The effect of frequency and illumination intensity on the main electrical characteristics of Al-TiW-Pd 2 Si/n-Si structures at room temperature

Size: px
Start display at page:

Download "The effect of frequency and illumination intensity on the main electrical characteristics of Al-TiW-Pd 2 Si/n-Si structures at room temperature"

Transcription

1 JOURNAL OF OPTOELECTRONICS AND ADVANCED MATERIALS Vl. 12, N. 2, February 2010, p The effect f frequency and illuminatin intensity n the main electrical characteristics f Al-TiW-Pd 2 Si/n-Si structures at rm temperature H. USLU *, Y. ŞAFAK, İ. TAŞÇIOĞLU, Ş. ALTINDAL Physics Department, Gazi University, Ankara, Turkey The effect f frequency and illuminatin intensity n the main electrical parameters such as ideality factr (n), zer bias barrier height (Φ B), depletin layer width (W D), dping cncentratin (N D) and interface state densities (N ss) f Al-TiW- Pd 2Si/n-Si structures have been investigated by using current-vltage (I-V) and admittance spectrscpy (C-V and G/w-V) techniques at rm temperature. In additin, the dielectric cnstant (ε ) and dielectric lss (ε ), lss tangent (tanδ) and ac electrical cnductivity (σ ac) have been investigated using C-V and G/w-V measurements at varius frequencies and illuminatin intensities. Experimental results shw that bth the value f capacitance (C) and cnductance (G/w) increase with increasing illuminatin intensity and decreasing frequency. On the ther hand the value f R s decreases with increasing illuminatin densities. Als, the ε, ε, tanδ and σ ac values were fund strngly frequency, bias vltage and illuminatin intensity. The results can be cncluded t imply that the interfacial plarizatin can mre easily ccur at lw frequencies and high illuminatin intensities cnsequently cntributing t the deviatin f electrical and dielectric prperties f Al-TiW-Pd 2Si/n-Si structures. (Received January 15, 2009; accepted February 18, 2010) Keywrds: Al-TiW-Pd 2 Si/n-Si structures, Illuminatin effect, I-V and C-V measurement, Electrical characteristics, Dielectric prperties, AC cnductivity 1. Intrductin In general, platinum silicide (PtSi) cntacts suffer frm a number f prcessing difficulties assciated with the Pt due t its high melting temperature. Therefre, palladium silicide (Pd 2 Si) and Al-TiW-Pd 2 Si ffer a useful alternative t Al and PtSi as a rectifier cntact material. Thus, palladium silicide films are cmmnly used in the fabricatin f metal-semicnductr (MS) and metalinsulatr-semicnductr (MIS) type Schttky barrier dides (SBDs) n silicn devices [1-9]. Because f the imprtance f metal silicide in integrate circuit technlgy Pd 2 Si films n Si have received a lt f attentin in the past. The first studies n Pd 2 Si films were made by Kircher [1], wh investigated the metallurgical prperties and electrical characteristics f Pd 2 Si cntacts n n-si. Wittmer et al. [6] and Shepela [7] perfrmed the measurement f resistivity f Pd 2 Si film grwn n Si substrate. Hwever, the illuminatin effect n main these parameters f metal-pd 2 Si/Si structures at varius frequencies have been nt investigated in detail yet. Bth electrical and dielectric prperties f the SBDs especially depend n the native r depsited interfacial insulatr layer, the N ss and barrier frmatin at M/S interface. Palladium silicide (Pd 2 Si) ffers a useful alternative t Al-PtSi as a cntact material. In this study, the frequency and applied bias vltage dependent dielectric parameters such as dielectric cnstant (ε ) and dielectric lss (ε ), lss tangent (tanδ) and ac electrical cnductivity (σ ac ) f Al-TiW-Pd 2 Si/n-Si structures have been investigated by using C-V and G/w-V measurements at varius frequencies and illuminatin intensities at rm temperature. 2. Experimental prcedure The Al-TiW-Pd 2 Si structures were fabricated n 2 inch diameter n-type (P dped) single crystal silicn wafer with (111) surface rientatin, 0.07 Ω-cm resistivity, 3.5 μm thickness and the area f 8 x 10-6 m 2. After the cleaning prcess, high purity Al with a thickness f abut 2000 Å were thermally evaprated nt whle back side f Si wafer at a pressure abut 10-6 Trr in high vacuum system. The hmic cntacts were frmed by annealing them fr a few minutes at 723 K. Al was als depsited nt TiW- Pd 2 Si/n-Si structure by he same methd until the thickness f Al film n Ti 10 W 90 -Pd 2 Si-nSi layer was abut 1 μm. The Al-TiW-Pd 2 Si/n-Si structures and details f the fabricated prcedures were given in ur previus study [4]. I-V and cnductance measurements were perfrmed by use f a Keithley 2400 I-V surce-meter and an HP4192A LF impedance analyzer, respectively.

2 The effect f frequency and illuminatin intensity n the main electrical characteristics f Al-TiW-Pd 2 Si/n-Si Results and discussins 3.1. Electrical Characteristics f Al-TiW-Pd 2 Si/n-Si Fr SBDs with a series resistance Rs, the relatin between the applied frward bias vltage (V) and the current (I) can be written as [10,11]: I = I q( V IRs ) q( V IRs ) exp 1 exp (1) nkt kt where I is the reverse saturatin current and it can be described by 2 qφ I = AA* T exp - kt B (2) where the quantities IR s, A, A* (120A/cm 2 K 2 fr n-type Si) and T are the terms is the vltage drp acrss R s, the rectifier cntact area, the effective Richardsn cnstant and temperature in Kelvin, respectively. Fig. 2. The C -2 -V plts f Al-TiW-Pd 2 Si/n-Si structure under varius illuminatin levels at rm temperature. The N D, W D, Φ B and N ss values were btained frm the reverse bias C -2 - V plts (Fig. 2) as fllwing equatins [10] and was als given in Table 1. kt ΦB ( C V) = V0 + + E (3) F q where V 0 is the intercept vltage and E F values were btained accrding t, kt N C E = F ln (4) q N D Fig. 1. The semi-lgarithmic LnI-V characteristics f Al-TiW-Pd 2 Si/n-Si structure in and under varius illuminatin levels at rm temperature. Fig. 1. shws the Ln I-V characteristics f the Al- TiW-Pd 2 Si/n-Si structure. The increase in the frward can be attributed t prductin f electrn-hle pairs under illuminatin. The I, Φ B and n values were btained accrding t therminic emissin (TE) [10,11] were fund t be a strng functin f illuminatin level and are given in Table 1. where N C =4.82x10 15 T 3/2 (m e * /m 0 ) 3/2 is the effective density f states in Si cnductance band and m 0 =9.1x10-31 kg the rest mass f the electrn. As shwn in Table 1, the values f N D, W D and Φ B were fund t be a strng functin f illuminatin intensity. The values f W D and Φ B were fund t decrease, while the N D increases with increasing illuminatin level due t the shrinking f the depletin regin width (W D ) and restructure and rerdering f interface states under illuminatin effect. The N ss values were calculated frm Eq. 5 [12,13]and are given in Table 1. It is clear that the value f N ss decreases with increasing illuminatin density 2 ' εi 1 c2 = N 2 D ND = = (5) qεε s 0N D d( C )/ dv εi + qδnss n

3 264 H. Uslu, Y. Şafak, İ. Taşçiğlu, Ş. Altindal Table 1. Illuminatin dependent values f electrical parameters btained frm frward bias I-V, reverse bias C-V and C -2 -V characteristics f Al-TiW-Pd 2 Si/n-Si structure. Pwer (mw/cm 2 ) I ph (A) I (A) n Φ B0 (I-V) V D (V) N D (cm -3 ) E F W D (cm) Φ B N ss (ev -1 cm -2 ) x x x x x x x x x x x x x x x x x x x x x x Dielectric Prperties f Al-TiW-Pd 2 Si/n-Si Structure The real and imaginary part f dielectric cnstant (ε and ε ), tanδ and σ ac were btained frm C and G/w characteristics as fllwing equatins at varius illuminatin levels and frequency (in and 20 mw/cm 2 ) and are given Fig. 3 and Fig. 4, respectively. ε ' (a) ε '' (b) tan δ 0,4 0,3 0,2 (c) σ ac (Ω -1 cm -1 ) 7,E-07 6,E-07 5,E-07 4,E-07 3,E-07 (d) 0,1 2,E-07 1,E-07 0, ,E+00 Fig. 3. Vltage dependence f the (a) dielectric cnstant (ε ), (b) dielectric lss (ε ), (c) lss tangent (tan δ) and (d) ac cnductivity (σ ac ) in and under varius illuminatin levels fr Al-TiW-Pd 2 Si/n-Si structure.

4 The effect f frequency and illuminatin intensity n the main electrical characteristics f Al-TiW-Pd 2 Si/n-Si and C = ' m ε, C σ ac ε ' = G ωc ' m, '' ε tanδ = (6) ' ε '' = ωc tan δ ( d / A) = ε ωε (7) where C = ε 0 (A/d x ), d x is the interfacial insulatr layer thickness and ε is the permittivity f free space charge (ε = F/cm). As can be seen frm Figs. 4 and 5, the ε, ε and σ ac were btained strngly functin f illuminatin levels and frequency. These values increase with increasing illuminatin levels while decrease with increasing frequency due t space charge plarizatin caused by impurities r interstitials in the materials. Similar results have been reprted in literature [14-17]. Als, it is clear that bth the values ε' and ε'' are greater at lw frequencies due t the pssible interface plarizatin mechanisms [16-20] since interface states (N ss ) cannt fllw the ac signal at high frequencies [10-13]. These dispersins in ε' and ε'' with frequency can be attributed t Maxwell-Wagner [18] and space-charge plarizatin [19]. Fig. 4. Vltage dependence f the (a) dielectric cnstant (ε ), (b) dielectric lss (ε ), (c) lss tangent (tan δ) and (d) ac cnductivity (σ ac ) at different frequency (10, 50, 100, 500 khz) fr Al-TiW-Pd 2 Si/n-Si structure. 4. Cnclusins The electrical, dielectric and ac electrical cnductivity (σ ac ) f the Al-TiW-Pd 2 Si/n-Si structures have been investigated by using the frward and reverse bias I-V, C- V and G/ω-V measurements in and under illuminatin at rm temperature. Experimental results shw that the values f ε', ε'', tanδ and σ ac were fund t be a strng functin f frequency and illuminatin level. Als, the energy distributin prfile f Nss was btained frm the frward bias I-V characteristics by taking int accunt bias dependence f the effective barrier height (Φe). The values f Nss increase frm the midgap twards the tp f

5 266 H. Uslu, Y. Şafak, İ. Taşçiğlu, Ş. Altindal cnductance band and decrease with increasing illuminatin level. The ε, ε and σ ac increase with increasing illuminatin levels while decrease with increasing frequency due t space charge plarizatin caused by impurities r interstitials in the materials. The results shw that the interfacial plarizatin can mre easily ccur at lw frequencies and high illuminatin intensities cnsequently alter bth the electrical and dielectric prperties f Al-TiW-Pd 2 Si/n-Si structures. Interface plarizatin reaches a cnstant value due t the fact that beynd a certain frequency f external field the electrn hpping cannt fllw the alternative field. References [1] C. J. Kircher, Slid-State Electrn 14, 507 (1971). [2] S. Chand, J. Kumar, Semicnd. Sci. Technl. 10, 1680 (1995). [3] M. C. Petty, Slid States Electrnics 29, 89 (1986). [4] İ. Dökme, Ş. Altındal, İ. M. Afandiyeva, Semicnd. Sci. Technl. 23, (2008). [5] İ. M. Afandiyeva, İ. Dökme, Ş. Altındal, L. K. Abdullayeva, Sh. G. Askerv, Micrelectrn. Eng. 85, 365 (2008). [6] M. Wittmer, D. L. Smith, P. W. Lew, M. A. Niclet, Slid-State Electrn. 21, 573 (1978). [7] A. Shepela, Slid State Electrn. 16, 477. (1973). [8] B. Studer, Slid State Electrn. 23, (1980). [9] P. S. H, G.W. Rublff, J.E. Lewis, V.L. Mruzzi, A. R. Williams Phys. Rev. B 22, 4784 (1980). [10] S. M. Sze, Physics f Semicnductr Devices (secnd ed.), Wiley, New Yrk (1981). [11] E. H. Rhderick, R. H. Williams, Metal Semicnductr Cntacts (secnd ed.), Clarendn Press, Oxfrd, [12] A. Tatarğlu, Ş. Altındal, M. M. Bülbül, Micrelectrn. Eng. 81, (2005). [13] A. Singh, Slid State Electrn. 28, (1985) [14] G. C. Psarras, E. Manlakaki, G. M. Tsangaris, Cmpsites: Part A 34, 1187 (2003). [15] A. Laha, S. B. Krupanidhi, Materials Sci. And Engineer. B 98, 204 (2003). [16] A. A. Sattar, S. A. Rahman, Phys. Stat. Sl. (a) 200(2), 415 (2003). [17] K. Prabakar, S. K. Narayandass, D. Mangalaraj, Phys. Stat. Sl. (a) 199(3), 507 (2003). [18] O. Bidault, P. Gux, M. Kchikech, M. Belkaumi, M. Magline, Phys. Rev. B 49, 7868 (1994). [19] A. Kyritsis, P. Pissis, J. Grammatikakis, Plym. Sci. Ply. Phys. 33, 1737 (1995). [20] C. Fangga, G. A. Saunders, E. F. Lambsn, R. N. Hamptn, G. Carini, G. D. Marc, M. Lanza, J. Appl. Ply. Sci. 34, 425 (1996). * Crrespnding authr: h.uslu@gazi.edu.tr

ANALYSIS OF FILL FACTOR LOSSES IN THIN FILM CdS/CdTe PHOTOVOLTAIC DEVICES

ANALYSIS OF FILL FACTOR LOSSES IN THIN FILM CdS/CdTe PHOTOVOLTAIC DEVICES ANALYSIS OF FILL FACTOR LOSSES IN THIN FILM CdS/CdTe PHOTOVOLTAIC DEVICES T. Ptlg, N. Spalatu, V. Cibanu,. Hiie *, A. Mere *, V. Mikli *, V. Valdna * Department Physics, Mldva State University, 60, A.

More information

EE247B/ME218: Introduction to MEMS Design Lecture 7m1: Lithography, Etching, & Doping CTN 2/6/18

EE247B/ME218: Introduction to MEMS Design Lecture 7m1: Lithography, Etching, & Doping CTN 2/6/18 EE247B/ME218 Intrductin t MEMS Design Lecture 7m1 Lithgraphy, Etching, & Dping Dping f Semicnductrs Semicnductr Dping Semicnductrs are nt intrinsically cnductive T make them cnductive, replace silicn atms

More information

Lecture 02 CSE 40547/60547 Computing at the Nanoscale

Lecture 02 CSE 40547/60547 Computing at the Nanoscale PN Junctin Ntes: Lecture 02 CSE 40547/60547 Cmputing at the Nanscale Letʼs start with a (very) shrt review f semi-cnducting materials: - N-type material: Obtained by adding impurity with 5 valence elements

More information

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s

( ) kt. Solution. From kinetic theory (visualized in Figure 1Q9-1), 1 2 rms = 2. = 1368 m/s .9 Kinetic Mlecular Thery Calculate the effective (rms) speeds f the He and Ne atms in the He-Ne gas laser tube at rm temperature (300 K). Slutin T find the rt mean square velcity (v rms ) f He atms at

More information

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES

THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC TESTS OF ELECTRONIC ASSEMBLIES PREFERRED RELIABILITY PAGE 1 OF 5 PRACTICES PRACTICE NO. PT-TE-1409 THERMAL-VACUUM VERSUS THERMAL- ATMOSPHERIC Practice: Perfrm all thermal envirnmental tests n electrnic spaceflight hardware in a flight-like

More information

ELECTROSTATIC FIELDS IN MATERIAL MEDIA

ELECTROSTATIC FIELDS IN MATERIAL MEDIA MF LCTROSTATIC FILDS IN MATRIAL MDIA 3/4/07 LCTURS Materials media may be classified in terms f their cnductivity σ (S/m) as: Cnductrs The cnductivity usually depends n temperature and frequency A material

More information

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit.

ZVS Boost Converter. (a) (b) Fig 6.29 (a) Quasi-resonant boost converter with M-type switch. (b) Equivalent circuit. EEL6246 Pwer Electrnics II Chapter 6 Lecture 6 Dr. Sam Abdel-Rahman ZVS Bst Cnverter The quasi-resnant bst cnverter by using the M-type switch as shwn in Fig. 6.29(a) with its simplified circuit shwn in

More information

Electric Current and Resistance

Electric Current and Resistance Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current

More information

11. DUAL NATURE OF RADIATION AND MATTER

11. DUAL NATURE OF RADIATION AND MATTER 11. DUAL NATURE OF RADIATION AND MATTER Very shrt answer and shrt answer questins 1. Define wrk functin f a metal? The minimum energy required fr an electrn t escape frm the metal surface is called the

More information

Theoretical study of third virial coefficient with Kihara potential

Theoretical study of third virial coefficient with Kihara potential Theretical study f third virial cefficient with Kihara ptential Jurnal: Manuscript ID cjp-017-0705.r Manuscript Type: Article Date Submitted by the Authr: 6-Dec-017 Cmplete List f Authrs: Smuncu E.; Giresun

More information

( ) ( ) ( ) ( ) ( z) ( )

( ) ( ) ( ) ( ) ( z) ( ) EE433-08 Planer Micrwave Circuit Design Ntes Returning t the incremental sectin, we will nw slve fr V and I using circuit laws. We will assume time-harmnic excitatin. v( z,t ) = v(z)cs( ωt ) jωt { s }

More information

A Novel Electro-thermal Simulation Approach to Power IGBT Modules for Automotive Traction Applications

A Novel Electro-thermal Simulation Approach to Power IGBT Modules for Automotive Traction Applications Special Issue Recent R&D Activities f Pwer Devices fr Hybrid Electric Vehicles 27 Research Reprt A Nvel Electr-thermal Simulatin Apprach t Pwer IGBT Mdules fr Autmtive Tractin Applicatins Takashi Kjima,

More information

AC CONDUCTIVITY AND DIELECTRIC PROPERTIES OF Al 2 O 3 THIN FILMS

AC CONDUCTIVITY AND DIELECTRIC PROPERTIES OF Al 2 O 3 THIN FILMS Jurnal f Ovnic Research Vl. 8, N. 6, Nvember December 0, p. 79-88 AC CONDUCTIVITY AND DIELECTRIC PROPERTIES OF Al O 3 THIN FILMS D. DEĞER *, K. ULUTAŞ, Ş. YAKUT İstanbul University, Science Faculty, Physics

More information

Supporting information

Supporting information Electrnic Supplementary Material (ESI) fr Physical Chemistry Chemical Physics This jurnal is The wner Scieties 01 ydrgen perxide electrchemistry n platinum: twards understanding the xygen reductin reactin

More information

Electrical Conduction and Dielectric Relaxation in Selenium Films Doped with Dysprosium Rare Earth

Electrical Conduction and Dielectric Relaxation in Selenium Films Doped with Dysprosium Rare Earth American Jurnal f Cndensed Matter Physics 2017, 7(2): 41-49 DOI: 10.5923/j.ajcmp.20170702.02 Electrical Cnductin and Dielectric Relaxatin in Selenium Films Dped with Dysprsium Rare Earth Fathy A. Abdel-Wahab

More information

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance

Verification of Quality Parameters of a Solar Panel and Modification in Formulae of its Series Resistance Verificatin f Quality Parameters f a Slar Panel and Mdificatin in Frmulae f its Series Resistance Sanika Gawhane Pune-411037-India Onkar Hule Pune-411037- India Chinmy Kulkarni Pune-411037-India Ojas Pandav

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 00 Circuit Analysis Lessn 6 Chapter 4 Sec 4., 4.5, 4.7 Series LC Circuit C Lw Pass Filter Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 00 Circuit Analysis Lessn 5 Chapter 9 &

More information

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium

Lecture 17: Free Energy of Multi-phase Solutions at Equilibrium Lecture 17: 11.07.05 Free Energy f Multi-phase Slutins at Equilibrium Tday: LAST TIME...2 FREE ENERGY DIAGRAMS OF MULTI-PHASE SOLUTIONS 1...3 The cmmn tangent cnstructin and the lever rule...3 Practical

More information

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.

Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic. Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage

More information

CHAPTER 5. Solutions for Exercises

CHAPTER 5. Solutions for Exercises HAPTE 5 Slutins fr Exercises E5. (a We are given v ( t 50 cs(00π t 30. The angular frequency is the cefficient f t s we have ω 00π radian/s. Then f ω / π 00 Hz T / f 0 ms m / 50 / 06. Furthermre, v(t attains

More information

, which yields. where z1. and z2

, which yields. where z1. and z2 The Gaussian r Nrmal PDF, Page 1 The Gaussian r Nrmal Prbability Density Functin Authr: Jhn M Cimbala, Penn State University Latest revisin: 11 September 13 The Gaussian r Nrmal Prbability Density Functin

More information

Interference is when two (or more) sets of waves meet and combine to produce a new pattern.

Interference is when two (or more) sets of waves meet and combine to produce a new pattern. Interference Interference is when tw (r mre) sets f waves meet and cmbine t prduce a new pattern. This pattern can vary depending n the riginal wave directin, wavelength, amplitude, etc. The tw mst extreme

More information

Series and Parallel Resonances

Series and Parallel Resonances Series and Parallel esnances Series esnance Cnsider the series circuit shwn in the frequency dmain. The input impedance is Z Vs jl jl I jc C H s esnance ccurs when the imaginary part f the transfer functin

More information

Chapter 23 Electromagnetic Waves Lecture 14

Chapter 23 Electromagnetic Waves Lecture 14 Chapter 23 Electrmagnetic Waves Lecture 14 23.1 The Discvery f Electrmagnetic Waves 23.2 Prperties f Electrmagnetic Waves 23.3 Electrmagnetic Waves Carry Energy and Mmentum 23.4 Types f Electrmagnetic

More information

Linearization of the Output of a Wheatstone Bridge for Single Active Sensor. Madhu Mohan N., Geetha T., Sankaran P. and Jagadeesh Kumar V.

Linearization of the Output of a Wheatstone Bridge for Single Active Sensor. Madhu Mohan N., Geetha T., Sankaran P. and Jagadeesh Kumar V. Linearizatin f the Output f a Wheatstne Bridge fr Single Active Sensr Madhu Mhan N., Geetha T., Sankaran P. and Jagadeesh Kumar V. Dept. f Electrical Engineering, Indian Institute f Technlgy Madras, Chennai

More information

Lattice specific heat of carbon nanotubes.

Lattice specific heat of carbon nanotubes. Lattice specific heat f carbn nantubes. A. Sparavigna Dipartiment di Fisica, Plitecnic di Trin C.s Duca degli Abruzzi 4, 1019 Trin, Italy The lattice specific heat f carbn nantubes is evaluated within

More information

BASIC DIRECT-CURRENT MEASUREMENTS

BASIC DIRECT-CURRENT MEASUREMENTS Brwn University Physics 0040 Intrductin BASIC DIRECT-CURRENT MEASUREMENTS The measurements described here illustrate the peratin f resistrs and capacitrs in electric circuits, and the use f sme standard

More information

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin

GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS. J.e. Sprott. Plasma Studies. University of Wisconsin GENERAL FORMULAS FOR FLAT-TOPPED WAVEFORMS J.e. Sprtt PLP 924 September 1984 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.

More information

ECEN 4872/5827 Lecture Notes

ECEN 4872/5827 Lecture Notes ECEN 4872/5827 Lecture Ntes Lecture #5 Objectives fr lecture #5: 1. Analysis f precisin current reference 2. Appraches fr evaluating tlerances 3. Temperature Cefficients evaluatin technique 4. Fundamentals

More information

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart

Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Key Wrds: Autregressive, Mving Average, Runs Tests, Shewhart Cntrl Chart Perfrmance f Sensitizing Rules n Shewhart Cntrl Charts with Autcrrelated Data Sandy D. Balkin Dennis K. J. Lin y Pennsylvania State University, University Park, PA 16802 Sandy Balkin is a graduate student

More information

" 1 = # $H vap. Chapter 3 Problems

 1 = # $H vap. Chapter 3 Problems Chapter 3 rblems rblem At 1 atmsphere pure Ge melts at 1232 K and bils at 298 K. he triple pint ccurs at =8.4x1-8 atm. Estimate the heat f vaprizatin f Ge. he heat f vaprizatin is estimated frm the Clausius

More information

Thermodynamics and Equilibrium

Thermodynamics and Equilibrium Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,

More information

800 Adenine Guanine. Gate Voltage (V)

800 Adenine Guanine. Gate Voltage (V) I. SUPPLEMENTARY FIGURES Surce-Drain Current (µa) 14 Thymine cverage (M.L.) 135 13 125 12 6 5 4 3.26.48.71.85 2.8-4 -2 2 4 7 Cytsine cverage (M.L.).6.2.5 1.1 3 6 8 Adenine cverage (M.L.).4.8 6 4 2 55 Guanine

More information

Session #22: Homework Solutions

Session #22: Homework Solutions Sessin #22: Hmewrk Slutins Prblem #1 (a) In the cntext f amrphus inrganic cmpunds, name tw netwrk frmers, tw netwrk mdifiers, and ne intermediate. (b) Sketch the variatin f mlar vlume with temperature

More information

Chapter 9: Quantization of Light

Chapter 9: Quantization of Light Chapter 9: Quantizatin Light 9.1 Planck s Quantum Thery 9.1.1 Distinguish between Planck s quantum thery and classical thery energy The undatin the Planck s quantum thery is a thery black bdy radiatin.

More information

Transport properties of zinc-bismuth oxide glasses

Transport properties of zinc-bismuth oxide glasses Indian Jurnal f Engineering & Materials Sciences Vl. 4, Fehruary 1997, pp. 28-32 Transprt prperties f zinc-bismuth xide glasses OS Dhte", S V Pakade" & S P Yawale" a Department f Physics, Vidya Bharati

More information

Introduction to Smith Charts

Introduction to Smith Charts Intrductin t Smith Charts Dr. Russell P. Jedlicka Klipsch Schl f Electrical and Cmputer Engineering New Mexic State University as Cruces, NM 88003 September 2002 EE521 ecture 3 08/22/02 Smith Chart Summary

More information

Epitaxial graphene on SiC

Epitaxial graphene on SiC Epitaxial graphene n SiC A rute twards high-perfrmance electrnic devices Albert García Outline 1. GPNT: a brief intrductin 2. Graphene n SiC 3. Back-gated graphene 4. Cnclusins Outline 1. GPNT: a brief

More information

General Chemistry II, Unit I: Study Guide (part I)

General Chemistry II, Unit I: Study Guide (part I) 1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the

More information

Study the Optical properties of Amorphous Structure (Glassy) of B 2 O 3 -CdO Binary System

Study the Optical properties of Amorphous Structure (Glassy) of B 2 O 3 -CdO Binary System Available nline at www.pelagiaresearchlibrary.cm Advances in Applied Science Research, 2012, 3 (2):743-748 ISSN: 0976-8610 CODEN (USA): AASRFC Study the Optical prperties f Amrphus Structure (Glassy) f

More information

Numerical Simulation of the Thermal Resposne Test Within the Comsol Multiphysics Environment

Numerical Simulation of the Thermal Resposne Test Within the Comsol Multiphysics Environment Presented at the COMSOL Cnference 2008 Hannver University f Parma Department f Industrial Engineering Numerical Simulatin f the Thermal Respsne Test Within the Cmsl Multiphysics Envirnment Authr : C. Crradi,

More information

Spectral Gain-Carrier Density Distribution of SQW GaAs/AlGaAs Laser

Spectral Gain-Carrier Density Distribution of SQW GaAs/AlGaAs Laser Wasit Jurnal fr Science & Medicine 11 4 (1): ( 1-11 ) Spectral Gain-Carrier Density Distributin f SQW GaAs/AlGaAs Laser *Adawiya J. Haider & *Safaa A. Oudah Al-Qaysi & **Awatif Sabir Jassam *Schl f Applied

More information

Edexcel GCSE Physics

Edexcel GCSE Physics Edexcel GCSE Physics Tpic 10: Electricity and circuits Ntes (Cntent in bld is fr Higher Tier nly) www.pmt.educatin The Structure f the Atm Psitively charged nucleus surrunded by negatively charged electrns

More information

Thermodynamics Partial Outline of Topics

Thermodynamics Partial Outline of Topics Thermdynamics Partial Outline f Tpics I. The secnd law f thermdynamics addresses the issue f spntaneity and invlves a functin called entrpy (S): If a prcess is spntaneus, then Suniverse > 0 (2 nd Law!)

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn

More information

Analysis of density and time constant of interface states of MIS device by conductance method

Analysis of density and time constant of interface states of MIS device by conductance method Indian Journal of Pure & Applied Physics Vol. 54, June 016, pp. 374-378 Analysis of density and time constant of interface states of MIS device by conductance method A Tataroğlu* & R Ertuğrul Uyar Department

More information

Effect of Paramagnetic Ions in Aqueous Solution for Precision Measurement of Proton Gyromagnetic Ratio

Effect of Paramagnetic Ions in Aqueous Solution for Precision Measurement of Proton Gyromagnetic Ratio 240 Bulletin f Magnetic Resnance Effect f Paramagnetic Ins in Aqueus Slutin fr Precisin Measurement f Prtn Gyrmagnetic Rati Ae Ran Lim, Chang Suk Kim Krea Research Institute f Standards and Science, Taejn

More information

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax

Revision: August 19, E Main Suite D Pullman, WA (509) Voice and Fax .7.4: Direct frequency dmain circuit analysis Revisin: August 9, 00 5 E Main Suite D Pullman, WA 9963 (509) 334 6306 ice and Fax Overview n chapter.7., we determined the steadystate respnse f electrical

More information

Effect of Carbon fiber on the Physico-Chemical Properties of Conductive Butyl-Rubber Composite

Effect of Carbon fiber on the Physico-Chemical Properties of Conductive Butyl-Rubber Composite Egypt. J. Sl., Vl. (23), N. (1), (2000) 167 Effect f Carbn fiber n the Physic-Chemical Prperties f Cnductive Butyl-Rubber Cmpsite F.S. Deghaidy Department f Chemistry, Faculty f Science, Suez Canal University,

More information

JAZAN University. Department: Electrical Engineering. Names & ID: Electronics LAB - 1/ / Electronics LAB - EngE : 314 G:...

JAZAN University. Department: Electrical Engineering. Names & ID: Electronics LAB - 1/ / Electronics LAB - EngE : 314 G:... Electrnics LAB - EngE : 314 G:... Electrnics LAB - 1/2-201. /201. Electrnics LAB - EngE : 314 G:... Electrnics LAB - 2/2-201. /201. Silicn JAZAN University Experiment 1: characteristics Electrnics LAB

More information

Lab 11 LRC Circuits, Damped Forced Harmonic Motion

Lab 11 LRC Circuits, Damped Forced Harmonic Motion Physics 6 ab ab 11 ircuits, Damped Frced Harmnic Mtin What Yu Need T Knw: The Physics OK this is basically a recap f what yu ve dne s far with circuits and circuits. Nw we get t put everything tgether

More information

Al/Ti/4H SiC Schottky barrier diodes with inhomogeneous barrier heights

Al/Ti/4H SiC Schottky barrier diodes with inhomogeneous barrier heights Al/Ti/4H SiC Schottky barrier diodes with inhomogeneous barrier heights Wang Yue-Hu( ), Zhang Yi-Men( ), Zhang Yu-Ming( ), Song Qing-Wen( ), and Jia Ren-Xu( ) School of Microelectronics and Key Laboratory

More information

MANIPAL INSTITUTE OF TECHNOLOGY

MANIPAL INSTITUTE OF TECHNOLOGY MANIPAL INSTITUTE OF TECHNOLOGY MANIPAL UNIVERSITY, MANIPAL SECOND SEMESTER B.Tech. END-SEMESTER EXAMINATION - MAY 013 SUBJECT: ENGINEERING PHYSICS (PHY101/10) Time: 3 Hrs. Max. Marks: 50 Nte: Answer any

More information

Partial Molar Volumes of Aluminium Chloride, Aluminium Sulphate and Aluminium Nitrate in Water-rich Binary Aqueous Mixtures of Tetrahydrofuran

Partial Molar Volumes of Aluminium Chloride, Aluminium Sulphate and Aluminium Nitrate in Water-rich Binary Aqueous Mixtures of Tetrahydrofuran ORIENTAL JOURNAL OF CHEMISTRY An Internatinal Open Free Access, Peer Reviewed Research Jurnal www.rientjchem.rg ISSN: 97-2 X CODEN: OJCHEG 214, Vl. 3, N. (4): Pg. 237-241 Partial Mlar Vlumes f Aluminium

More information

In the half reaction I 2 2 I the iodine is (a) reduced (b) oxidized (c) neither of the above

In the half reaction I 2 2 I the iodine is (a) reduced (b) oxidized (c) neither of the above 6.3-110 In the half reactin I 2 2 I the idine is (a) reduced (b) xidized (c) neither f the abve 6.3-120 Vitamin C is an "antixidant". This is because it (a) xidizes readily (b) is an xidizing agent (c)

More information

A Novel Isolated Buck-Boost Converter

A Novel Isolated Buck-Boost Converter vel slated uck-st Cnverter S-Sek Kim *,WOO-J JG,JOOG-HO SOG, Ok-K Kang, and Hee-Jn Kim ept. f Electrical Eng., Seul atinal University f Technlgy, Krea Schl f Electrical and Cmputer Eng., Hanyang University,

More information

Chapter 4. Unsteady State Conduction

Chapter 4. Unsteady State Conduction Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause

More information

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c

3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c Materials Science Frum Online: 2009-08-31 ISSN: 1662-9752, Vls. 628-629, pp 623-628 di:10.4028/www.scientific.net/msf.628-629.623 2009 Trans Tech Publicatins, Switzerland 3D FE Mdeling Simulatin f Cld

More information

General Chemistry II, Unit II: Study Guide (part 1)

General Chemistry II, Unit II: Study Guide (part 1) General Chemistry II, Unit II: Study Guide (part 1) CDS Chapter 21: Reactin Equilibrium in the Gas Phase General Chemistry II Unit II Part 1 1 Intrductin Sme chemical reactins have a significant amunt

More information

Estimation of Thermodynamic Properties and Ionic Equilibria of Cobalt Chloride Solution at 298 K

Estimation of Thermodynamic Properties and Ionic Equilibria of Cobalt Chloride Solution at 298 K Materials Transactins, Vl., N. () pp. 117 t 11 # The Japan Institute f Metals Estimatin f Thermdynamic Prperties and Inic Equilibria f Cbalt Chlride Slutin at 98 K Man-seung Lee 1 and Yung-j Oh 1 Department

More information

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion

Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential

More information

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects

Pressure And Entropy Variations Across The Weak Shock Wave Due To Viscosity Effects Pressure And Entrpy Variatins Acrss The Weak Shck Wave Due T Viscsity Effects OSTAFA A. A. AHOUD Department f athematics Faculty f Science Benha University 13518 Benha EGYPT Abstract:-The nnlinear differential

More information

Fluctuation-induced excess conductivity in the compounds CaREBaCu3OT_y (RE = La and Sin)

Fluctuation-induced excess conductivity in the compounds CaREBaCu3OT_y (RE = La and Sin) Bull. Mater. Sci., Vl. 14, N. 3, June 1991, pp. 747 752. Printed in India. Fluctuatin-induced excess cnductivity in the cmpunds CaREBaCu3OT_y (RE = La and Sin) 1. Intrductin H KRISHNAN t, R SRINIVASAN,

More information

Chapter 5: Diffusion (2)

Chapter 5: Diffusion (2) Chapter 5: Diffusin () ISSUES TO ADDRESS... Nn-steady state diffusin and Fick s nd Law Hw des diffusin depend n structure? Chapter 5-1 Class Eercise (1) Put a sugar cube inside a cup f pure water, rughly

More information

Sodium D-line doublet. Lectures 5-6: Magnetic dipole moments. Orbital magnetic dipole moments. Orbital magnetic dipole moments

Sodium D-line doublet. Lectures 5-6: Magnetic dipole moments. Orbital magnetic dipole moments. Orbital magnetic dipole moments Lectures 5-6: Magnetic diple mments Sdium D-line dublet Orbital diple mments. Orbital precessin. Grtrian diagram fr dublet states f neutral sdium shwing permitted transitins, including Na D-line transitin

More information

Transduction Based on Changes in the Energy Stored in an Electrical Field

Transduction Based on Changes in the Energy Stored in an Electrical Field Lecture 6-3 Transductin Based n Changes in the Energy Stred in an Electrical ield Department f Mechanical Engineering Example:Capacitive Pressure Sensr Pressure sensitive capacitive device With separatin

More information

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC.

1. Transformer A transformer is used to obtain the approximate output voltage of the power supply. The output of the transformer is still AC. PHYSIS 536 Experiment 4: D Pwer Supply I. Intrductin The prcess f changing A t D is investigated in this experiment. An integrated circuit regulatr makes it easy t cnstruct a high-perfrmance vltage surce

More information

Lecture 19: Electronic Contributions to OCV in Batteries and Solar Cells. Notes by MIT Student (and MZB) March 18, 2009

Lecture 19: Electronic Contributions to OCV in Batteries and Solar Cells. Notes by MIT Student (and MZB) March 18, 2009 Lecture 19: lectrnic Cntributins t OCV in Batteries and Slar Cells Ntes by MIT Student (and MZB) March 18, 2009 -In many situatins the µ e cnstant fr metal electrdes, this due t the abundance and freedm

More information

ABSORPTION AND DESORPTION CURRENTS IN POLYSTYRENE DOPED WITH DR1. 1. Introduction

ABSORPTION AND DESORPTION CURRENTS IN POLYSTYRENE DOPED WITH DR1. 1. Introduction ABSORPTION AND DESORPTION CURRENTS IN POLYSTYRENE DOPED WITH DR1 1 S. N. Fedsv 1, T. A. Revenyuk 1, J. A. Giacmetti 2 1 Odessa Natinal Academy f Fd Technlgies, Odessa, Ukraine 2 Sa Paul State University,

More information

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance

Chapter 16. Capacitance. Capacitance, cont. Parallel-Plate Capacitor, Example 1/20/2011. Electric Energy and Capacitance summary C = ε A / d = πε L / ln( b / a ) ab C = 4πε 4πε a b a b >> a Chapter 16 Electric Energy and Capacitance Capacitance Q=CV Parallel plates, caxial cables, Earth Series and parallel 1 1 1 = + +..

More information

Study Group Report: Plate-fin Heat Exchangers: AEA Technology

Study Group Report: Plate-fin Heat Exchangers: AEA Technology Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery

More information

Chapter 17: Thermodynamics: Spontaneous and Nonspontaneous Reactions and Processes

Chapter 17: Thermodynamics: Spontaneous and Nonspontaneous Reactions and Processes Chapter 17: hermdynamics: Spntaneus and Nnspntaneus Reactins and Prcesses Learning Objectives 17.1: Spntaneus Prcesses Cmparing and Cntrasting the hree Laws f hermdynamics (1 st Law: Chap. 5; 2 nd & 3

More information

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors

Current/voltage-mode third order quadrature oscillator employing two multiple outputs CCIIs and grounded capacitors Indian Jurnal f Pure & Applied Physics Vl. 49 July 20 pp. 494-498 Current/vltage-mde third rder quadrature scillatr emplying tw multiple utputs CCIIs and grunded capacitrs Jiun-Wei Hrng Department f Electrnic

More information

Permittivity and modulus spectroscopic study of BaFe 0.5

Permittivity and modulus spectroscopic study of BaFe 0.5 Prcessing and Applicatin f Ceramics 7 [4] (2013) 181 187 DOI: 10.2298/PAC1304181K Permittivity and mdulus spectrscpic study f BaFe 0.5 O 3 ceramics Subrat K. Kar, Pawan Kumar Department f Physics, Natinal

More information

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India

CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce

More information

A Comparison of AC/DC Piezoelectric Transformer Converters with Current Doubler and Voltage Doubler Rectifiers

A Comparison of AC/DC Piezoelectric Transformer Converters with Current Doubler and Voltage Doubler Rectifiers A Cmparisn f AC/DC Piezelectric Transfrmer Cnverters with Current Dubler and ltage Dubler Rectifiers Gregry vensky, Svetlana Brnstein and Sam Ben-Yaakv* Pwer Electrnics abratry Department f Electrical

More information

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai

Calculating the optimum pressure and temperature for vacancy minimization from theory; Niobium is an example. Jozsef Garai Calculating the ptimum pressure and temperature fr vacancy minimizatin frm thery; Nibium is an example Jzsef Garai Department f Mechanical and Materials Engineering, Flrida Internatinal University, Miami,

More information

Modelling of NOLM Demultiplexers Employing Optical Soliton Control Pulse

Modelling of NOLM Demultiplexers Employing Optical Soliton Control Pulse Micwave and Optical Technlgy Letters, Vl. 1, N. 3, 1999. pp. 05-08 Mdelling f NOLM Demultiplexers Emplying Optical Slitn Cntrl Pulse Z. Ghassemly, C. Y. Cheung & A. K. Ray Electrnics Research Grup, Schl

More information

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA

February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA February 28, 2013 COMMENTS ON DIFFUSION, DIFFUSIVITY AND DERIVATION OF HYPERBOLIC EQUATIONS DESCRIBING THE DIFFUSION PHENOMENA Mental Experiment regarding 1D randm walk Cnsider a cntainer f gas in thermal

More information

Cambridge Assessment International Education Cambridge Ordinary Level. Published

Cambridge Assessment International Education Cambridge Ordinary Level. Published Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid

More information

ACOUSTIC LOGGING GUIDED WAVES IN TRANSVERSELY ISOTROPIC FORMATIONS

ACOUSTIC LOGGING GUIDED WAVES IN TRANSVERSELY ISOTROPIC FORMATIONS ACOUSTIC LOGGING GUIDED WAVES IN TRANSVERSELY ISOTROPIC FORMATIONS by K. J. Ellefsen, C. H. Cheng, and D.P. Schmitt" Earth Resurces Labratry Department f Earth, Atmspheric, and Planetary Sciences Massachusetts

More information

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high

Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high Prblem Knwn: Dimensins and materials f the cmpsitin wall, 0 studs each with.5m high Unknwn:. Thermal resistance assciate with wall when surfaces nrmal t the directin f heat flw are isthermal. Thermal resistance

More information

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern

Methods for Determination of Mean Speckle Size in Simulated Speckle Pattern 0.478/msr-04-004 MEASUREMENT SCENCE REVEW, Vlume 4, N. 3, 04 Methds fr Determinatin f Mean Speckle Size in Simulated Speckle Pattern. Hamarvá, P. Šmíd, P. Hrváth, M. Hrabvský nstitute f Physics f the Academy

More information

NUMBERS, MATHEMATICS AND EQUATIONS

NUMBERS, MATHEMATICS AND EQUATIONS AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t

More information

University Chemistry Quiz /04/21 1. (10%) Consider the oxidation of ammonia:

University Chemistry Quiz /04/21 1. (10%) Consider the oxidation of ammonia: University Chemistry Quiz 3 2015/04/21 1. (10%) Cnsider the xidatin f ammnia: 4NH 3 (g) + 3O 2 (g) 2N 2 (g) + 6H 2 O(l) (a) Calculate the ΔG fr the reactin. (b) If this reactin were used in a fuel cell,

More information

Module 4: General Formulation of Electric Circuit Theory

Module 4: General Formulation of Electric Circuit Theory Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated

More information

Floating Point Method for Solving Transportation. Problems with Additional Constraints

Floating Point Method for Solving Transportation. Problems with Additional Constraints Internatinal Mathematical Frum, Vl. 6, 20, n. 40, 983-992 Flating Pint Methd fr Slving Transprtatin Prblems with Additinal Cnstraints P. Pandian and D. Anuradha Department f Mathematics, Schl f Advanced

More information

Structural mechanics of wood composite materials h Ultrasonic evaluation of internal bond strength during an accelerated aging test

Structural mechanics of wood composite materials h Ultrasonic evaluation of internal bond strength during an accelerated aging test J Wd Sci (1998) 44:348-353 The Japan Wd Research Sciety 1998 Yu-Gu Sun Takanri Arima Structural mechanics f wd cmpsite materials h Ultrasnic evaluatin f internal bnd strength during an accelerated aging

More information

Fields and Waves I. Lecture 3

Fields and Waves I. Lecture 3 Fields and Waves I ecture 3 Input Impedance n Transmissin ines K. A. Cnnr Electrical, Cmputer, and Systems Engineering Department Rensselaer Plytechnic Institute, Try, NY These Slides Were Prepared by

More information

Effects of Hydrogen Annealing on MOS Oxides

Effects of Hydrogen Annealing on MOS Oxides Jurnal f Electrnic Materials, Vl. 21, N. 7, 1992 Effects f Hydrgen Annealing n MOS Oxides N. S. SAKS and J. M. ANDREWS Cde 6813, Naval Research Labratry, Washingtn, D.C. 20375 The effects f annealing MOS

More information

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?

Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string? Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)

More information

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates

Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates Heat Management Methdlgy fr Successful UV Prcessing n Heat Sensitive Substrates Juliet Midlik Prime UV Systems Abstract: Nw in 2005, UV systems pssess heat management cntrls that fine tune the exthermic

More information

OTHER USES OF THE ICRH COUPL ING CO IL. November 1975

OTHER USES OF THE ICRH COUPL ING CO IL. November 1975 OTHER USES OF THE ICRH COUPL ING CO IL J. C. Sprtt Nvember 1975 -I,," PLP 663 Plasma Studies University f Wiscnsin These PLP Reprts are infrmal and preliminary and as such may cntain errrs nt yet eliminated.

More information

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada

Chapter 39. A GUIDE TO THE DESIGN OP AIR BUBBLERS FOR MELTING ICE Simon Ince Hydraulics Section, National Research Council Ottawa, Canada Chapter 39 A GUIDE T THE DESIGN P AIR BUBBLERS FR MELTING ICE Simn Ince Hydraulics Sectin, Natinal Research Cuncil ttawa, Canada INTRDUCTIN The use f air bubblers fr maintaining ice-free areas in lakes

More information

Chapter 30. Inductance

Chapter 30. Inductance Chapter 30 nductance 30. Self-nductance Cnsider a lp f wire at rest. f we establish a current arund the lp, it will prduce a magnetic field. Sme f the magnetic field lines pass thrugh the lp. et! be the

More information

MEISSNER-OCHSANFELD EFFECT AND A SEARCH FOR. TRANSITION TEMPERATURE FOR YBa 2 Cu 3 O 7. Baris Cetin. Department ofphysics

MEISSNER-OCHSANFELD EFFECT AND A SEARCH FOR. TRANSITION TEMPERATURE FOR YBa 2 Cu 3 O 7. Baris Cetin. Department ofphysics MEISSNER-OCHSANFELD EFFECT AND A SEARCH FOR TRANSITION TEMPERATURE FOR YBa 2 Cu 3 O 7 Baris Cetin Department fphysics Purdue University, West Lafayette, In 47907 Abstract A simple way f measuring the transitin

More information

CHM112 Lab Graphing with Excel Grading Rubric

CHM112 Lab Graphing with Excel Grading Rubric Name CHM112 Lab Graphing with Excel Grading Rubric Criteria Pints pssible Pints earned Graphs crrectly pltted and adhere t all guidelines (including descriptive title, prperly frmatted axes, trendline

More information

ACS Publications (American Chemical Society) /ef050294f

ACS Publications (American Chemical Society) /ef050294f Prvided by the authr(s) and NUI Galway in accrdance with publisher plicies. Please cite the published versin when available. Title Cmparisn f the flurescence behavir f a bicrude il and crude petrleum ils

More information

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review

CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review Review Accrding t the nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system

More information