# Sensing Elements for Current Measurements

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 Introduction Sensing Elements for Current Measurements The fundamentals to translating the analog world into the digital domain reduces to a handful of basic parameters. Voltage, current and frequency are electrical parameters that describe most of the analog world. Current measurements are used to monitor many different parameters, with one of them being power to a load. There are many choices of sensing elements to measure current to a load, and the choices of current sensing elements can be sorted by applications, as well as the magnitude of the current measured. This indepth write up discusses three different types of current sensing elements. First, we ll focus on evaluating current measurements using a shunt (sense) resistor. We ll explain how to choose a sense resistor and discuss the inaccuracies associated with the sensing element and extraneous parameters that compromise the overall measurement. Then, we ll evaluate a direct current resistance (DCR) sensing architecture that allows for lossless current sense in some power applications. We ll explain how to design a DCR circuit for power applications, analyze the drawbacks of the architecture and provide a way to improve the current measurement technique through calibration. Finally, we ll cover measuring current by way of a Hall Effect sensor, explain how a Hall Effect sensor works and discuss the drawbacks of the technology and recent improvements in the technology. Element 1: Shunt Resistor Shunt resistors are the most versatile and cost effective means to measure current. A shunt resistor cost ranges from a few pennies to several dollars its price is differentiated by value, temperature coefficient, power rating and size. Shunt resistors commonly increase in cost for lower temperature coefficient (TC) and for higher power rating, while offering precision features in a small package size. Figure 1. Picture of a Shunt (Sense) Resistor With the knowledge of Ohm s law and the magnitude of the current to be measured, a shunt resistor can be designed into many applications. The simplicity of the design in process makes a resistor a versatile current sensing element. 1 Intersil

2 In choosing a sense resistor value, the full scale voltage drop across the sense resistor and the maximum expected current measured for the application has to be known. When possible, the voltage across the sense resistor should be kept to a minimum to lower the power dissipated by the sensing element. Low power dissipated by the sense resistor limits the heating of the resistor. A small temperature change to the sensor resistor results in a smaller resistance change versus all current sensing values. The stability and accuracy of the sense resistor versus all currents improves with a constant value shunt resistor. For most current sensing applications, the minimum and maximum measurable currents are known. The designer chooses the allowable voltage drop across the shunt resistor. For this discussion, assume the current measured is bidirectional. The max shunt voltage is chosen as ±80mV. Assume the max measured current is ±100A. The shunt (sense) resistor value is calculated using Equation 1. R sense V shunt_max Imeas Max Equation 1. Using Ohm's Law to Calculate the Shunt Resistor Value For this example, the shunt resistor, Rsense, is calculated to equal 0.8mΩ. Table 1 is a list of other calculated shunt resistor values for a series of full scale current values. Table 1. Shunt Resistor Values and Minimum Power Rating for Several Full Scale Currents Rshunt/Prating ImeasMax Vshuntmax = 80mV 100µA 800Ω/8µW 1mA 80Ω/80µW 10mA 8Ω/800µW 100mA 800mΩ/8mW 500mA 160mΩ/40mW 1A 80mΩ/80mW 5A 16mΩ/400mW 10A 8mΩ/800mW 50A 1.6mΩ/4W 100A 0.8mΩ/8mW 500A 0.16mΩ/40W The minimum power rating for the sense resistor is calculated in Equation 2. P res_rating V shunt_max Imeas Max Equation 2. The Minimum Power Rating Calculation of the Sense Resistor The minimum power rating of sense resistor is calculated as 8W for the example. A general rule of thumb is to multiply the power rating calculated using Equation 2 by 2. This allows the sense resistor to survive an event when the current passing through the shunt resistor is greater than the measurable maximum current. The higher the ratio between the power rating of the chosen sense resistor and the calculated power rating of the system, the less the resistor heats up in high current applications. 2 Intersil

3 The temperature coefficient (TC) of the sense resistor directly degrades the current measurement accuracy. The surrounding temperature of the sense resistor and the power dissipated by the resistor results in a sense resistor value change. The change in resistor temperature with respect to the amount of current that flows through the resistor is directly proportional to the ratio of the power rating of the resistor versus the power being dissipated. A change in sense resistor temperature results in a change in sense resistor value resulting in a change in measurement accuracy for the system. The change in a resistor value due to a temperature rise is calculated using Equation 3. R sense R sense Rsense TC Temperature Equation 3. The Equation to Calculate the Resistance Change When Temperature Changes ΔTemperature is the change in temperature in Celsius. RsenseTC is the temperature coefficient rating for a sense resistor. Rsense is the resistance value of the sense resistor at the initial temperature. The change in the sensing element resistance is directly proportional to the current passing through resistor. The package size of the sense resistor determines the sensing element ability to counter temperature rise due to the power being dissipated by the resistor. The thermal resistance of the sensing elements package, Θja, should be considered when choosing a sensing resistor. Θja is the primary thermal resistive parameter to consider in determining the temperature rise in a resistor. Θja is the thermal resistance between the resistor and the temperature outside the resistor. Table 2 lists the thermal resistances of common surface mount packages. Table 2. Thermal Resistance of Surface Mount Resistors Referenced from Vishay Application Notes and Resistor Size Thermal Resistance, Θja (ΔC/W) Table 2 validates the intuitive conclusion that there is a greater temperature rise in smaller packages resulting in a larger resistance changes. A 0.8mΩ sense resistor with 50A through it dissipates 2W. The resistance change is calculated using Equation 4. Temperature θ ja I 2 R sense Equation 4. Relates the Current Flow through a Sense Resistor to the Temperature Change of a Resistor In Equation 4, I 2 * Rsense is the power dissipated by the shunt resistor. Θja is the thermal resistance of the sense resistor chosen. Assuming a 2512 is the sense resistor s package, the change in temperature of the 3 Intersil

4 resistor is calculated as 50C. Assume the RsenseTC is 100ppm/C. The change in resistance, using Equation 3, is calculated as 4µΩ. 4µΩ does not seem like a sizable change in resistance. To interpret the number a different way, compare the resistance change to the overall resistance value. 50A of current changes the resistor by 0.5% from nominal, resulting in a 0.5% current measurement error due to the change in shunt resistance. Figure 2 plots current measurement error due to resistor self-heating. Smaller packages have less material to prevent the resistor from self-heating, and therefore have lower power dissipation limits. A method of increasing the power rating of a resistor while preserving a small footprint is to choose a wide package. The thermal resistance of a 0406 package roughly equals the thermal resistance of a 1206 package. Meas Error (%) Rsense = TC = 100ppm/C Pkg: 1206 Pkg: 2516 Pkg: Current (A) Figure 2. A Plot of Current Measurement Error Caused by Resistor Self-Heating It is often hard to readily purchase shunt resistor values for a desired current. Either the value of the shunt resistor does not exist or the power rating of the shunt resistor is too low. A means of circumventing the problem is to use two or more shunt resistors in parallel to set the desired current measurement range. Assume that a 0.8mΩ shunt resistor with an 8W power rating is not readily available. Assume the power ratings and the shunt resistor values available for design are 1mΩ/4W, 2mΩ/4W and 4mΩ/4W. Let s use a 1mΩ and a 4mΩ resistor in parallel to create the shunt resistor value of 0.8mΩ. Figure 3 shows an illustration of the shunt resistors in parallel Figure 3. A Simplified Schematic Illustrating the Use of Two Shunt Resistors to Create a Desired Shunt Value The power to each shunt resistor should be calculated before calling a solution complete. The power to each shunt resistor is calculated using Equation 5. P shuntres V shunt_max 2 R sense Equation 5. Power Equation through a Resistor 4 Intersil

5 The power dissipated by the 1mΩ resistor is 6.4W. 1.6W is dissipated by the 4mΩ resistor. 1.6W exceeds the rating limit of 1W for the 1mΩ sense resistor. Another approach would is use three shunt resistors in parallel as illustrated in Figure Figure 4. Increasing the Number of Shunt Resistors in Parallel to Create a Shunt Resistor Value Reduces the Power Dissipated by Each Shunt Resistor Using Equation 5, the power dissipated to each shunt resistor yields 3.2W for the each 2mΩ shunt resistor and 1.6W for the 4mΩ shunt resistor. All shunt resistors are within the specified power ratings. Layout The layout of a current measuring system is equally important as choosing the correct sense resistor and the correct analog converter. Poor layout techniques could result in severed traces, signal path oscillations, magnetic contamination which all contribute to poor system performance. Trace Width Matching the current carrying density of a copper trace with the maximum current that passes through is critical in the performance of the system. Neglecting the current carrying capability of a trace results in a large temperature rise in the trace, and a loss in system efficiency due to the increase in resistance of the copper trace. In extreme cases, the copper trace could be severed because the trace could not pass the current. The current carrying capability of a trace is calculated using Equation 6. Trace width Imax k T Trace Thickness Equation 6. The Minimum PCB Trace Width for Currents That Pass Through the Trace Imax is the largest current expected to pass through the trace. ΔT is the allowable temperature rise in Celsius when the maximum current passes through the trace. TraceThickness is the thickness of the trace specified to the PCB fabricator in mils. A typical thickness for general current carrying applications (<100mA) is 0.5oz copper or 0.7mils. For larger currents, the trace thickness should be greater than 1.0oz or 1.4mils. A balance between thickness, width and cost needs to be achieved for each design. The coefficient k in Equation 6 changes depending on the trace location. For external traces, the value of k equals while for internal traces the value of k reduces to The k values and Equation 6 are stated per the ANSI IPC- 2221(A) standards. Trace Routing It is always advised to make the distance between voltage source, sense resistor and load as close as possible. The longer the trace length between components will result in voltage drops between components. The additional resistance reduces the efficiency of a system. 5 Intersil

6 The bulk resistance, ρ, of copper is 0.67µΩ/in or 1.7µΩ/cm at +25 C. The resistance of trace can be calculated from Equation 7. R trace ρ Trace length Trace width Trace thickness Equation 7. Trace Resistance Calculation Figure 5 illustrates each dimension of a trace. Trace Thickness Trace Width Figure 5. Illustration of the Trace Dimensions for a Strip Line Trace For example, assume a trace has 2oz of copper or 2.8mil thickness, a width of 100mil and a length of 0.5in. Using Equation 7, the resistance of the trace is approximately 2mΩ. Assume 1A of current is passing through the trace. A 2mV voltage drop results from trace routing. Current flowing through a conductor takes the path of least resistance. When routing a trace, avoid orthogonal connections for current bearing traces. Current Flow Figure 6. Avoid Routing Orthogonal Connections for Traces That Have High Magnitude through Currents Orthogonal routing for high current flow traces could result in current crowding, localized heating of the trace and a change in trace resistance. Current Flow Figure 7. Use Arcs and 45 Degree Traces to Safely Route Traces with Large Current Flows 6 Intersil

7 The utilization of either arcs or 45 degree traces in routing large current flow traces will maintain uniform current flow throughout the trace. Figure 7 illustrates the routing technique. Connecting Sense Traces to the Current Sense Resistor Ideally, a four terminal current sense resistor would be used as the sensing element. Four terminal sensor resistors can be hard to find for specific values and sizes. Often a two terminal sense resistor is designed into the application. Sense lines are high impedance by definition. The connection point of a high impedance line reflects the voltage at the intersection of a current bearing trace and a high impedance trace. The high impedance trace should connect at the intersection where the sense resistor meets the landing pad on the PCB. The best place to make a current sense line connection is on the inner side of the sense resistor footprint. The illustration of the connection is shown in Figure 8. Most of the current flow is at the outer edge of the footprint. The current ceases at the point the sense resistor connects to the landing pad. Assume the sense resistor connects at the middle of the each landing pad. This leaves the inner half of the each landing pad with little current flow. With little current flow, the inner half of each landing pad is classified as high impedance and perfect for a sense connection. Current Bearing Trace Landing Pad Sense Trace Sense Resistor Landing Pad Sense Trace Current Bearing Trace Figure 8. Connecting the Sense Lines to a Current Sense Resistor Current sense resistors are often smaller than the width of the traces that connect to the footprint. The trace connecting to the footprint is tapered at a 45 degree angle to control the uniformity of the current flow. Magnetic Interference The magnetic field generated from a trace is directly proportional to the current passing through the trace and the distance from the trace the field is being measured at. Figure 9 illustrates the direction the magnetic field flows versus current flow. 7 Intersil

8 B µ o I 2 π r Figure 9. The Conductor on the Left Shows the Magnetic Field Flowing in a Clockwise Direction for Currents Flowing into the Page; Current Flowing Out of the Page Has a Counter Clockwise Magnetic Flow The equation in Figure 9 determines the magnetic field, B, the trace generates in relation to the current passing through the trace, I, and the distance the magnetic field is being measured from the conductor, r. The permeability of air, μo, is 4π *10-7 H/m. When routing high current traces, avoid routing high impedance traces in parallel with high current bearing traces. A means of limiting the magnetic interference from high current traces is to closely route the paths connected to and from the sense resistor. The magnetic field cancels outside the two traces and adds between the two traces. Figure 10 illustrates a magnetic field insensitive layout. If possible, do not cross traces with high current. If a trace crossing cannot be avoided, cross the trace in an orthogonal manor and the furthest layer from the current bearing trace. The inference from the current bearing trace will be limited. To sense circuitry Sense Resistor Current Flow Current Flow Figure 10. Closely Routed Traces That Connect to the Sense Resistor Reduces the Magnetic Interference Sourced from the Current Flowing through the Traces Shunt Resistor Summary Using a sense resistor to measure current is straight forward as long as proper care is taken with respect to layout and in choosing a sense resistor. The power rating and temperature coefficient parameters of a sense resistor are critical for designing a high accuracy current measurement system. With the knowledge of Ohm s law, sense resistors are easy to design with. A drawback of the technology is that a sense resistor consumes power which eats into voltage headroom and lowers the efficiency of some applications. 8 Intersil

9 Element 2: Direct Current Resistance DCR circuits are commonly used in low supply voltage applications where the voltage drop of a sense resistor is a significant percentage of the supply voltage being sourced to the load. A low supply voltage is often defined as any regulated voltage lower than 1.5V. Buck Regulator Phase DCR Circuit Rsen Lo Csen Rdcr VINP Rsen + Rdcr VINM ADC 16-Bit FB LOAD Figure 11. A Simple Schematic of a DCR Circuit A DCR sense circuit is an alternative to a sense resistor. The DCR circuit utilizes the parasitic resistance of an inductor to measure the current to the load. A DCR circuit remotely measures the current through an energy storing inductor of a switching regulator circuit. The lack of components in series with the regulator to the load makes the circuit lossless. A properly matched DCR circuit has an effective impedance with respect to the ADC that equates to the resistance within the inductor. Figure 11 is a simple schematic of a DCR circuit. Before deriving the transfer function between the inductor current and voltage at the input of the ADC, let s review the definition of an inductor and capacitor in the Laplacian domain. X c ( f) 1 j ω( f) C X L ( f) j ω( f) L Equation 8. The Admittance and Reactance Equations for a Capacitor and Inductor, Respectively Xc is the impedance of a capacitor related to the frequency and XL is the impedance of an inductor related to frequency. ω equals to 2πf. f is the switching frequency dictated by the regulator. Using Ohm s law, the voltage across the DCR circuit in terms of the current flowing through the inductor is defined by Equation 9. ( ) I L V dcr ( f) R dcr + j ω( f) L Equation 9. The Voltage Equation Measured Across the DCR Circuit In Equation 9, Rdcr is the parasitic resistance of the inductor. The voltage drop across the inductor (Lo) and resistor (Rdcr) is the same as the voltage drop across the resistor (Rsen) and capacitor (Csen). Equation 10 defines the voltage across the capacitor (Vcsen) in terms of the inductor current (IL). V c ( F) ( j w( f) L) 1 + ( j ω( f) L + R dcr ) R dcr I L R dcr I L 1 + j ω( f) C sen R sen 1 + j ω( f) C sen R sen Equation 10. The Voltage Equation for the Sense Capacitor 9 Intersil

10 The relationship between the inductor load current (IL) and the voltage across capacitor simplifies if the component selection in Equation 11 is true. L R dcr C sen R sen Equation 11. The Mathematical Relation That Enables the DCR to Work If Equation 11 holds true, the numerator and denominator of the fraction in Equation 10 cancels reducing the voltage across the sense capacitor to the equation represented in Equation 12. V c R dcr I L Equation 12. The Equation for the Voltage across the Capacitor When Equation 11 Holds True Most inductor datasheets specify the average value of the Rdcr for the inductor. Rdcr values are usually sub 1mΩ with a tolerance averaging 10%. Common chip capacitor tolerances average to 10%. Inductors are constructed out of metal. Metal has a high temperature coefficient. The temperature drift of the inductor value and the parasitic resistance (Rdcr) could cause the DCR circuit to be un-balanced. The change in the inductor value and parasitic resistance could be a result of either self-heating due to current passing through the inductor or environmental temperature rise. Copper has a resistive change of 3.9mΩ/C. The change in inductor wire temperature directly impacts the value of Rdcr. To counter the temperature variance, a temperature sensor could be used to monitor the temperature of the inductor. The DCR can be compensated with knowledge change in inductor resistance. In Figure 11, there is a resistor in series with the 16-bit ADC, which could be an ISL28023 digital power monitor, negative shunt terminal (VINM) with the value of Rsen + Rdcr. The resistor s purpose is to counter the effects of offset bias current from creating a voltage offset at the input of the ADC. Assume the circuit in Figure 11 is an ISL85415 buck regulator with a switching frequency of 900kHz. The inductor value is 22µH inductor with a ±20% tolerance. The inductor and the bypass caps complete the buck regulator circuit such that voltage to the load is stable. The Rdcr is inherent to the inductor. The values of the Rdcr for this example is 0.185Ω typical and 0.213Ω maximum. That is roughly a ±13% variance from inductor to inductor. The value of Rsen for the DCR circuit is chosen as 11.8kΩ. Using Equation 11, the capacitance value of the DCR circuit, Csen, equals to 10nF. Assume the tolerance of the capacitor is ±10%. Inductor and capacitor values are not tightly controlled. If a DCR circuit is designed into a system without any additional tuning circuits built in, how do the tolerances of the sense capacitor and inductor effect the current measurement error? 10 Intersil

11 Current Meas Error (%) Cap_val = -10% 20 Cap_val = +5% Cap_val = -5% Cap_val = Nom -30 Cap_val = +10% Inductor Value (%) Figure 12. Capacitor and Inductor Tolerances and Their Effects on the Current Measurement Designing a DCR circuit without tuning capabilities can result in a current measurement error of up to 35% due to the variance of the inductor and capacitor within the DCR circuit. Figure 12 plots measurement error versus different inductor and capacitor tolerance values. The measurement errors could increase to approximately 50% when including the Rdcr variation. A simple trimming circuit utilizing a non-volatile digital potentiometers (DCP) drastically improves the current measurement accuracy. Buck Regulator FB Phase DCR Circuit Rsen Lo Rg Csen Rdcr RF Rsen + Rdcr Rm LOAD Rtest VINP VINM ISL28023? ADC 16-Bit Margin DAC Figure 13. The Current Measurement Can Be Improved By Using A DCP to Tune the Circuit A factory calibration technique to improve the current measurement performance is to apply a known current load in addition to the nominal current load sourced by the regulator. The DCP is trimmed while monitoring the voltage across the sense capacitor (Csen). In many production applications, the circuits are tested for functionality. A common test is to margin the power supplies by ±10% from the nominal supply value to ensure functionality and proper current draw by the load. Rm combined with the feedback circuitry of the regulator enables the voltage to the load to be margined. Without margining, the regulated voltage to the load is represented by Equation 13. V out V ref 1 + R f R g Equation 13. The Regulated Output Equation to the Load (Without Margining) Vref is the reference voltage determined by the voltage regulator. Rf and Rg are the gain resistors that are multipliers to the reference voltage. For example, let s use the ISL85415 as the buck regulator. The ISL85415 has a reference voltage of 0.6V. The desired regulated voltage is 1.0V. Rf is arbitrarily chosen as 11 Intersil

13 Suppose the load draws 100mA nominally from the buck regulator. The output voltage is set to 1.1V and the Rtest resistor value is 100Ω. When the switch that is connected to Rtest is enabled, the current sourced by the regulator increases by 11mA. Measure the difference in Vc voltage between the test load connected to the circuit and not connected to the circuit. The difference between the two measurements equals dvc in Equation 15. Dividing the dvc/dil equals the sense resistance. Adjust Rsen and repeat the two measurements until the resistance value equals Rdcr(nom). In this case, the Rdcr(nom) equals 0.185Ω. The Rdcr value varies by ±13%. Since the voltage measured is a magnitude, there isn t a way to calibrate Rdcr directly. Trimming the Rsen resistor to an effective resistance of 0.185Ω may result in an unbalanced DCR circuit if the actual Rdcr value does not equal 0.185Ω. An unbalanced circuit results in an imaginary component when solving for the effective resistance in Equation 10. An unbalanced DCR circuit results that has an effective resistance dependent on frequency. How much does a 13% Rdcr resistance variance contribute to the effective resistance value of the DCR circuit? As mentioned prior, the buck regulator has a switching frequency of 900kHz. Solving Equation 10 for Rdcr equal to 0.213Ω yields a measured Rdcr value of *10-5 i for an inductor that is 20% low and a capacitor that is 10% high. Rsen value was for 8600Ω for this instant. The imaginary part of the resistance is 0.028% of the real value at a switching frequency of 900kHz. The effective resistance across Csen is constant as long as the switching frequency is constant. Figure 14 graphs the frequency dependence between a mismatched DCR circuit and a matched DCR circuit. Figure 14. Graph of the Sense Resistance between a Matched and an Unmatched and Trimmed DCR Circuit A trimmed DCR circuit with a +13% Rdcr value has a 0.4uΩ or 2.2ppm variance across the switching frequency range of the ISL The change in resistance value is small versus switching frequency. DCR Summary A DCR circuit is a lossless circuit that requires little board space to construct. The circuit requires tuning for proper operations. Therefore, extra steps need to be taken at the manufacturing to guarantee proper operation of the circuit. The tolerances of the reactive components can cause large variances in the effective resistance between circuits. Inductors and capacitors have strong temperature coefficients which add to the inaccuracies of the circuit once it is tuned. Overall, the DCR circuit architecture is good for measuring gross currents while maintaining a lossless system for switching regulators. Element 3: Hall Effect Sensor A Hall Effect sensor measures the strength of a magnetic field from a nearby conductor in determining the magnitude of the current passing through a conductor. Hall Effect sensors that measure current are 13 Intersil

14 commonly found in lossless and very high current applications. A Hall Effect sensor remotely measures current passing through a conductor by measuring the magnitude of the magnetic field sourced from a trace. Systems in which employ Hall Effect sensors are considered lossless since the sensor remotely measures current. Applications above 200A may use Hall Effect sensors because the power dissipation from a sense resistor is large for high current applications. Figure 15 illustrates the basic concept of a Hall Effect current measuring application. r I I I Current Bearing Trace B Field VCC GND Linear Hall Effect Sensor IC VINP Vout VINM ADC 16-Bit Figure 15. Hall Effect Sensor Example The circuit in Figure 15 measures current through the trace by measuring the magnetic field, B, emitted from the current flowing through the trace. The B field is directly proportional to the magnitude and direction of the current flowing through the trace. The B field is perpendicular to the current flow. The direction of the B field with respect to current flow is illustrated in Figure 16. CURRENT FLOW IN CURRENT FLOW OUT Figure 16. An Illustration of Current Flow with Respect to the Magnetic Field Direction The mathematical relation between the magnitude of the current and the magnetic field is represented in Equation 16 for a wire. A strip line trace has a slightly different equation. For simplicity, this paper uses Equation 16 to discuss the relationship between current and magnetic fields. B µ o I 2 π r OR I 2 π r B µ o Equation 16. The Mathematical Relationship between Current and Magnetic Field for a Wire 14 Intersil

### Application Note AN:005. FPA Printed Circuit Board Layout Guidelines. Introduction Contents. The Importance of Board Layout

FPA Printed Circuit Board Layout Guidelines By Paul Yeaman Principal Product Line Engineer V I Chip Strategic Accounts Introduction Contents Page Introduction 1 The Importance of 1 Board Layout Low DC

### APPLICATION NOTE Innovative shunt design techniques optimise power measurement accuracy

APPLICATION NOTE - 012 Innovative shunt design techniques optimise power measurement accuracy Introduction Rapid developments in power conversion technologies combined with a need for better product efficiency

### A Simple Current-Sense Technique Eliminating a Sense Resistor

INFINITY Application Note AN-7 A Simple Current-Sense Technique Eliminating a Sense Resistor Copyright 998 A SIMPE CURRENT-SENSE TECHNIQUE EIMINATING A SENSE RESISTOR INTRODUCTION A sense resistor R S,

### Evaluating AC Current Sensor Options for Power Delivery Systems

Evaluating AC Current Sensor Options for Power Delivery Systems State-of-the-art isolated ac current sensors based on CMOS technology can increase efficiency, performance and reliability compared to legacy

### Temperature-to-Bits converter helps solve challenges in sensor measurement

Temperature-to-Bits converter helps solve challenges in sensor measurement Michael Mayes, Design Section Head, Mixed Signal Products, Linear Technology Corp. - December 11, 2014 Although temperature is

### BIASING MMIC AMPLIFIERS (e.g., ERA SERIES) (AN )

Introduction BIASING MMIC AMPLIFIERS (e.g., ERA SERIES) (AN-60-010) The Mini-Circuits family of microwave monolithic integrated circuit (MMIC) Darlington amplifiers offers the RF designer multi-stage performance

### Application Note: PCB Design By: Wei-Lung Ho

Application Note: PCB Design By: Wei-Lung Ho Introduction: A printed circuit board (PCB) electrically connects circuit components by routing conductive traces to conductive pads designed for specific components

### Operational Amplifiers: Part 2. Non-ideal Behavior of Feedback Amplifiers DC Errors and Large-Signal Operation

Operational Amplifiers: Part 2 Non-ideal Behavior of Feedback Amplifiers DC Errors and Large-Signal Operation by Tim J. Sobering Analog Design Engineer & Op Amp Addict Summary of Ideal Op Amp Assumptions

### Application Note 142 August 2013. New Linear Regulators Solve Old Problems AN142-1

August 2013 New Linear Regulators Solve Old Problems Bob Dobkin, Vice President, Engineering and CTO, Linear Technology Corp. Regulators regulate but are capable of doing much more. The architecture of

### CURRENT SENSING USING RESISTIVE SHUNTS. Team 5

CURRENT SENSING USING RESISTIVE SHUNTS ECE 480 Design Team 5 Joshua Myers Ryan Laderach Stephen England Kenji Aono 4/1/2011 OUTLINE What is current sensing? Common Methods of Current Sensing High/Low Side

### Programmable Single-/Dual-/Triple- Tone Gong SAE 800

Programmable Single-/Dual-/Triple- Tone Gong Preliminary Data SAE 800 Bipolar IC Features Supply voltage range 2.8 V to 18 V Few external components (no electrolytic capacitor) 1 tone, 2 tones, 3 tones

### Linear Output Magnetic Field Sensor AD22151

Linear Output Magnetic Field Sensor AD5 FEATURES Adjustable Offset to Unipolar or Bipolar Operation Low Offset Drift over Temperature Range Gain Adjustable over Wide Range Low Gain Drift over Temperature

### Low Voltage, Resistor Programmable Thermostatic Switch AD22105

a Low Voltage, Resistor Programmable Thermostatic Switch AD22105 FEATURES User-Programmable Temperature Setpoint 2.0 C Setpoint Accuracy 4.0 C Preset Hysteresis Wide Supply Range (+2.7 V dc to +7.0 V dc)

### S-Band Low Noise Amplifier Using the ATF-10136. Application Note G004

S-Band Low Noise Amplifier Using the ATF-10136 Application Note G004 Introduction This application note documents the results of using the ATF-10136 in low noise amplifier applications at S band. The ATF-10136

### Low Cost, Precision IC Temperature Transducer AD592*

a FEATURES High Precalibrated Accuracy:.5 C max @ +25 C Excellent Linearity:.15 C max ( C to +7 C) Wide Operating Temperature Range: 25 C to +15 C Single Supply Operation: +4 V to +3 V Excellent Repeatability

### ADC-11 Terminal Board. User s Guide DO037-6

ADC-11 Terminal Board User s Guide DO037-6 Issues: 1) Obsolete. 2) Obsolete. 3) 13.11.03. A5 Word format. Not issued. 4) 28.3.06. Erie format. Typographic errors fixed. 5) 12.7.07. Chantilly format. D0

### ICS379. Quad PLL with VCXO Quick Turn Clock. Description. Features. Block Diagram

Quad PLL with VCXO Quick Turn Clock Description The ICS379 QTClock TM generates up to 9 high quality, high frequency clock outputs including a reference from a low frequency pullable crystal. It is designed

### SEMICONDUCTOR FC Pin Switch-Mode LED Lamp Driver IC FC9921 TECHNICAL DATA

SEMICONDUCTOR TECHNICAL DATA FC99 3-Pin Switch-Mode LED Lamp Driver IC Features Constant output current: 0mA Universal 85-65VAC operation Fixed off-time buck converter Internal 475V power MOSFET Applications

### Optimizing LDMOS Transistors Bias Control: Developing An Accurate Solution for Basestation RF Power Amplifiers

Optimizing LDMOS Transistors Bias Control: Developing An Accurate Solution for Basestation RF Power Amplifiers RF power amplifiers with LDMOS and GaAs transistors can provide excellent performance but

### Since any real component also has loss due to the resistive component, the average power dissipated is 2 2R

Quality factor, Q Reactive components such as capacitors and inductors are often described with a figure of merit called Q. While it can be defined in many ways, it s most fundamental description is: Q

### Application Note. So You Need to Measure Some Inductors?

So You Need to Measure Some nductors? Take a look at the 1910 nductance Analyzer. Although specifically designed for production testing of inductors and coils, in addition to measuring inductance (L),

### Pressure Transducer to ADC Application

Application Report SLOA05 October 2000 Pressure Transducer to ADC Application John Bishop ABSTRACT Advanced Analog Products/OpAmp Applications A range of bridgetype transducers can measure numerous process

### Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators

Designing Stable Compensation Networks for Single Phase Voltage Mode Buck Regulators Technical Brief December 3 TB47. Author: Doug Mattingly Assumptions This Technical Brief makes the following assumptions:.

### Impedance Matching. Using transformers Using matching networks

Impedance Matching The plasma industry uses process power over a wide range of frequencies: from DC to several gigahertz. A variety of methods are used to couple the process power into the plasma load,

### Impedance Matching and Matching Networks. Valentin Todorow, December, 2009

Impedance Matching and Matching Networks Valentin Todorow, December, 2009 RF for Plasma Processing - Definition of RF What is RF? The IEEE Standard Dictionary of Electrical and Electronics Terms defines

Advanced Monolithic Systems FEATURES Three Terminal Adjustable or Fixed oltages* 1.5, 1.8, 2.5, 2.85, 3.3 and 5. Output Current of 1A Operates Down to 1 Dropout Line Regulation:.2% Max. Load Regulation:.4%

### PL-277x Series SuperSpeed USB 3.0 SATA Bridge Controllers PCB Layout Guide

Application Note PL-277x Series SuperSpeed USB 3.0 SATA Bridge Controllers PCB Layout Guide Introduction This document explains how to design a PCB with Prolific PL-277x SuperSpeed USB 3.0 SATA Bridge

### AS2815. 1.5A Low Dropout Voltage Regulator Adjustable & Fixed Output, Fast Response

1.5A Low Dropout oltage Regulator Adjustable & Fixed Output, Fast Response FEATURES Adjustable Output Down To 1.2 Fixed Output oltages 1.5, 2.5, 3.3, 5.0 Output Current of 1.5A Low Dropout oltage 1.1 Typ.

### Current Sensor: ACS755xCB-050

Package CB-PFF 5 4 The Allegro ACS75x family of current sensors provides economical and precise solutions for current sensing in industrial, automotive, commercial, and communications systems. The device

### Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz

Author: Don LaFontaine Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz Abstract Making accurate voltage and current noise measurements on op amps in

### Application Note AN- 1118

Application Note AN- 111 IR331x : urrent Sensing High Side Switch P3 By David Jacquinod Table of ontents Page Introduction... 2 Inner Architecture... 2 Reverse Battery Protection... 2 Wait function...

### EXP #3: TEMPERATURE TRANSDUCERS

EXP #3: TEMPERATURE TRANSDUCERS I. INTRODUCTION Objectives: To understand the operation of thermistors and realization of a temperature sensing device, to study the basic characteristics of an I.C. temperature

### Grounding Demystified

Grounding Demystified 3-1 Importance Of Grounding Techniques 45 40 35 30 25 20 15 10 5 0 Grounding 42% Case 22% Cable 18% Percent Used Filter 12% PCB 6% Grounding 42% Case Shield 22% Cable Shielding 18%

### Printed Circuit Boards. Bypassing, Decoupling, Power, Grounding Building Printed Circuit Boards CAD Tools

Printed Circuit Boards (PCB) Printed Circuit Boards Bypassing, Decoupling, Power, Grounding Building Printed Circuit Boards CAD Tools 1 Bypassing, Decoupling, Power, Grounding 2 Here is the circuit we

### BIASING OF CONSTANT CURRENT MMIC AMPLIFIERS (e.g., ERA SERIES) (AN-60-010)

BIASING OF CONSTANT CURRENT MMIC AMPLIFIERS (e.g., ERA SERIES) (AN-60-010) Introduction The Mini-Circuits family of microwave monolithic integrated circuit (MMIC) Darlington amplifiers offers the RF designer

### Thermistor Temperature Transducer to ADC Application

Application Report SLOA052 - September 2000 Thermistor Temperature Transducer to ADC Application John Bishop Advanced Analog Products/Op-Amp Applications ABSTRACT An interchangeable-thermistor temperature-measurement

### Application Note 58 Crystal Considerations with Dallas Real Time Clocks

www.dalsemi.com Application Note 58 Crystal Considerations with Dallas Real Time Clocks Dallas Semiconductor offers a variety of real time clocks (RTCs). The majority of these are available either as integrated

### Dual High Speed, Implanted BiFET Op Amp AD644

a FEATURES Matched Offset Voltage Matched Offset Voltage Over Temperature Matched Bias Currents Crosstalk 124 db at 1 khz Low Bias Current: 35 pa max Warmed Up Low Offset Voltage: 500 V max Low Input Voltage

### Operational Amplifiers

Operational Amplifiers Introduction The operational amplifier (op-amp) is a voltage controlled voltage source with very high gain. It is a five terminal four port active element. The symbol of the op-amp

### LM134-LM234-LM334. Three terminal adjustable current sources. Features. Description

Three terminal adjustable current sources Features Operates from 1V to 40V 0.02%/V current regulation Programmable from 1µA to 10mA ±3% initial accuracy Description The LM134/LM234/LM334 are 3-terminal

### Voltage Output Temperature Sensor with Signal Conditioning AD22100

Voltage Output Temperature Sensor with Signal Conditioning AD22100 FEATURES 200 C temperature span Accuracy better than ±2% of full scale Linearity better than ±1% of full scale Temperature coefficient

### LM19 2.4V, 10µA, TO-92 Temperature Sensor

LM19 2.4V, 10µA, TO-92 Temperature Sensor General Description The LM19 is a precision analog output CMOS integratedcircuit temperature sensor that operates over a 55 C to +130 C temperature range. The

### www.jameco.com 1-800-831-4242

Distributed by: www.jameco.com 1-800-831-4242 The content and copyrights of the attached material are the property of its owner. LF411 Low Offset, Low Drift JFET Input Operational Amplifier General Description

### Extra Questions - 1. 1. What current will flow in a 20Ω resistor when it is connected to a 50V supply? a) 0.4A b) 1.6A c) 2.5A

Extra Questions - 1 1. What current will flow in a 20Ω resistor when it is connected to a 50V supply? a) 0.4A b) 1.6A c) 2.5A 2. A current of 500mA flows in a resistance of 12Ω. What power is dissipated

### Precision Analog Designs Demand Good PCB Layouts. John Wu

Precision Analog Designs Demand Good PCB Layouts John Wu Outline Enemies of Precision: Hidden components Noise Crosstalk Analog-to-Analog Digital-to-Analog EMI/RFI Poor Grounds Thermal Instability Leakage

### Section 3. Sensor to ADC Design Example

Section 3 Sensor to ADC Design Example 3-1 This section describes the design of a sensor to ADC system. The sensor measures temperature, and the measurement is interfaced into an ADC selected by the systems

### A Shunt Fixture for Low Impedance Measurements Sam Wetterlin 4/28/11

A Shunt Fixture for Low Impedance Measurements Sam Wetterlin 4/28/11 Introduction Measurements of impedances in the 0.01-10 ohm range are useful for measuring the resistance of capacitors, inductors and

### TRIPLE PLL FIELD PROG. SPREAD SPECTRUM CLOCK SYNTHESIZER. Features

DATASHEET ICS280 Description The ICS280 field programmable spread spectrum clock synthesizer generates up to four high-quality, high-frequency clock outputs including multiple reference clocks from a low-frequency

### Material: FR-4 Copper thickness: 1.0 to 2.0 ounces Dielectric thickness: 37 mils (1 mm finished board thickness)

AN 15.17 PCB Layout Guide for USB Hubs Introduction Two Layer PCB PCB Constraints This application note provides information on designing a printed circuit board (PCB) for the SMSC USB251x/xB Family of

### Application Note 58 Crystal Considerations for Dallas Real-Time Clocks

www.maxim-ic.com Application Note 58 Crystal Considerations for Dallas Real-Time Clocks OVERVIEW This application note describes crystal selection and layout techniques for connecting a 32,768Hz crystal

### VJ 6040 Mobile Digital TV UHF Antenna Evaluation Board

VISHAY VITRAMON Multilayer Chip Capacitors Application Note GENERAL is a multilayer ceramic chip antenna designed for receiving mobile digital TV transmissions in the UHF band. The target application for

### Digital-to-Analog Conversion

Digital-to-Analog Conversion Curtis A. Nelson Engr355 1 Introduction Connecting digital circuitry to sensor devices is simple if the sensor devices are inherently digital themselves. Switches, relays,

### 5.1 Channel Volume Control

THAT Corporation Design Note 5. Channel Volume Control The circuits within this application note feature THAT8x to provide the essential function of voltage-controlled amplifier (VCA). Since writing this

### Application Note AN10174-01. A Low Impedance PIN Diode Driver Circuit with Temperature Compensation

Application Note AN74- A Low mpedance PN Diode Driver Circuit with Temperature Compensation Two Philips BAP5 PN diodes are used in an RF attenuator with a low impedance driver circuit to significantly

### QUICK START GUIDE FOR DEMONSTRATION CIRCUIT 956 24-BIT DIFFERENTIAL ADC WITH I2C LTC2485 DESCRIPTION

LTC2485 DESCRIPTION Demonstration circuit 956 features the LTC2485, a 24-Bit high performance Σ analog-to-digital converter (ADC). The LTC2485 features 2ppm linearity, 0.5µV offset, and 600nV RMS noise.

### Understanding the Terms and Definitions of LDO Voltage Regulators

Application Report SLVA79 - October 1999 Understanding the Terms and Definitions of ltage Regulators Bang S. Lee Mixed Signal Products ABSTRACT This report provides an understanding of the terms and definitions

### Ezeilo Chibuike J, Okolo Chidiebere C, Okeke Obinna, Okoye Ngozi B, Nebechi Shadrach I

Application of High-Voltage, Precision, Low- Power Max9943/Max9944 Operational Amplifier in Industrial Process Control Using ±20ma OR 4-20ma Current-Loop Systems Ezeilo Chibuike J, Okolo Chidiebere C,

### Filter Considerations for the IBC

application note AN:202 Filter Considerations for the IBC Mike DeGaetano Application Engineering July 2013 Contents Page Introduction 1 IBC Attributes 1 Damping and 2 Converter Bandwidth Filtering 3 Filter

### AN1982 Applying the oscillator of the SA602 in low-power mixer applications

RF COMMUNICATIONS PRODUCTS Applying the oscillator of the SA02 in low-power Donald Anderson 99 Oct 23 Philips Semiconductors Applying the oscillator of the SA02 in low-power Author: Donald Anderson INTRODUCTION

### Basic DACs for Electronic Engineers

No. AN9741 July 1997 Intersil Linear Basic DACs for Electronic Engineers Author: Ronald Mancini Why and Where are DACs Used? The name is digital-to-analog converter, and the function of a DAC, as the name

### LM1036 Dual DC Operated Tone/Volume/Balance Circuit

LM1036 Dual DC Operated Tone/Volume/Balance Circuit General Description The LM1036 is a DC controlled tone (bass/treble), volume and balance circuit for stereo applications in car radio, TV and audio systems.

### Lab #4 Capacitors and Inductors. Capacitor and Inductor Transient Response

Capacitor and Inductor Transient Response Capacitor Theory Like resistors, capacitors are also basic circuit elements. Capacitors come in a seemingly endless variety of shapes and sizes, and they can all

### POWER FORUM, BOLOGNA 20-09-2012

POWER FORUM, BOLOGNA 20-09-2012 Convertitori DC/DC ad alta densità di potenza e bassa impedenza termica. Massimo GAVIOLI. Senior Field Application Engineer. Intersil SIMPLY SMARTER Challenges when Designing

### Peggy Alavi Application Engineer September 3, 2003

Op-Amp Basics Peggy Alavi Application Engineer September 3, 2003 Op-Amp Basics Part 1 Op-Amp Basics Why op-amps Op-amp block diagram Input modes of Op-Amps Loop Configurations Negative Feedback Gain Bandwidth

### Current Transducer LAX SERIES I PN

Current Transducer LAX SERIES I PN = 16-1 A Ref: LAX 1-NP For the electronic measurement of currents: DC, AC, pulsed..., with a galvanic isolation between the primary circuit (high power) and the secondary

### LM134-LM234 LM334 THREE TERMINAL ADJUSTABLE CURRENT SOURCES. OPERATES from 1V to 40V

LM134-LM234 LM334 THREE TERMINAL USTABLE CURRENT SOURCES OPERATES from 1 to 40. 0.02% CURRENT REGULATION PROGRAMMABLE from 1µA to 10mA ±3% INITIAL ACCURACY DESCRIPTION The LM134/LM234/LM334 are 3-terminal

### Precision Fully Differential Op Amp Drives High Resolution ADCs at Low Power

Precision Fully Differential Op Amp Drives High Resolution ADCs at Low Power Kris Lokere The op amp produces differential outputs, making it ideal for processing fully differential analog signals or taking

### Microwave Transistor Bias Considerations. Application Note 944-1

Microwave Transistor Bias Considerations Application Note 944-1 Introduction Often the least considered factor in microwave transistor circuit design is the bias network. Considerable effort is spent in

### RLC Resonant Circuits

C esonant Circuits Andrew McHutchon April 20, 203 Capacitors and Inductors There is a lot of inconsistency when it comes to dealing with reactances of complex components. The format followed in this document

### Welcome to this presentation on Driving LEDs Resistors and Linear Drivers, part of OSRAM Opto Semiconductors LED Fundamentals series.

Welcome to this presentation on Driving LEDs Resistors and Linear Drivers, part of OSRAM Opto Semiconductors LED Fundamentals series. In this presentation we will look at: - Simple resistor based current

ADC-20/ADC-24 Terminal Board User Guide DO117-5 Issues: 1) 8.11.05 Created by JB. 2) 13.12.05 p10: added 0V connection to thermocouple schematic. 3) 22.3.06 p11: removed C1. 4) 20.8.07 New logo. 5) 29.9.08

### SS39ET/SS49E/SS59ET Series. Linear Hall-effect Sensor ICs. Datasheet

SS39ET/SS49E/SS59ET Series Linear Hall-effect Sensor ICs Datasheet Magnetoresistive Sensor ICs The SS39ET/SS49E/SS59ET Series low-cost linear Hall-effect sensor ICs are small, versatile devices that are

### An equivalent circuit of a loop antenna.

3.2.1. Circuit Modeling: Loop Impedance A loop antenna can be represented by a lumped circuit when its dimension is small with respect to a wavelength. In this representation, the circuit parameters (generally

### GT Sensors Precision Gear Tooth and Encoder Sensors

GT Sensors Precision Gear Tooth and Encoder Sensors NVE s GT Sensor products are based on a Low Hysteresis GMR sensor material and are designed for use in industrial speed applications where magnetic detection

### LM386 Low Voltage Audio Power Amplifier

Low Voltage Audio Power Amplifier General Description The LM386 is a power amplifier designed for use in low voltage consumer applications. The gain is internally set to 20 to keep external part count

### AN-581 APPLICATION NOTE

a AN-58 APPLICATION NOTE One Technology Way P.O. Box 906 Norwood, MA 02062-906 Tel: 78/329-4700 Fax: 78/326-8703 www.analog.com Biasing and Decoupling Op Amps in Single Supply Applications by Charles Kitchin

### TLI4946. Datasheet TLI4946K, TLI4946-2K, TLI4946-2L. Sense and Control. May 2009

May 2009 TLI4946 High Precision Hall Effect Latches for Industrial and Consumer Applications TLI4946K, TLI4946-2K, TLI4946-2L Datasheet Rev. 1.0 Sense and Control Edition 2009-05-04 Published by Infineon

### SPREAD SPECTRUM CLOCK GENERATOR. Features

DATASHEET ICS7152 Description The ICS7152-01, -02, -11, and -12 are clock generators for EMI (Electro Magnetic Interference) reduction (see below for frequency ranges and multiplier ratios). Spectral peaks

### High Voltage Power Supplies for Analytical Instrumentation

ABSTRACT High Voltage Power Supplies for Analytical Instrumentation by Cliff Scapellati Power supply requirements for Analytical Instrumentation are as varied as the applications themselves. Power supply

### Standex-Meder Electronics. Custom Engineered Solutions for Tomorrow

Standex-Meder Electronics Custom Engineered Solutions for Tomorrow RF Reed Relays Part II Product Training Copyright 2013 Standex-Meder Electronics. All rights reserved. Introduction Purpose Designing

### Differential Signaling Doesn t Require Differential Impedance. Or, How to Design a Differential Signaling Circuit

Article for Printed Circuit Design By Lee W. Ritchey, 3Com Corporation Differential Signaling Doesn t Require Differential Impedance Or, How to Design a Differential Signaling Circuit That title may seem

### Understanding SMD Power Inductors. Application Note. July 2011

Understanding SMD Power Inductors July 2011 Application Note Power inductors play an important role in voltage conversion applications by yielding lower core losses. They are also used to store energy,

### Magnetic Fields; Sources of Magnetic Field

This test covers magnetic fields, magnetic forces on charged particles and current-carrying wires, the Hall effect, the Biot-Savart Law, Ampère s Law, and the magnetic fields of current-carrying loops

### Position Sensors MicroSense, LLC

Understanding Capacitive Position Sensors 2011 MicroSense, LLC Table of Contents 1. Introduction to Capacitive Sensors... 3 1.1 Characteristics of Capacitive Sensors... 3 1.1.1 Non Contact... 3 1.1.2 High

### Current and Temperature Ratings

Document 361-1 Current and Temperature Ratings Introduction This application note describes: How to interpret Coilcraft inductor current and temperature ratings Our current ratings measurement method and

### Monolithic 12-Bit DIGITAL-TO-ANALOG CONVERTERS

FPO FPO 41% DAC80 DAC80P Monolithic 12-Bit DIGITAL-TO-ANALOG CONVERTERS FEATURES INDUSTRY STANDARD PINOUT FULL ±10V SWING WITH V CC = ±12VDC DIGITAL INPUTS ARE TTL- AND CMOS-COMPATIBLE GUARANTEED SPECIFICATIONS

### How to Efficiently Boost Power in High Voltage Automotive Applications

How to Efficiently Boost Power in High Voltage Automotive Applications Introduction While the 12-volt lead acid battery is still the dominant power source in automobiles, there are new automotive applications

### FEATURES. TYPICAL TCR and MAX. SPREAD (- 55 C to + 125 C, + 25 C Ref)

Ultra High Precision Z-Foil Surface Mount Current Sensing Chip Resistor with Power Rating to 1 W and Temperature Coefficient of Resistance of ± 0.05 ppm/ C and Power Coefficient of 5 ppm at Rated Power

### LM138 LM338 5-Amp Adjustable Regulators

LM138 LM338 5-Amp Adjustable Regulators General Description The LM138 series of adjustable 3-terminal positive voltage regulators is capable of supplying in excess of 5A over a 1 2V to 32V output range

### Microcontroller to Sensor Interfacing Techniques

to Sensor Interfacing Techniques Document Revision: 1.01 Date: 3rd February, 2006 16301 Blue Ridge Road, Missouri City, Texas 77489 Telephone: 1-713-283-9970 Fax: 1-281-416-2806 E-mail: info@bipom.com

### Thermocouple Application. Section 3

Thermocouple Application Section 3 Outline This session will focus on the thermocouple Theory Measurement and reference s Parasitic Cold compensation Software Hardware Thermocouple circuits Nonlinearity

### Fox-2 MPPT Unit Testing

P13271 Fox-2 MPPT Unit Testing Final Engineering Specifications Testing Author: Brenton Salmi P13271 Team Members: Brenton Salmi, Bryce Salmi, Ian MacKenzie, Daniel Corriero 5/10/2013 This test document

### Name Date Day/Time of Lab Partner(s) Lab TA

Name Date Day/Time of Lab Partner(s) Lab TA Objectives LAB 7: AC CIRCUITS To understand the behavior of resistors, capacitors, and inductors in AC Circuits To understand the physical basis of frequency-dependent

### Student Name Instructor Name. High School or Vocational Center Grade. COMPETENCY RECORD FOR ARTICULATION Muskegon Community College Electronics

Student Name Instructor Name High School or Vocational Center Grade COMPETENCY RECORD FOR ARTICULATION Muskegon Community College Electronics Please check below each skill the student has mastered as described,

### The Smith chart. Smith chart components. The normalized impedance line CHAPTER

26 CHAPTER The Smith chart The mathematics of transmission lines, and certain other devices, becomes cumbersome at times, especially when dealing with complex impedances and nonstandard situations. In

### Basic RTD Measurements. Basics of Resistance Temperature Detectors

Basic RTD Measurements Basics of Resistance Temperature Detectors Platinum RTD resistances range from about 10 O for a birdcage configuration to 10k O for a film type, but the most common is 100 O at 0

### Fundamentals of Signature Analysis

Fundamentals of Signature Analysis An In-depth Overview of Power-off Testing Using Analog Signature Analysis www.huntron.com 1 www.huntron.com 2 Table of Contents SECTION 1. INTRODUCTION... 7 PURPOSE...

### ICS650-44 SPREAD SPECTRUM CLOCK SYNTHESIZER. Description. Features. Block Diagram DATASHEET

DATASHEET ICS650-44 Description The ICS650-44 is a spread spectrum clock synthesizer intended for video projector and digital TV applications. It generates three copies of an EMI optimized 50 MHz clock