

FIGURE 2. EXTERNAL SHUTDOWN WITH MONITOR

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Page 11: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 APPLICATION CIRCUITS

RES

ET

1 2 3 4 5 6 7 8

PAD121 VIEW FROM COMPONENT SIDE

9 10 11 12

OU

T

SD

STA

TUS

GN

D

-Vs

+IL

NC -IL IC

+Vs

+5V

OU

T

& LOADTO FEEDBACK

RS

15

14TMP

+IL

PAD116 VIEW FROM COMPONENT SIDE

23

6AC +VccCc2 Cc1

NC2729

+IN30

-IN -Vcc28

OUT25

NC26

NC24

21 43 5+VsOUT1

192122OUT2

20 1718 16-Vs

1087 9 1211 13

SUBOUT+VB GND SD

IC-IL-VB

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FIGURE 3 USING THE PAD116 WITH THE PAD121

TMP6 87

GND SD

10k

2200pF

TMPMONITOR

2200pF

MONITOR

FIGURE 4 OUTPUTS SDMONITORING TMP AND

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Page 12: RAIL TO RAIL OPERATIONAL AMPLIFIER PAD116 · The PAD116 rail to rail operational amplifier is constructed with surface mount components to provide a cost effective solution for many

European Stocking Distributor Phone: +41 44 730 33 53

Email: [email protected] / www.hvps-condatas.com Rietbachstrasse 7, 8952 Schlieren (ZH) Switzerland

PAD116 APPLICATION CIRCUITS

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FIGURE 5 DUAL SLOPE (FOLD-OVER) CURRENT LIMIT

With the three current limit function pins (pins 21-23) dual slope current limiting can be implemented that more closely approximates the SOA curve of the amplifier than can be achieved with standard current limiting techniques. Values for resistors R1-R7 and RS can be calculated using the PAD Power™ spreadsheet that can be downloaded from the Power Amp Design web site under the Power Tools tab.

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