TM MP2354 2A, 23V, 380KHz Step-Down Converter The Future of Analog IC Technology TM DESCRIPTION FEATURES The MP2354 is a monolithic step down switch mode converter with a built in internal power MOSFET. It achieves 2A continuous output current over a wide input supply range with excellent load and line regulation. • • Current mode operation provides fast transient response and eases loop stabilization. Fault condition protection includes cycle-by-cycle current limiting and thermal shutdown. In shutdown mode the regulator draws 20µA of supply current. EVALUATION BOARD REFERENCE Board Number Dimensions EV2354DS-00A 2.3”X x 1.4”Y x 0.5”Z • • • • • • • • • • 0.18Ω Internal Power MOSFET Switch Stable with Low ESR Output Ceramic Capacitors Up to 95% Efficiency 2A Output Current Wide 4.75V to 23V Operating Input Range Fixed 380KHz Frequency Thermal Shutdown Cycle-by-Cycle Over Current Protection Programmable Under Voltage Lockout Frequency Synchronization Input Operating Temperature: –40°C to +85°C Available in an 8-Pin SO Package APPLICATIONS • • • Distributed Power Systems Battery Chargers Pre-Regulator for Linear Regulators “MPS” and “The Future of Analog IC Technology” are Trademarks of Monolithic Power Systems, Inc. TYPICAL APPLICATION Efficiency vs Output Current INPUT 4.75V to 23V OPEN IF NOT USED 8 1 3 2 VIN RUN BST LX MP2354 SYNC GND 5 FB 90 4 6 B230A OUTPUT 3.3V / 2A COMP 7 3.3nF EFFICIENCY (%) OPEN AUTOMATIC STARTUP 95 10nF 5.0V 3.3V 85 2.5V 80 75 70 65 60 MP2354_TAC_S01 0 0.5 1.0 1.5 2.0 2.5 OUTPUT CURRENT (A) MP2354_TAC_EC01 MP2354 Rev. 1.4 1/6/2006 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 1 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER ABSOLUTE MAXIMUM RATINGS (1) PACKAGE REFERENCE TOP VIEW SYNC 1 8 RUN BST 2 7 COMP VIN 3 6 FB LX 4 5 GND Supply Voltage (VIN) .................................... 25V Switch Voltage (VLX) ....................... –1V to +26V Bootstrap Voltage (VBST)....................... VLX + 6V Feedback Voltage (VFB) ................... –0.3 to +6V Enable/UVLO Voltage (VRUN)........... –0.3 to +6V Comp Voltage (VCOMP) ..................... –0.3 to +6V Sync Voltage (VSYNC) ....................... –0.3 to +6V Junction Temperature...............................150°C Lead Temperature ....................................260°C Storage Temperature ..............–65°C to +150°C Recommended Operating Conditions (2) Input Voltage (VIN) ......................... 4.75V to 23V Operating Temperature .............–40°C to +85°C MP2354_PD01-SOIC8 Thermal Resistance (3) θJA θJC SOIC8.................................... 105 ..... 50... °C/W Part Number* Package Temperature MP2354DS SOIC8 –40°C to +85°C * For Tape & Reel, add suffix –Z (eg. MP2354DS–Z) For Lead Free, add suffix –LF (eg. MP2354DS–LF–Z) Notes: 1) Exceeding these ratings may damage the device. 2) The device is not guaranteed to function outside of its operating conditions. 3) Measured on approximately 1” square of 1 oz copper. ELECTRICAL CHARACTERISTICS VIN = 12V, TA = +25°C, unless otherwise noted. Parameter Feedback Voltage Symbol Condition VFB Upper Switch On Resistance RDS(ON)1 Lower Switch On Resistance RDS(ON)2 Upper Switch Leakage Current Limit (4) Current Sense Transconductance GCS Output Current to Comp Pin Voltage Error Amplifier Voltage Gain AVEA Error Amplifier GEA Transconductance Oscillator Frequency fS Short Circuit Frequency Sync Frequency Maximum Duty Cycle DMAX Minimum Duty Cycle DMIN MP2354 Rev. 1.4 1/6/2006 4.75V ≤ VIN ≤ 23V Min Typ Max Units 1.198 1.222 1.246 V 2.7 0.18 10 0 3.4 VRUN = 0V, VLX = 0V ∆IC = ±10µA VFB = 0V Sync Drive 0V to 2.7V VFB = 1.0V VFB = 1.5V 10 Ω Ω µA A 1.95 A/V 400 V/V 500 700 1000 µA/V 342 380 35 418 KHz KHz KHz % % 445 600 90 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 0 2 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER ELECTRICAL CHARACTERISTICS (continued) VIN = 12V, TA = +25°C, unless otherwise noted. Parameter RUN Shutdown Threshold RUN Pull Up Current EN UVLO Threshold Rising EN UVLO Threshold Hysteresis Symbol Condition ICC > 100µA VRUN = 0V VEN Rising Min 0.7 1.0 2.37 Typ 1.0 1.3 2.5 Max 1.3 Supply Current (Shutdown) VRUN ≤ 0.4V 20 35 µA Supply Current (Quiescent) VRUN ≥ 2.8V, VFB = 1.5V 1.0 1.2 mA 2.62 210 Thermal Shutdown 155 Units V µA V mV °C Note: 4) Equivalent output current = 1.5A ≥ 50% Duty Cycle 2.0A ≤ 50% Duty Cycle Assumes ripple current = 30% of load current. Slope compensation changes current limit above 40% duty cycle. PIN FUNCTIONS Pin # Name 1 SYNC 2 BST 3 VIN 4 LX 5 GND 6 FB 7 COMP 8 RUN MP2354 Rev. 1.4 1/6/2006 Description Synchronization Input. This pin is used to synchronize the internal oscillator frequency to an external source. There is an internal 11kΩ pull down resistor to GND, therefore leave SYNC unconnected if unused. Bootstrap (C5). This capacitor is needed to drive the power switch’s gate above the supply voltage. It is connected between LX and BST pins to form a floating supply across the power switch driver. The voltage across C5 is about 5V and is supplied by the internal +5V supply when the LX pin voltage is low. Supply Voltage. The MP2354 operates from a +4.75V to +23V unregulated input. C1 is needed to prevent large voltage spikes from appearing at the input. Switch. This connects the inductor to either VIN through M1 or to GND through M2. Ground. This pin is the voltage reference for the regulated output voltage. For this reason care must be taken in its layout. This node should be placed outside of the D1 to C1 ground path to prevent switching current spikes from inducing voltage noise into the part. Feedback. An external resistor divider from the output to GND, tapped to the FB pin sets the output voltage. To prevent current limit run away during a short circuit fault condition the frequency foldback comparator lowers the oscillator frequency when the FB voltage is below 700mV. Compensation. This node is the output of the transconductance error amplifier and the input to the current comparator. Frequency compensation is done at this node by connecting a series R-C to ground. See the Compensation section for exact details. Enable/UVLO. A voltage greater than 2.62V enables operation. Leave RUN unconnected for automatic startup. An Under Voltage Lockout (UVLO) function can be implemented by the addition of a resistor divider from VIN to GND. For complete low current shutdown it’s the RUN pin voltage needs to be less than 700mV. www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 3 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER TYPICAL PERFORMANCE CHARACTERISTICS Circuit of Figure 2, VIN = 12V, VO = 3.3V, L1 = 15µH, C1 = 10µF, C2 = 22µF, TA = +25°C, unless otherwise noted. Heavy Load Operation Light Load Operation 2A Load No Load VO, AC 50mV/div. VO, AC 20mV/div. VIN, AC 200mV/div. VIN, AC 20mV/div. IL 1A/div. IL 1A/div. VLX 10V/div. VLX 10V/div. MP2354-TPC01 MP2354-TPC02 Startup from Shutdown Load Transient 2A Resistive Load VRUN 2V/div. VO, AC 200mV/div. VOUT 1V/div. IL 1A/div. ILOAD 1A/div. IL 1A/div. MP2354-TPC03 MP2354-TPC04 Short Circuit Protection Short Circuit Recovery VOUT 2V/div. VOUT 2V/div. IL 1A/div. IL 1A/div. MP2354-TPC05 MP2354 Rev. 1.4 1/6/2006 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. MP2354-TPC06 4 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER OPERATION MP2354 reverts to its initial M1 off, M2 on state. If the Current Sense Amplifier plus Slope Compensation signal does not exceed the COMP voltage, then the falling edge of the CLK resets the Flip-Flop. The MP2354 is a current mode regulator. The COMP pin voltage is proportional to the peak inductor current. At the beginning of a cycle: the upper transistor M1 is off; the lower transistor M2 is on (refer to Figure 1), the COMP pin voltage is higher than the current sense amplifier output; and the current comparator’s output is low. The rising edge of the 380KHz CLK signal sets the RS Flip-Flop. Its output turns off M2 and turns on M1 thus connecting the SW pin and inductor to the input supply. The increasing inductor current is sensed and amplified by the Current Sense Amplifier. Ramp compensation is summed to Current Sense Amplifier output and compared to the Error Amplifier output by the Current Comparator. When the Current Sense Amplifier plus Slope Compensation signal exceeds the COMP pin voltage, the RS Flip-Flop is reset and the The output of the Error Amplifier integrates the voltage difference between the feedback and the 1.23V bandgap reference. The polarity is such that an FB pin voltage lower than 1.222V increases the COMP pin voltage. Since the COMP pin voltage is proportional to the peak inductor current an increase in its voltage increases current delivered to the output. The lower 10Ω switch ensures that the bootstrap capacitor voltage is charged during light load conditions. External Schottky Diode D1 carries the inductor current when M1 is off. VIN 3 CURRENT SENSE AMPLIFIER INTERNAL REGULATORS OSCILLATOR SYNC 1 35/380kHz + 0.7V -- RUN 8 -2.50V/ 2.29V + FREQUENCY FOLDBACK COMPARATOR + SLOPE COMP 5V -- CLK + SHUTDOWN COMPARATOR -- S Q R Q CURRENT COMPARATOR 2 BST 4 LX 5 GND LOCKOUT COMPARATOR 1.8V -- + -- 0.7V 1.22V 6 FB + ERROR AMPLIFIER 7 COMP MP2354_BD01 Figure 1—Functional Block Diagram MP2354 Rev. 1.4 1/6/2006 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 5 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER APPLICATION INFORMATION C5 10nF INPUT 4.75V to 23V OPEN AUTOMATIC STARTUP OPEN IF NOT USED 8 1 3 2 VIN BST 4 LX RUN MP2354 SYNC FB GND 5 D1 B230A COMP 7 C6 OPEN 6 OUTPUT 2.5V / 2A C3 3.3nF MP2354_TAC_F02 Figure 2—Typical Application Circuit Sync Pin Operation Inductor The SYNC pin driving waveform should be a The inductor is required to supply constant square wave with a rise time less than 20ns. current to the output load while being driven by Minimum High voltage level is 2.7V. Low level the switched input voltage. A larger value is less than 0.8V. The frequency of the external inductor will result in less ripple current that will sync signal needs to be greater than 445KHz. result in lower output ripple voltage. However, the larger value inductor will have a larger A rising edge on the SYNC pin forces a reset of physical size, higher series resistance, and/or the oscillator. The upper transistor M1 is lower saturation current. A good rule for switched off immediately if it is not already off. determining the inductance to use is to allow 250ns later M1 turns on connecting LX to VIN. the peak-to-peak ripple current in the inductor Setting the Output Voltage to be approximately 30% of the maximum The output voltage is set using a resistive switch current limit. Also, make sure that the voltage divider from the output to FB (see peak inductor current is below the maximum Figure 2). The voltage divider divides the output switch current limit. The inductance value can voltage down by the ratio: be calculated by: VFB = VOUT × R2 R1 + R2 Where VFB is the feedback voltage and VOUT is the output voltage. Thus the output voltage is: VOUT = 1.23 × (R1 + R2) R2 R2 can be as high as 100kΩ, but a typical value is 10kΩ. Using that value, R1 is determined by: R1 = 8.18 × (VOUT − 1.23 )(kΩ ) For example, for a 3.3V output voltage, R2 is 10kΩ, and R1 is 17kΩ. MP2354 Rev. 1.4 1/6/2006 L= ⎛ ⎞ VOUT V × ⎜1 − OUT ⎟⎟ fS × ∆IL ⎜⎝ VIN ⎠ Where VIN is the input voltage, fS is the 380KHz switching frequency, and ∆IL is the peak-topeak inductor ripple current. Choose an inductor that will not saturate under the maximum inductor peak current. The peak inductor current can be calculated by: ILP = ILOAD + ⎛ VOUT V × ⎜⎜1 − OUT 2 × fS × L ⎝ VIN ⎞ ⎟⎟ ⎠ Where ILOAD is the load current. www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 6 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER Table 1 lists a number of suitable inductors from various manufacturers. The choice of which style inductor to use mainly depends on the price vs. size requirements and any EMI requirement. Table 1—Inductor Selection Guide Vendor/ Model Package Dimensions (mm) W L H Core Type Core Material Open Open Shielded Shielded Shielded Shielded Ferrite Ferrite Ferrite Ferrite Ferrite Ferrite 7.0 7.3 5.5 5.5 6.7 10.1 7.8 8.0 5.7 5.7 6.7 10.0 5.5 5.2 5.5 5.5 3.0 3.0 Shielded Ferrite 5.0 5.0 3.0 Shielded Shielded Open Ferrite Ferrite Ferrite 7.6 10.0 9.7 7.6 10.0 1.5 5.1 4.3 4.0 Open Open Ferrite Ferrite 9.4 9.4 13.0 13.0 3.0 5.1 Sumida CR75 CDH74 CDRH5D28 CDRH5D28 CDRH6D28 CDRH104R Toko D53LC Type A D75C D104C D10FL For simplification, choose the input capacitor whose RMS current rating greater than half of the maximum load current. The input capacitor can be electrolytic, tantalum or ceramic. When using electrolytic or tantalum capacitors, a small, high quality ceramic capacitor, i.e. 0.1µF, should be placed as close to the IC as possible. When using ceramic capacitors, make sure that they have enough capacitance to provide sufficient charge to prevent excessive voltage ripple at input. The input voltage ripple caused by capacitance can be estimated by: ∆VIN = Input Capacitor The input current to the step-down converter is discontinuous, therefore a capacitor is required to supply the AC current to the step-down converter while maintaining the DC input voltage. Use low ESR capacitors for the best performance. Ceramic capacitors are preferred, but tantalum or low-ESR electrolytic capacitors may also suffice. Choose X5R or X7R dielectrics when using ceramic capacitors. Since the input capacitor (C1) absorbs the input switching current it requires an adequate ripple current rating. The RMS current in the input capacitor can be estimated by: I C1 = ILOAD ⎛ ⎞ V V × OUT ×⎜⎜1− OUT ⎟⎟ VIN ⎝ VIN ⎠ The worst-case condition occurs where: I C1 MP2354 Rev. 1.4 1/6/2006 I = LOAD 2 ⎞ ⎟⎟ ⎠ Output Capacitor The output capacitor is required to maintain the DC output voltage. Ceramic, tantalum, or low ESR electrolytic capacitors are recommended. Low ESR capacitors are preferred to keep the output voltage ripple low. The output voltage ripple can be estimated by: Coilcraft DO3308 DO3316 ⎛ ILOAD V V × OUT × ⎜1 − OUT fS × C1 VIN ⎜⎝ VIN ∆VOUT = VOUT ⎛ V × ⎜⎜1 − OUT fS × L ⎝ VIN ⎞ ⎞ ⎛ 1 ⎟ ⎟⎟ × ⎜ R ESR + ⎜ 8 × f S × C2 ⎟⎠ ⎠ ⎝ Where L is the inductor value, C2 is the output capacitance value and RESR is the equivalent series resistance (ESR) value of the output capacitor. In the case of ceramic capacitors, the impedance at the switching frequency is dominated by the capacitance. The output voltage ripple is mainly caused by the capacitance. For simplification, the output voltage ripple can be estimated by: ∆VOUT = ⎛ V × ⎜⎜1 − OUT VIN × L × C2 ⎝ VOUT 8 × fS 2 ⎞ ⎟⎟ ⎠ In the case of tantalum or electrolytic capacitors, the ESR dominates the impedance at the switching frequency. For simplification, the output ripple can be approximated to: ∆VOUT = VOUT ⎛ V ⎞ × ⎜1 − OUT ⎟⎟ × R ESR f S × L ⎜⎝ VIN ⎠ The characteristics of the output capacitor also affect the stability of the regulation system. The www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 7 MP2354 can be optimized for a wide range of capacitance and ESR values. The DC gain of the voltage feedback loop is given by: A VDC = R LOAD × G CS × A VEA × VFB VOUT Where AVEA is the error amplifier voltage gain, 400V/V; GCS is the current sense transconductance, 1.95A/V; RLOAD is the load resistor value. Choose a diode whose maximum reverse voltage rating is greater than the maximum input voltage, and whose current rating is greater than the maximum load current. The system has two poles of importance. One is due to the compensation capacitor (C3) and the output resistor of error amplifier, and the other is due to the output capacitor and the load resistor. These poles are located at: M IN PS D TE CO O R N NA NF O I L D T D US EN IS T E I T R ON AL IB L U Y T E Output Rectifier Diode The output rectifier diode supplies the current to the inductor when the upper transistor M1 is off. Use a Schottky diode to reduce losses due to the diode forward voltage and recovery times. Table 2 provides the Schottky diode part numbers based on the maximum input voltage and current rating. Table 2—Schottky Rectifier Selection Guide VIN (Max) 15V 20V 26V 2A Load Current Part Number Vendor (5) 30BQ015 4 B220 1 SK23 6 SR22 6 20BQ030 4 B230 1 SK23 6 SR23 3, 6 SS23 2, 3 Note: 5) Refer to Table 3 for Rectifier Manufacturers Table 3—Schottky Diode Manufacturers # 1 2 3 4 5 6 Vendor Diodes, Inc. Fairchild Semiconductor General Semiconductor International Rectifier On Semiconductor Pan Jit International Web Site www.diodes.com www.fairchildsemi.com www.gensemi.com www.irf.com www.onsemi.com www.panjit.com.tw Compensation MP2354 employs current mode control for easy compensation and fast transient response. The system stability and transient response are controlled through the COMP pin. COMP pin is the output of the internal transconductance error amplifier. A series capacitor-resistor combination sets a pole-zero combination to control the characteristics of the control system. fP1 = GEA 2π × C3 × A VEA fP2 = 1 2π × C2 × R LOAD Where GEA is the transconductance, 770µA/V. error amplifier The system has one zero of importance, due to the compensation capacitor (C3) and the compensation resistor (R3). This zero is located at: f Z1 = 1 2π × C3 × R3 Smaller fZ1 provides more phase margin, but longer transient settling time. A trade-off has to be made between the stability and the transient response. A typical value is less than one-fourth of the crossover frequency. The system may have another zero of importance, if the output capacitor has a large capacitance and/or a high ESR value. The zero, due to the ESR and capacitance of the output capacitor, is located at: fESR = 1 2π × C2 × R ESR TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER In this case, a third pole set by compensation capacitor (C6) and compensation resistor (R3) is used compensate the effect of the ESR zero on loop gain. This pole is located at: f P3 = the the to the 1 2π × C6 × R3 The goal of compensation design is to shape the converter transfer function to get a desired loop gain. The system crossover frequency where the feedback loop has the unity gain is important. Lower crossover frequencies result in slower line and load transient responses, while higher crossover frequencies could cause system unstable. A good rule of thumb is to set the crossover frequency to approximately onetenth of the switching frequency. Switching frequency for the MP2354 is 380KHz, so the desired crossover frequency is around 38KHz. Table 4 lists the typical values of compensation components for some standard output voltages with various output capacitors and inductors. The values of the compensation components have been optimized for fast transient responses and good stability at given conditions. Table 4—Compensation Values for Typical Output Voltage/Capacitor Combinations VOUT L1 C2 R3 C3 C6 2.5V 10µH min. 22µF Ceramic 5.6kΩ 4.7nF None 3.3V 15µH min. 22µF Ceramic 7.5kΩ 3.3nF None 5V 15µH min. 22µF Ceramic 11kΩ 2.2nF None 12V 22µH min. 22µF Ceramic 27kΩ 1nF None 2.5V 10µH min. 560µF Al. 30mΩ ESR 140kΩ 1nF 120pF 3.3V 15µH min. 560µF Al 30mΩ ESR 187kΩ 1nF 82pF 5V 15µH min. 470µF Al. 30mΩ ESR 237kΩ 1nF 56pF 12V 22µH min. 220µF Al. 30mΩ ESR 267kΩ 1nF 22pF MP2354 Rev. 1.4 1/6/2006 To optimize the compensation components for conditions not listed in Table 4, the following procedure can be used. 1) Choose the compensation resistor (R3) to set the desired crossover frequency. Determine the R3 value by the following equation: R3 = 2π × C2 × f C VOUT × G EA × G CS VFB 2) Choose the compensation capacitor (C3) to achieve the desired phase margin. For applications with typical inductor values, setting the compensation zero, fZ1, to less than one forth of the crossover frequency provides sufficient phase margin. Determine the C3 value by the following equation: C3 > 4 2π × R3 × f C Where R3 is the compensation resistor value. 3) Determine if the second compensation capacitor (C6) is required. It is required if the ESR zero of the output capacitor is located at less than half of the 380KHz switching frequency, or the following relationship is valid: f 1 < S π × × 2 C2 R ESR 2 If this is the case, then add the second compensation capacitor (C6) to set the pole fP3 at the location of the ESR zero. Determine the C6 value by the equation: C6 = C2 × RESR R3 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 9 TM MP2354 – 2A, 23V, 380KHz STEP-DOWN CONVERTER 5V External Bootstrap Diode It is recommended that an external bootstrap diode be added when the system has a 5V fixed input or the power supply generates a 5V output. This helps improve the efficiency of the regulator. The bootstrap diode can be a low cost one such as IN4148 or BAT54. BS 10nF MP2354 SW MP2354_F03 Figure 3—External Bootstrap Diode This diode is also recommended for high duty cycle operation (when VOUT >65%) and high VIN output voltage (VOUT>12V) applications. PACKAGE INFORMATION SOIC8 PIN 1 IDENT. 0.229(5.820) 0.244(6.200) 0.0075(0.191) 0.0098(0.249) 0.150(3.810) 0.157(4.000) SEE DETAIL "A" 0.011(0.280) x 45o 0.020(0.508) 0.013(0.330) 0.020(0.508) 0.050(1.270)BSC 0.189(4.800) 0.197(5.004) 0.053(1.350) 0.068(1.730) 0o-8o 0.049(1.250) 0.060(1.524) 0.016(0.410) 0.050(1.270) DETAIL "A" SEATING PLANE 0.001(0.030) 0.004(0.101) NOTE: 1) Control dimension is in inches. Dimension in bracket is millimeters. NOTICE: The information in this document is subject to change without notice. Please contact MPS for current specifications. Users should warrant and guarantee that third party Intellectual Property rights are not infringed upon when integrating MPS products into any application. MPS will not assume any legal responsibility for any said applications. MP2354 Rev. 1.4 1/6/2006 www.MonolithicPower.com MPS Proprietary Information. Unauthorized Photocopy and Duplication Prohibited. © 2006 MPS. All Rights Reserved. 10