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 ZXSC100
SINGLE CELL DC-DC CONVERTER SOLUTION
DESCRIPTION
The ZXSC100 series is designed for DC-DC applications where step-up voltage conversion from very low input voltages is required. These applications mainly operate from single nickel cadmium or nickel metal hydride battery cells. The circuit can start up under full load with regulation maintained down to an input voltage of only 0.926 volts. The solution configuration ensures optimum efficiency over a wider range of load currents, several circuit configurations are possible with power dissipation up to 2W. The step up output voltage is easily programmed with external resistors, the non-synchronous architecture and SuperSOT4TM device enabling an output voltage down to the input voltage level. For best performance the ZXSC100 quiescent current is a small 150A ensuring minimum battery drain in no load conditions. The IC and discrete combination offers the ultimate cost vs performance solution for single cell DC-DC conversion.
FEATURES
* Efficiency maintained over a wide range of input
voltages and load currents 82% efficiency @ VBATT=1V
APPLICATIONS(continued)
* Hand held instruments * Portable medical equipment * Solar powered equipment
* * * *
Startup under full load Minimum operating input voltage VBATT=0.926V Adjustable output voltage down to VBATT
TYPICAL APPLICATION CIRCUIT
VBATT
Quiescent current typically 150A referred to input voltage * MSOP8 package
L1
D1
ZHCS1000
3.3V/0.1A
* SO8 package
R1 Q1 R3 C3 C2 U1
EM BAS RE
VCC
APPLICATIONS
* * * * * * * * *
Cordless telephones MP3 players PDA Pagers Battery backup supplies Electronic toothbrush GPS receivers Digital camera Palmtop computers DEVICE
ZXSC100X8 ZXSC100N8
C1
FMMT617 VDRIVE ISENSE FB GND
ZXSC100
R2
R4
ORDERING INFORMATION
Package
MSOP8 SO8
Partmarking
ZXSC100 ZXSC100
Reel size
7" 7"
Tape width
12mm 12mm
Quantity per reel
1,000 500
ISSUE 3 - JANUARY 2004 1
SEMICONDUCTORS
ZXSC100
ABSOLUTE MAXIMUM RATING
Supply voltage Maximum voltage other pins Power dissipation (25C) MSOP8 SO8 500mW 780mW 0.3 to 3.5V 0.3 to VCC+0.3V
Operating temperature Storage temperature Junction temperature
0 to 70C -55 to 150C 150C
ELECTRICAL CHARACTERISTICS (Unless otherwise stated) VCC=1.2V, TA = 25C
Symbol
I CC I DRIVE V DRIVE V FB V ISENSE T CVISENSE V DREF T CVDREF V CC(SRT) V CC(min) V CC(hys) I FB I ISENSE V O(min) V O(max) T OFF
(1)
Parameter
Quiescent current Base drive current V DRIVE o/p voltage Feedback voltage Output current reference voltage I SENSE voltage temp co. Drive current reference voltage V DREF temp co. Startup voltage Minimum operating input voltage Supply start up to shutdown hysteresis Feedback input current I SENSE input current Minimum output voltage Maximum output voltage Discharge pulse width
Conditions
Not switching V RE = V CC V RE = V CC , I DRIVE = 5mA
Min.
Typ.
150
Max. Units
200 10 A mA V
5 V CC - 0.17 708 12 730 17.5 0.4
752 24
mV mV %/C
Measured with respect to VCC
20
30 1
40
mV %/C
Any output load
1.01 0.926
1.06 0.98 80 100
1.1 1
V V mV
200 5.5
nA A V
V ISENSE = 0V
3 V CC
4
FMMT617as pass element (1) 1.7 3
20 4
V s
Depends on breakdown voltage of pass device. See FMMT617 datasheet
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
2
ZXSC100
OPERATING CONDITIONS
Symbol
F OSC
2 3
Parameter
Recommended operating frequency
3
Conditions
Min
Typ
Max
200
Units
kHz
These parameters guaranteed by design and characterization Operating frequency is application circuit dependant. See applications section
FMMT617
For the circuits described in the applications section, Zetex FMMT617 is the recommended pass transistor. The following indicates outline data for the transistor, more detailed information can be found at www.zetex.com
ELECTRICAL CHARACTERISTICS (at TA = 25C unless otherwise stated)
PARAMETER Collector-emitter breakdown voltage Collector-emitter saturation voltage SYMBOL V (BR)CEO V CE(sat) MIN. 15 TYP. 18 8 70 150 14 100 200 MAX. UNIT V mV mV mV CONDITIONS I C =10mA* I C =0.1A, I B =10mA* I C =1A, I B =10mA* I C =3A, I B =50mA*
*Measured under pulsed conditions. Pulse width=300s. Duty cycle 2%
ZHCS1000
For the circuits described in the applications section Zetex ZHCS1000 is the recommended Schottky diode. The following indicates outline data for the ZHCS, more detailed information is available at www.zetex.com
ELECTRICAL CHARACTERISTICS (at Tamb = 25C unless otherwise stated)
PARAMETER Forward voltage Reverse current Reverse recovery time SYMBOL VF IR t rr 12 MIN. TYP. MAX. 500 100 UNIT mV A ns CONDITIONS I F =1A V R =30V Switched from IF = 500mA to IR = 500mA. Measured at IR=50mA
*Measured under pulsed conditions. Pulse width=300s. Duty cycle 2%
ISSUE 3 - JANUARY 2004 3
SEMICONDUCTORS
ZXSC100
TYPICAL CHARACTERISTICS
300 2.0 1.5
Quiescent Current (A)
Output Voltage (%)
250
1.0 0.5 0.0 -0.5 -1.0 -1.5 -2.0 -10 0 10 20 30 40 50 60 70 80
200
150
100 1.0
1.5
2.0
2.5
Input Voltage (V)
Temperature (C)
Quiescent Current v Input Voltage
2.0 1.5 5.0
Output Voltage v Temperature
Load Regulation (%)
1.0 0.5 0.0 -0.5 -1.0 -1.5 -2.0 0 50m 100m
Line Regulation (%)
2.5
0.0
-2.5
-5.0 1.0
1.5
2.0
2.5
Output Current (A)
Input Voltage (V)
Load Regulation
Line Regulation
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
4
ZXSC100
DEVICE DESCRIPTION
The ZXSC100 is non-synchronous PFM, DC-DC controller IC which, when combined with a high performance external transistor, enables the production of a high efficiency boost converter for use in single cell applications. A block diagram is shown for the ZXSC100 in Figure 1.
VCC
The driver circuit supplies the external switching transistor with a defined current, which is programmed by an external resistor connected between the RE pin and VCC. The internal reference voltage for the circuit is 25mV below VCC. To maximise efficiency the external transistor is switched quickly, typically being forced off within 20ns. In higher power applications more current can be supplied to the switching transistor by using a further external component. The driver transistor in the IC can be bypassed with the addition of a discrete PNP. More information on this circuit configuration can be found in the applications section.
Shutdown Comp1
Drive RE I EM BAS
R1
VREF
R2 Comp2
VDRIVE ISENSE FB
GND
Figure 1 ZXSC100 Block Diagram A shutdown circuit turns the device on or off at VCC=1V with a hysteresis of typically 80mV. At start up, comparator Comp1 turns the driver circuit and therefore the external switching transistor on. This circuit will remain active until the feedback voltage at the pin FB rises above VREF, which is set to 730mV. An external resistive divider on the FB pin sets the output voltage level. Comparator Comp2 forces the driver circuit and the external switching transistor off, if the voltage at ISENSE exceeds 25mV. The voltage at ISENSE is taken from a current sense resistor connected in series with the emitter of the switching transistor. A monostable following the output of Comp2 extends the turn-off time of the output stage by a minimum of 2us. This ensures that there is sufficient time to discharge the inductor coil before the next on period. The AND gate between the monostable and Comp1 output ensures that the switching transistor always remains on until the ISENSE threshold is reached and that the minimum discharge period is always asserted. The pulse width is constant, the pulse frequency varies with the output load.
ISSUE 3 - JANUARY 2004 5
SEMICONDUCTORS
ZXSC100
PIN DESCRIPTIONS
Pin No. 1 2 3 Name EM BAS RE Description Emitter of internal drive transistor. Connect to RE in lower power applications. Must be unconnected in higher power applications Not connected in lower power applications. Connect to base of external drive transistor in higher power applications Drive current sense input. Internal threshold voltage set 25mV below V CC . Connected external sense resistor. Connect emitter of external drive transistor in higher power applications Supply voltage, generally NiMH, NiCd single cell Inductor current sense input. Internal threshold voltage set to 25mV. Connect external sense resistor Feedback sense. Internal threshold set to 730mV. Connect external resistive divider to output voltage Ground
4 5 6 7
V CC I SENSE FB G ND
EM BAS RE VCC
1 2 3 4
8 7 6 5
VDRIVE GND FB ISENSE
REFERENCE DESIGNS
Three typical DC-DC step-up converter applications for the ZXSC300 are shown. Firstly with a maximum output power of 0.33W, secondly with a maximum output power of 1.0W and finally driving white LED's in a flashlight application.
Low power solution (330mW) efficiency
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
6
ZXSC100
Low power solution, VOUT=3.3V, PL=0.33W
VBATT
L1
D1
ZHCS1000
3.3V/0.1A
R1 Q1 U1
EM BAS RE
VCC
R3 C3 C2
FMMT617 VDRIVE ISENSE FB GND
ZXSC100
C1
R2
R4
MATERIALS LIST
Ref U1 Q1 D1 R1 R2 R3 R4 C1 C2 C3 L1 Value N/A 20V, 13m, 7A 0.5V, 2A 0* 33m 110k 30k 220F 220F 1nF 22H Part Number ZXSC100X8 FMMT617 ZHCS1000 Generic Generic Generic Generic TPSD227M010R0100 TPSD227M010R0100 Generic D01608C-223 D03316P-223 Manufacturer Zetex Plc Zetex Plc Zetex Plc Various Various Various Various AVX AVX Various Coilcraft Comments Single cell converter, MSOP8 Low VCE(sat) NPN, SOT23 1A Shottky diode 0805 Size 0805 Size 0805 Size 0805 Size Low ESR tantalum capacitor Low ESR tantalum capacitor 0805 Size Low profile SMT
* Note: Refer to External Transistor base drive selection in the Applications Section.
ISSUE 3 - JANUARY 2004 7
SEMICONDUCTORS
ZXSC100
Higher power solution, VOUT=3.3V, PL=1W
VBATT
L1 R1
D1
ZHCS1000
3.3V/0.33A
Q2 Q1 U1
EM BAS RE
VCC
R3
C3
FMMT617
VDRIVE ISENSE FB GND
C2
ZXSC100
C1
R2
R4
MATERIALS LIST
Ref U1 Q1 Q2 D1 R1 R2 R3 R4 C1 C2 C3 L1 Value N/A 20V, 13m, 7A N/A 0.5V, 2A 3.3* 33m 110k 30k 220F 220F 1nF 22H Part Number ZXSC100X8 FMMT617 2N2907 ZHCS1000 Generic Generic Generic Generic TPSD227M010R0100 TPSD227M010R0100 Generic D01608C-223 D03316P-223 Manufacturer Zetex Plc Zetex Plc Various Zetex Plc Various Various Various Various AVX AVX Various Coilcraft Comments Single cell converter, MSOP8 Low VCE(SAT) NPN, SOT23 Small signal transistor 1A Shottky diode 0805 Size 0805 Size 0805 Size 0805 Size Low ESR tantalum capacitor Low ESR tantalum capacitor 0805 Size Low profile SMT
* Note: Refer to External Transistor base drive selection in the Applications Section.
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
8
ZXSC100
OTHER APPLICATIONS
The circuit itself is very simple, a minimum number of components are used and they are all small size. The ZXSC uses the very small MSOP8 package, the pass transistor is SOT23. No capacitors are required as the circuit is stable under all conditions. The inductor recommended is a low cost miniature component.
Q1 U1
EM BAS RE
VCC
VBATT
L1
100H
FMMT617 VDRIVE ISENSE FB GND
D1
WHITE LED
No compromise is made on efficiency however. In a standard configuration efficiency well over 80% can be achieved. With careful inductor selection efficiency over 90% is possible. The inherent flexibility of the ZXSC circuit means that parallel or series LEDs can be driven depending on application needs. A simple modification to the application circuit means that the maximum pulse current can be programmed to match the characteristics of the chosen LED load, pulse current in the range 10mA to 3A and beyond can be easily achieved. An application note (AN33) is available describing various circuits for driving white LEDs. This application note includes details of circuits that optimise battery life, maximise brightness and can be constructed for minimal cost. Contact your local Zetex office for further details.
R2
0.22R
ZXSC100
Driving white LED's in a flashlight application The ZXSC100 solution is ideal for LED lamp driving applications operating from a single cell. In principal conversion from 1.2V to the 3.6V, typically required by white LEDs, is necessary. Load currents in the region of 20mA to 50mA being required for a single LED element. To minimise size, weight and cost, single cell operation is an advantage. The ZXSC is well matched to single cell NiCd and NiMH characteristics. The circuit will turn on at 1.06V, to maximise the life the battery can offer, the converter does not turn off until the battery voltage falls to 0.93V.
ISSUE 3 - JANUARY 2004 9
SEMICONDUCTORS
ZXSC100
APPLICATIONS INFORMATION
The following section is a design guide for optimum converter performance. Switching transistor selection The choice of switching transistor has a major impact on the DC-DC converter efficiency. For optimum performance, a bipolar transistor with low VCE(SAT) and high gain is required. The majority of losses in the transistor are, `on-state' and can be calculated by using the formula below: Schottky diode selection As with the switching transistor the Schottky rectifier diode has a major impact on the DC-DC converter efficiency. A Schottky diode with a low forward voltage and fast recovery time should be used for this application. The majority of losses in the diode are, `on-state' and can be calculated by using the formula below: PD1 = IAV x VF(MAX) x TDIS (TOn + TOFF ) I PK 2
PQ1 =
((IAVxVCE(SAT) ) + ( IBx VBE(SAT) ))xTON (TON + TOFF) )
I PK = 2
where IAV =
where IAV
From the calculations above the impact on converter efficiency can be seen. External drive transistor selection For higher power applications an external transistor is required to provide the additional base drive current to the main switching transistor. For this, any small signal PNP transistor is sufficient. Please see reference designs for recommended part numbers. Inductor selection
The diode should be selected so that the maximum forward current is greater or equal to the maximum peak current in the inductor, and the maximum reverse voltage is greater or equal to the output voltage. The Zetex ZHCS1000 meets these needs. A data sheet for the ZHCS1000 is available on the Zetex web site or through your local Zetex sales office. Outline information is included in the characteristics section of this data sheet.
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
10
ZXSC100
The inductor value must be chosen to satisfy performance, cost and size requirements of the overall solution. For the reference designs we recommend an inductor value of 22H with a core saturation current rating greater than the converter peak current value. Inductor selection has a significant impact on the converter efficiency. For applications where efficiency is critical, a 5% improvement can be achieved with a high performance inductor. This should be selected with a core saturation current rating much higher than the peak current of the converter, say 3 times greater. The resultant reduction in core losses brings about the efficiency improvement. Peak current definition The peak current rating is a design parameter whose value is dependent upon the overall application. For the reference designs, a peak current of 1.2A was chosen to ensure that the converter could provide the required output power. In general, the IPK value must be chosen to ensure that the switching transistor, Q1, is in full saturation with maximum output power conditions, assuming worse-case input voltage and transistor gain under all operating temperature extremes. Once IPK is decided the value of RSENSE can be determined by: RSENSE = VISENSE IPK Figure 3 shows the discontinuous inductor current and the relationship between output power, TON, TDIS and TOFF.
IPK
0A
TON TDIS TOFF
Figure 3 Discontinuous inductor current
Output power definition By making the above assumptions for the inductor and IPK the output power can be determined by: Output Power = where TON = and TDIS = IPK xL VIN IPK xL (VOUT - VIN) (VOUT - VIN) x IPK x TDIS 2 x (TOn + TOFF )
Output capacitors Output capacitors are a critical choice in the overall performance of the solution. They are required to filter the output and supply load transient currents. There are three parameters which are paramount in the selection of the output capacitors; their capacitance value, IRIPPLE and ESR. The capacitance value is selected to meet the load transient requirements. The capacitors IRIPPLE rating must meet or exceed the current ripple of the solution. The ESR of the output capacitor can also affect loop stability and transient performance. The capacitors selected for the solution, and indicated in the reference designs, are optimised to provide the best overall performance.
Note: VOUT = output voltage + rectifier diode VF
ISSUE 3 - JANUARY 2004 11
SEMICONDUCTORS
ZXSC100
Input capacitors The input capacitor is chosen for its voltage and RMS current rating. The use of low ESR electrolytic or tantalum capacitors is recommended. Capacitor values for optimum performance are suggested in the reference design section. Also note that the ESR of the input capacitor is effectively in series with the input and hence contributes to efficiency losses in the order of IRMS2 x ESR. Output voltage adjustment The ZXSC100 is an adjustable converter allowing the end user the maximum flexibility in output voltage selection. For adjustable operation a potential divider network is connected as indicated in the diagram. The output voltage is determined by the equation: VOUT= VFB (1 + RA / RB), where VFB=730mV The resistor values, RA and RB, should be maximised to improve efficiency and decrease battery drain. Optimisation can be achieved by providing a minimum current of IFB(MAX)=200nA to the VBATT pin. The output is adjustable from VFB to the (BR)VCEO of the switching transistor, Q1. Note: For the reference designs, RA is assigned the label R3 and RB the label R4. External transistor base drive selection Optimisation of the external switching transistor base drive may be necessary for improved efficiency in low power applications. This can be achieved by introducing an external resistor between the supply and the RE pin of the ZXSC300. The resistor value can be determined by: R1 = VDREF IB
VOUT
RA
VFB
RB
0V
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
12
ZXSC100
Layout issues Layout is critical for the circuit to function optimally in terms of electrical efficiency, thermal considerations and noise. For `step-up converters' there are four main current loops, the input loop, power-switch loop, rectifier loop and output loop. The supply charging the input capacitor forms the input loop. The power-switch loop is defined when Q1 is `on', current flows from the input through the inductor, Q1, RSENSE and to ground. When Q1 is `off', the energy stored in the inductor is transferred to the output capacitor and load via D1, forming the rectifier loop. The output loop is formed by the output capacitor supplying the load when Q1 is switched back off. To optimise for best performance each of these loops should be kept separate from each other and interconnections made with short, thick traces thus minimising parasitic inductance, capacitance and resistance. Also the sense resistor R2 should be connected, with minimum trace length, between emitter lead of Q1 and ground, again minimising stray parasitics. The layout for the 0.33W solution is shown below.
Actual Size
Top silk
Drill holes
Top Copper 0.33W solution demo board layout ISSUE 3 - JANUARY 2004 13
Bottom Copper
SEMICONDUCTORS
ZXSC100
Designing with the ZXSC100
Introduction This section refers to the ZXSC100, 3.3V/100mA output reference design and demonstrates the dynamic performance of the solution. Main switching waveforms Steady state operation under constant load gives an excellent indication of ZXSC100 performance. Represented in Figure 3. is the main switching waveform, measured at the collector of Q1, indicating the transistor on-state and the diode energy transfer to the output.
VBATT
L1
22H
D1
ZHCS1000
3.3V/0.1A
R1
0R
Q1 U1
EM BAS RE
VCC
R3 C3
110K 1NF
FMMT617 VDRIVE ISENSE FB GND
C2
220F
ZXSC100
C1
220F
R2
0.033R
R4
30K
Figure 1. ZXSC100 low power solution, 3.3V/100mA output. Figure 3. Switching waveform The peak switching current is derived from the threshold of the ISENSE pin and the sense resistor value (see Applications section for calculations). Figure 4. shows the switching waveform associated with the ISENSE pin
Efficiency Efficiency is often quoted as one of the key parameters of a DC-DC converter. Not only does it give an instantaneous idea of heat dissipation, but also an idea as to the extent battery life can be extended. Figure 2. Shows the efficiency of the ZXSC100 low power solution. Efficiency v Output current is shown for a 3.3V output at various input voltages.
VBATT
L1
22H
D1
ZHCS1000
3.3V/0.1A
R1
0R
Q1 U1
EM BAS RE
VCC
R3 C3
110K 1NF
FMMT617 VDRIVE ISENSE FB GND
C2
220F
ZXSC100
C1
220F
R2
0.033R
R4
30K
Figure 2. ZXSC100 efficiency v output current
Figure 4. ISENSE threshold ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
14
ZXSC100
Shown in Figure 5. is the discontinuous inductor current. The ramp-up current stores energy in the inductor. The switching transistor,Q1, is on during this time and has an equivalent current ramp-up, shown in Figure 6. The ramp-down current is associated with the energy being delivered to the output via the Schottky diode, D1. The diode current is equivalent to this ramp-down current and is shown in figure 7. Figure 7. Diode current (200mA/div)
Figure 5. Inductor current (200mA/div)
Figure 6. Transistor current (200mA/div)
ISSUE 3 - JANUARY 2004 15
SEMICONDUCTORS
ZXSC100
Output voltage ripple Output voltage ripple is shown in Figure 8. The circuit is operated with a 1.2V input voltage, 3.3V output voltage and 100mA load current. Output voltage ripple will be dependent, to a large extent, on the output capacitor ESR. (see Applications section for recommended capacitors).
Figure 8. Output voltage ripple for 3.3V/100mA output. Transient response Transient response to step changes in load is a critical feature in many converter circuits. The ZXSC100 operates a pulse by pulse regulation scheme and therefore corrects for changes in the output every pulse cycle, giving excellent response characteristic.
Measurement with a power supply When measuring with a power supply it is important to realise that the impedance is much greater than that of a secondary battery (NiCd or NiMH). To simulate the lower impedance of the battery x10 low ESR 1000uF capacitors where placed in parallel at the input of the c o n v e r t er . A l l t he dyna m i c per f o r m a n ce measurements were taken using this technique.
ISSUE 3 - JANUARY 2004
SEMICONDUCTORS
16
CONNECTION DIAGRAMS
ZXSC100
VDRIVE GND FB ISENSE
EM BAS RE VCC
MSOP8
DIM A A1 B C D e e1 E H
1 2 3 4
8 7 6 5
Millimeters MIN 0.91 0.10 0.25 0.13 2.95 MAX 1.11 0.20 0.36 0.18 3.05
Inches MIN 0.036 0.004 0.010 0.005 0.116 MAX 0.044
D
87
65
0.014 0.007 0.120
eX6
1
2
34
H
0.008
E
0.65NOM 0.33NOM 2.95 4.78 3.05 5.03
0.0256NOM 0.0128NOM
A
B C L
0.116 0.188
0.120 0.198
A1
SO8
DIM A B C D E F G J Millimeters MIN 4.80 MAX 4.98 Inches MIN 0.189 MAX 0.196
1.27 BSC 0.53 REF 0.36 3.81 1.35 0.10 5.80 0.46 3.99 1.75 0.25 6.20
0.05 BSC 0.02 REF 0.014 0.15 0.05 0.004 0.23 0.018 0.157 0.07 0.010 0.24
(c) Zetex plc 2004
Europe Zetex GmbH Streitfeldstrae 19 D-81673 Munchen Germany Telefon: (49) 89 45 49 49 0 Fax: (49) 89 45 49 49 49 europe.sales@zetex.com Americas Zetex Inc 700 Veterans Memorial Hwy Hauppauge, NY 11788 USA Telephone: (1) 631 360 2222 Fax: (1) 631 360 8222 usa.sales@zetex.com Asia Pacific Zetex (Asia) Ltd 3701-04 Metroplaza Tower 1 Hing Fong Road, Kwai Fong Hong Kong Telephone: (852) 26100 611 Fax: (852) 24250 494 asia.sales@zetex.com Corporate Headquaters Zetex plc Fields New Road, Chadderton Oldham, OL9 8NP United Kingdom Telephone (44) 161 622 4444 Fax: (44) 161 622 4446 hq@zetex.com
These offices are supported by agents and distributors in major countries world-wide. This publication is issued to provide outline information only which (unless agreed by the Company in writing) may not be used, applied or reproduced for any purpose or form part of any order or contract or be regarded as a representation relating to the products or services concerned. The Company reserves the right to alter without notice the specification, design, price or conditions of supply of any product or service. For the latest product information, log on to
www.zetex.com
ISSUE 3 - JANUARY 2004 17
SEMICONDUCTORS


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