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RT8294 1 ds8294-02 march 2011 www.richtek.com ordering information pin configurations (top view) note : richtek products are : } rohs compliant and compatible with the current require- ments of ipc/jedec j-std-020. } suitable for use in snpb or pb-free soldering processes. 2a, 23v, 340khz synchronous step-down converter features l 1.5% high accuracy feedback voltage l input voltage range : 4.5v to 23v l 2a output current l integrated n-mosfets l current mode control l 340khz fixed frequency operation l output adjustable voltage range : 0.923v to 20v l efficiency up to 95% l programmable soft-start l stable with low esr ceramic output capacitors l cycle-by cycle over current protection l input under voltage lockout l output under voltage protection l thermal shutdown protection l rohs compliant and halogen free sop-8 boot vin sw gnd ss en fb comp 2 3 4 5 6 7 8 boot vin sw gnd ss en fb comp gnd 2 3 4 5 6 7 8 9 sop-8 (exposed pad) applications l wireless ap/router l set-top-box l industrial and commercial low power systems l lcd monitors and tvs l green electronics/appliances l point of load regulation of high-performance dsps general description the RT8294 is a high efficiency, monolithic synchronous step-down dc/dc converter that can deliver up to 2a output current from a 4.5v to 23v input supply. the RT8294's current mode architecture and external compensation allow the transient response to be optimized over a wide range of loads and output capacitors. cycle-by-cycle current limit provides protection against shorted outputs and soft-start eliminates input current surge during start up. the RT8294 also provides under voltage protection and thermal shutdown protection. the low current (< 3 m a) shutdown mode provides output disconnection, enabling easy power management in battery-powered systems. the RT8294 is available in sop-8 and sop-8 (exposed pad) packages. package type s : sop-8 sp: sop-8(exposed pad-option 1) RT8294 lead plating system g : green (halogen free and pb free) z : eco (ecological element with halogen free and pb free)
RT8294 2 ds8294-02 march 2011 www.richtek.com typical application circuit marking information RT8294gs : product number ymdnn : date code RT8294gsp : product number ymdnn : date code v out (v) r1 (k w ) r2 (k w ) r c (k w ) c c (nf) l ( m h) c out ( m f) 8 76.8 10 27 3.3 22 22 x 2 5 45.3 10 20 3.3 15 22 x 2 3.3 26.1 10 13 3.3 10 22 x 2 2.5 16.9 10 9.1 3.3 6.8 22 x 2 1.8 9.53 10 5.6 3.3 4.7 22 x 2 1.2 3 10 3.6 3.3 3.6 22 x 2 table 1. recommended component selection vin en gnd boot fb sw 7 5 2 3 1 l 10 h 10nf 22 f x 2 r1 26.1k r2 10k v out 3.3v/2a 10 f v in 4.5v to 23v RT8294 ss 8 c ss comp c c 3.3nf r c 13k c p open 6 4, 9 (exposed pad) c boot c in 0.1 f c out r en 100k RT8294 gsymdnn RT8294 gspymdnn RT8294gs RT8294gsp RT8294 zspymdnn RT8294zsp : product number ymdnn : date code RT8294zsp
RT8294 3 ds8294-02 march 2011 www.richtek.com functional pin description function block diagram pin no. sop-8 sop-8 (exposed pad) pin name pin function 1 1 boot bootstrap for high side gate driver. connect a 10nf or greater ceramic capacitor from boot to sw pins. 2 2 vin input supply voltage, 4.5v to 23v. must bypass with a suitably large ceramic capacitor. 3 3 sw phase node. connect this pin to external l-c filter. 4 4, 9 (exposed pad) gnd ground. the exposed pad must be soldered to a large pcb and connected to gnd for maximum power dissipation. 5 5 fb feedback input pin. this pin is connected to the converter output. it is used to set the output of the converter to regulate to the desired value via an internal resistive voltage divider. for an adjustable output, an external resistive voltage divider is connected to this pin. 6 6 comp compensation node. comp is used to compensate the regulation control loop. connect a series rc network from comp to gnd. in some cases, an additional capacitor from comp to gnd is required. 7 7 en enable input pin. a logic high enables the converter; a logic low forces the RT8294 into shutdown mode reducing the supply current to less than 3 m a. attach this pin to vin with a 100k w pull up resistor for automatic startup. 8 8 ss soft-start control input. ss controls the soft-start period. connect a capacitor from ss to gnd to set the soft-start period. a 0.1 m f capacitor sets the soft-start period to 15.5ms . va + - + - + - uv comparator oscillator foldback control 0.5v internal regulator + - 2.7v shutdown comparator current sense amplifier boot vin gnd sw fb en comp 3v 5k va v cc 6 a slope comp current comparator + - 0.923v s r q q ss + - 1.2v lockout comparator v cc + error amp w 130m w 130m
RT8294 4 ds8294-02 march 2011 www.richtek.com absolute maximum ratings (note 1) l supply voltage, v in ---------------------------------------------------------------------------------------------- - 0.3v to 25v l input voltage, sw------------------------------------------------------------------------------------------------ - 0.3v to (v in + 0.3v) l v boot - v sw ------------------------------------------------------------------------------------------------------- - 0.3v to 6v l other pins voltages---------------------------------------------------------------------------------------------- - 0.3v to 6v l power dissipation, p d @ t a = 25 c sop-8----------------------------------------------------------------------------------------------------------------1.111w sop-8 (exposed pad)--------------------------------------------------------------------------------------------1.333w l package thermal resistance (note 2) sop-8, q ja ----------------------------------------------------------------------------------------------------------90 c/w sop-8 (exposed pad), q ja --------------------------------------------------------------------------------------75 c sop-8 (exposed pad), q jc --------------------------------------------------------------------------------------15 c l junction temperature--------------------------------------------------------------------------------------------150 c l lead temperature (soldering, 10 sec.)-----------------------------------------------------------------------260 c l storage temperature range------------------------------------------------------------------------------------ - 65 c to 150 c l esd susceptibility (note 3) hbm (human body mode)--------------------------------------------------------------------------------------2kv mm (machine mode)---------------------------------------------------------------------------------------------200v recommended operating conditions (note 4) l supply voltage, v in ----------------------------------------------------------------------------------------------4.5v to 23v l junction temperature range----------------------------------------------------------------------------------- - 40 c to 125 c l ambient temperature range----------------------------------------------------------------------------------- - 40 c to 85 c electrical characteristics (v in = 12v, t a = 25 c unless otherwise specified) parameter symbol test conditions min typ max unit shutdown supply current v en = 0v -- 0.5 3 m a supply current i cc v en = 3 v, v fb = 1v -- 0.8 1.2 ma feedback voltage v fb 4.5v Q v in Q 23v 0.909 0.923 0.937 v error amplifier transconductance g ea i c = 10 m a -- 940 -- m a/v high-side switch-on resistance r ds(on)1 -- 130 -- m w low-side switch-on resistance r ds(on)2 -- 130 -- m w high-side switch leakage current v en = 0v, v sw = 0v -- 0 10 m a upper switch current limit min.duty cycle, v boot - sw = 4.8v -- 4.3 -- a low switch current limit from drain to source -- 1.3 -- a comp to current sense transconductance g cs -- 4 -- a/v oscillator frequency f osc1 300 340 380 khz short circuit oscillation frequency f osc2 v fb = 0v -- 100 -- khz maximum duty cycle d max v fb = 0.7v -- 93 -- % minimum on-time t on -- 100 -- ns to be continued
RT8294 5 ds8294-02 march 2011 www.richtek.com note 1. stresses listed as the above "absolute maximum ratings" may cause permanent damage to the device. these are for stress ratings. functional operation of the device at these or any other conditions beyond those indicated in the operational sections of the specifications is not implied. exposure to absolute maximum rating conditions for extended periods may remain possibility to affect device reliability. note 2. q ja is measured in natural convection at t a = 25 c on a high effective thermal conductivity four-layer test board, of jedec 51-7 thermal measurement standard. the measurement case position of q jc is on the exposed pad of the package. note 3. devices are esd sensitive. handling precaution is recommended. note 4. the device is not guaranteed to function outside its operating conditions.. parameter symbol test conditions min typ max unit logic high v ih 2.7 -- 5.5 en input threshold voltage logic low v il -- -- 0.4 v input under voltage lockout threshold v uvlo v in rising 3.8 4.2 4.5 v input under voltage lockout hysteresis d v uvlo -- 320 -- mv soft-start current i ss v ss = 0v -- 6 -- m a soft-start period t ss c ss = 0.1 m f -- 15.5 -- ms thermal shutdown t sd -- 150 -- c
RT8294 6 ds8294-02 march 2011 www.richtek.com typical operating characteristics efficiency vs. output current 0 10 20 30 40 50 60 70 80 90 100 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 output current (a) efficiency (%) v in = 4.5v v in = 12v v in = 23v v out = 3.3v reference voltage vs. input voltage 0.900 0.905 0.910 0.915 0.920 0.925 0.930 0.935 0.940 4 6 8 10 12 14 16 18 20 22 24 input voltage (v) reference voltage (v) output voltage vs. output current 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.31 3.32 3.33 3.34 3.35 3.36 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 output current (a) output voltage (v) v out = 3.3v v in = 4.5v v in = 12v v in = 23v frequency vs. input voltage 300 310 320 330 340 350 360 370 380 4 6 8 10 12 14 16 18 20 22 24 input voltage (v) frequency (khz) 1 v out = 3.3v, i out = 0a frequency vs. temperature 300 310 320 330 340 350 360 370 380 -50 -25 0 25 50 75 100 125 temperature ( c) frequency (khz) 1 v out = 3.3v, v in = 12v, i out = 0a reference voltage vs. temperature 0.900 0.905 0.910 0.915 0.920 0.925 0.930 0.935 0.940 -50 -25 0 25 50 75 100 125 temperature ( c) reference voltage (v)
RT8294 7 ds8294-02 march 2011 www.richtek.com current limit vs. temperature 3.0 3.5 4.0 4.5 5.0 5.5 6.0 -50-25 0 25 50 75100125 temprature (c) current limit (a) v in = 12v, v out = 3.3v time (100 s/div) v out (100mv/div) i out (1a/div) v in = 12v, v out = 3.3v, i out = 0a to 2a load transient response load transient response time (100 s/div) v in = 12v, v out = 3.3v, i out = 1a to 2a i out (1a/div) v out (100mv/div) switching time (1 s/div) v in = 12v, v out = 3.3v, i out = 2a i l (1a/div) v out (10mv/div) v sw (10v/div) power off from v in time (10ms/div) i l (1a/div) v out (2v/div) v in (5v/div) v in = 12v, v out = 3.3v, i out = 2a power on from v in time (10ms/div) i l (1a/div) v out (2v/div) v in (5v/div) v in = 12v, v out = 3.3v, i out = 2a
RT8294 8 ds8294-02 march 2011 www.richtek.com power on from en time (10ms/div) v out (2v/div) v en (2v/div) v in = 12v, v out = 3.3v, i out = 2a i out (2a/div) power off from en time (10ms/div) v in = 12v, v out = 3.3v, i out = 2a v out (2v/div) v en (2v/div) i out (2a/div)
RT8294 9 ds8294-02 march 2011 www.richtek.com application information the RT8294 is a synchronous high voltage buck converter that can support the input voltage range from 4.5v to 23v and the output current can be up to 2a. output voltage setting the resistive voltage divider allows the fb pin to sense the output voltage as shown in figure 1. ?? + ? ? outfb r1 v = v1 r2 where v fb is the feedback reference voltage 0.923v (typ.). external bootstrap diode connect a 10nf low esr ceramic capacitor between the boot pin and sw pin. this capacitor provides the gate driver voltage for the high side mosfet. it is recommended to add an external bootstrap diode between an external 5v and boot pin for efficiency improvement when input voltage is lower than 5.5v or duty ratio is higher than 65% .the bootstrap diode can be a low cost one such as in4148 or bat54. the external 5v can be a 5v fixed input from system or a 5v output of the RT8294. note that the external boot voltage must be lower than 5.5v figure 2. external bootstrap diode figure 1. output voltage setting soft-start the RT8294 contains an external soft-start clamp that gradually raises the output voltage. the soft-start timing can be programmed by the external capacitor between ss pin and gnd. the chip provides a 6 m a charge current for the external capacitor. if 0.1 m f capacitor is used to set the soft-start, the period will be 15.5ms (typ.). chip enable operation the en pin is the chip enable input. pulling the en pin low (<0.4v) will shut down the device. during shutdown mode, the RT8294 quiescent current drops to lower than 3 m a. driving the en pin high ( > 2.7v, < 5.5v) will turn on the device again. for external timing control (e.g.rc), the en pin can also be externally pulled high by adding a r en * resistor and c en * capacitor from the vin pin (see figure 5). an external mosfet can be added to implement digital control on the en pin when no system voltage above 2.5v is available, as shown in figure 3. in this case, a 100k w pull-up resistor, r en , is connected between v in and the en pin. mosfet q1 will be under logic control to pull down the en pin. the output voltage is set by an external resistive voltage divider according to the following equation : figure 3. enable control circuit for logic control with low voltage to prevent enabling circuit when v in is smaller than the v out target value, a resistive voltage divider can be placed between the input voltage and ground and connected to the en pin to adjust ic lockout threshold, as shown in figure 4. for example, if an 8v output voltage is regulated from a 12v input voltage, the resistor, r en2 , can be selected to set input lockout threshold larger than 8v. RT8294 gnd fb r1 r2 v out vin en gnd boot fb sw 7 5 2 3 1 l r1 r2 v out chip enable v in RT8294 ss 8 c ss comp c c r c c p 6 4, 9 (exposed pad) c boot c out c in r en q1 100k sw boot 5v RT8294 10nf
RT8294 10 ds8294-02 march 2011 www.richtek.com outout l(max)in(max) vv l =1 fiv - d ???? the inductor's current rating (caused a 40 c temperature rising from 25 c ambient) should be greater than the maximum load current and its saturation current should be greater than the short circuit peak current limit. please see table 2 for the inductor selection reference. table 2. suggested inductors for typical application circuit component supplier series dimensions (mm) tdk vlf10045 10 x 9.7 x 4.5 tdk slf12565 12.5 x 12.5 x 6.5 taiyo yuden nr8040 8 x 8 x 4 out in rmsout(max) inout v v i = i1 vv - c in and c out selection the input capacitance, c in, is needed to filter the trapezoidal current at the source of the high side mosfet. to prevent large ripple current, a low esr input capacitor sized for the maximum rms current should be used. the rms current is given by : this formula has a maximum at v in = 2v out , where i rms = i out / 2. this simple worst case condition is commonly used for design because even significant deviations do not offer much relief. choose a capacitor rated at a higher temperature than required. several capacitors may also be paralleled to meet size or height requirements in the design. for the input capacitor, one 10 m f low esr ceramic capacitors are recommended. for the recommended capacitor, please refer to table 3 for more detail. the selection of c out is determined by the required esr to minimize voltage ripple. moreover, the amount of bulk capacitance is also a key for c out selection to ensure that the control loop is stable. loop stability can be checked by viewing the load transient response as described in a later section. the output ripple, d v out , is determined by : outl out 1 viesr 8fc dd+ ?? the output ripple will be highest at the maximum input voltage since d i l increases with input voltage. multiple capacitors placed in parallel may be needed to meet the esr and rms current handling requirement. dry tantalum, special polymer, aluminum electrolytic and ceramic capacitors are all available in surface mount d- ???? outout l in vv i =1 flv having a lower ripple current reduces not only the esr losses in the output capacitors but also the output voltage ripple. high frequency with small ripple current can achieve highest efficiency operation. however, it requires a large inductor to achieve this goal. for the ripple current selection, the value of d i l = 0.24(i max ) will be a reasonable starting point. the largest ripple current occurs at the highest v in . to guarantee that the ripple current stays below the specified maximum, the inductor value should be chosen according to the following equation : hiccup mode for the RT8294, hiccup mode under voltage protection (uvp) is provided. when the fb voltage, v fb , drops below 0.5v, the uvp function will be triggered and the RT8294 will shut down for a period of time and then recover automatically. the hiccup mode uvp can reduce input current in short circuit conditions. inductor selection the inductor value and operating frequency determine the ripple current according to a specific input and output voltage. the ripple current d i l increases with higher v in and decreases with higher inductance. figure 4. the resistors can be selected to set ic lockout threshold vin en gnd boot fb sw 7 5 2 3 1 l r1 r2 v out v in RT8294 ss 8 c ss comp c c r c c p 6 4, 9 (exposed pad) c boot c out c in 100k 8v 12v r en2 r en1 10 f
RT8294 11 ds8294-02 march 2011 www.richtek.com packages. special polymer capacitors offer very low esr value. however, it provides lower capacitance density than other types. although tantalum capacitors have the highest capacitance density, it is important to only use types that pass the surge test for use in switching power supplies. aluminum electrolytic capacitors have significantly higher esr. however, it can be used in cost sensitive applications for ripple current rating and long term reliability considerations. ceramic capacitors have excellent low esr characteristics but can have a high voltage coefficient and audible piezoelectric effects. the high q of ceramic capacitors with trace inductance can also lead to significant ringing. higher values, lower cost ceramic capacitors are now becoming available in smaller case sizes. their high ripple current, high voltage rating and low esr make them ideal for switching regulator applications. however, care must be taken when these capacitors are used at input and output. when a ceramic capacitor is used at the input and the power is supplied by a wall adapter through long wires, a load step at the output can induce ringing at the input, v in . at best, this ringing can couple to the output and be mistaken as loop instability. at worst, a sudden inrush of current through the long wires can potentially cause a voltage spike at v in large enough to damage the part. checking transient response the regulator loop response can be checked by looking at the load transient response. switching regulators take several cycles to respond to a step in load current. when a load step occurs, v out immediately shifts by an amount equal to d i load (esr) and c out also begins to be charge or discharged to generate a feedback error signal for the regulator to return v out to its steady-state value. during this recovery time, v out can be monitored for overshoot or ringing that would indicate a stability problem. emi consideration since parasitic inductance and capacitance effects in pcb circuitry would cause a spike voltage on sw pin when high side mosfet is turned-on/off, this spike voltage on sw may impact on emi performance in the system. in order to enhance emi performance, there are two methods to suppress the spike voltage. one way is by placing an r-c snubber between sw and gnd and locating them as close as possible to the sw pin (see figure 5). another method is by adding a resistor in series with the bootstrap capacitor, c boot , but this method will decrease the driving capability to the high side mosfet. it is strongly recommended to reserve the r-c snubber during pcb layout for emi improvement. moreover, reducing the sw trace area and keeping the main power in a small loop will be helpful on emi performance. for detailed pcb layout guide, please refer to the section layout considerations. figure 5. reference circuit with snubber and enable timing control vin en gnd boot fb sw 7 5 2 3 1 l 10 h 10nf 22 fx2 r1 26.1k r2 10k v out 3.3v/2a 10 f chip enable v in 4.5v to 23v RT8294 ss 8 c ss 0.1 f comp c c 3.3nf r c 13k c p nc 6 4, exposed pad(9) c boot c out c in r boot * r s * c s * r en * c en * * : optional
RT8294 12 ds8294-02 march 2011 www.richtek.com figure 7. derating curves for RT8294 package (a) copper area = (2.3 x 2.3) mm 2 , q ja = 75 c/w (b) copper area = 10mm 2 , q ja = 64 c/w 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 0 25 50 75 100 125 ambient temperature ( c) power dissipation (w) copper area 70mm 2 50mm 2 30mm 2 10mm 2 min.layout sop-8 four-layer pcb thermal considerations for continuous operation, do not exceed absolute maximum operation junction temperature 125 c. the maximum power dissipation depends on the thermal resistance of ic package, pcb layout, the rate of surroundings airflow and temperature difference between junctions to ambient. the maximum power dissipation can be calculated by following formula : p d(max) = (t j(max) - t a ) / q ja where t j(max) is the maximum operation junction temperature, t a is the ambient temperature and the q ja is the junction to ambient thermal resistance. for recommended operating conditions specification of RT8294, the maximum junction temperature is 125 c. the junction to ambient thermal resistance q ja is layout dependent. for sop-8 (exposed pad) package, the thermal resistance q ja is 75 c/w on the standard jedec 51-7 four layers thermal test board. for sop-8 package, the thermal resistance q ja is 90 c/w on the standard jedec 51-7 four layers thermal test board. the maximum power dissipation at t a = 25 c can be calculated by following formula : p d(max) = (125 c - 25 c) / (75 c/w) = 1.33w (min. copper area pcb layout with sop-8 exposed pad) p d(max) = (125 c - 25 c) / (49 c/w) = 2.04w (70mm 2 copper area pcb layout with sop-8 exposed pad) p d(max) = (125 c - 25 c) / (90 c/w) = 1.11w (min. copper area pcb layout with sop-8) the thermal resistance q ja of sop-8 (exposed pad) is determined by the package architecture design and the pcb layout design. however, the package architecture design had been designed. if possible, it's useful to increase thermal performance by the pcb layout copper design. the thermal resistance q ja can be decreased by adding copper area under the exposed pad of sop-8 (exposed pad) package. as shown in figure 6, the amount of copper area to which the sop-8 (exposed pad) is mounted affects thermal performance. when mounted to the standard sop-8 (exposed pad) pad (figure 6.a), q ja is 75 c/w. adding copper area of pad under the sop-8 (exposed pad) (figure 6.b) reduces the q ja to 64 c/w. even further, increasing the copper area of pad to 70mm 2 (figure 6.e) reduces the q ja to 49 c/w. the maximum power dissipation depends on operating ambient temperature for fixed t j(max) and thermal resistance q ja . for RT8294 packages, the of de-rating curves in figure 7 allow the designer to see the effect of rising ambient temperature on the maximum power dissipation allowed.
RT8294 13 ds8294-02 march 2011 www.richtek.com (c) copper area = 30mm 2 , q ja = 54 c/w (d) copper area = 50mm 2 , q ja = 51 c/w figure 6. thermal resistance vs. copper area layout design (e) copper area = 70mm 2 , q ja = 49 c/w layout considerations for best performance of the RT8294, the following layout guidelines must be strictly followed. } input capacitor must be placed as close to the ic as possible. } sw should be connected to inductor by wide and short trace. keep sensitive components away from this trace. } the feedback components must be connected as close to the device as possible figure 8. pcb layout guide v in v out gnd c in gnd c p c c r c sw v out c out l1 r1 r2 input capacitor must be placed as close to the ic as possible. sw should be connected to inductor by wide and short trace. keep sensitive components away from this trace. the feedback components must be connected as close to the device as possible. boot vin sw gnd ss en fb comp gnd 2 3 4 5 6 7 8 9 c ss r s c s gnd v in r en table 3. suggested capacitors for c in and c out location component supplier part no. capacitance ( f) case size c in murata grm31cr61e106k 10 1206 c in tdk c3225x5r1e106k 10 1206 c in taiyo yuden tmk316bj106ml 10 1206 c out murata grm31cr60j476m 47 1206 c out tdk c3225x5r0j476m 47 1210 c out murata grm32er71c226m 22 1210 c out tdk c3225x5r1c22m 22 1210
RT8294 14 ds8294-02 march 2011 www.richtek.com a b j f h m c d i 8-lead sop plastic package dimensions in millimeters dimensions in inches symbol min max min max a 4.801 5.004 0.189 0.197 b 3.810 3.988 0.150 0.157 c 1.346 1.753 0.053 0.069 d 0.330 0.508 0.013 0.020 f 1.194 1.346 0.047 0.053 h 0.170 0.254 0.007 0.010 i 0.050 0.254 0.002 0.010 j 5.791 6.200 0.228 0.244 m 0.400 1.270 0.016 0.050 outline dimension
RT8294 15 ds8294-02 march 2011 www.richtek.com richtek technology corporation headquarter 5f, no. 20, taiyuen street, chupei city hsinchu, taiwan, r.o.c. tel: (8863)5526789 fax: (8863)5526611 information that is provided by richtek technology corporation is believed to be accurate and reliable. richtek reserves the right to make any change in circuit design, specification or other related things if necessary without notice at any time. no third party intellectual property infringement of the applications should be guaranteed by users when integrating richtek products into any application. no legal responsibility for any said applications is assumed by richtek. richtek technology corporation taipei office (marketing) 5f, no. 95, minchiuan road, hsintien city taipei county, taiwan, r.o.c. tel: (8862)86672399 fax: (8862)86672377 email: marketing@richtek.com a b j f h m c d i y x exposed thermal pad (bottom of package) 8-lead sop (exposed pad) plastic package symbol dimensions in millimeters dimensions in inches min max min max a 4.801 5.004 0.189 0.197 b 3.810 4.000 0.150 0.157 c 1.346 1.753 0.053 0.069 d 0.330 0.510 0.013 0.020 f 1.194 1.346 0.047 0.053 h 0.170 0.254 0.007 0.010 i 0.000 0.152 0.000 0.006 j 5.791 6.200 0.228 0.244 m 0.406 1.270 0.016 0.050 option 1 x 2.000 2.300 0.079 0.091 y 2.000 2.300 0.079 0.091 option 2 x 2.100 2.500 0.083 0.098 y 3.000 3.500 0.118 0.138

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