New Results from the GlobusM Spherical Tokamak


 Randall Evans
 4 years ago
 Views:
Transcription
1 New Results from the GlousM Sphericl Tokmk V.K. Gusev 1), V.M. Amoskov ), A.S. Anniev 1), E.A. Azizov 3), A.G. Brsukov ), V.A. Belykov ), S.E. Bender ), I.N. Chugunov 1), A.V. Dech 1), V.V. Dychenko 1), V.E. Golnt 1), M.A. Irzk 1), S.V. Krikunov 1), Yu.A. Kostsov ), E.A. Kuznetsov 3), V.M. Leonov ), R.G. Levin 1), S.Yu. Medvedev ), V.B. Minev 1), A.B. Mineev ), O.A. Minyev 1), E.E. Mukhin 1), A.N. Novokhtskii 1), M.I. Ptrov 1), A.A. Petrov 3), V.G. Petrov 3), Yu.V. Petrov 1), K.A. Podushnikov 1), V.V. Rozhdestvenskii 1), N.V. Skhrov 1), O.N. Shcherinin 1), V.N. Scheritskii 3), E.I. Terukov 1), G.N. Tilinin ), S.Yu. Tolstykov 1), V.I. Vsiliev ), M.I. Vildjuns 1), N.I. Vinogrdov 1), A.V. Voronin 1), V.A. Ygnov 3) 1) A.F. Ioffe PhysicoTechnicl Institute, St. Petersurg, Russi ) D.V. Efremov Reserch Institute of Electrophysicl Apprtus, St. Petersurg, Russi 3) TRINITI, Troitsk, Moscow Region, Russi ) Nucler Fusion Institute, RRC Kurchtov Institute, Moscow, Russi ) M.V. Keldysh Institute for Applied Mthemtics, Moscow, Russi emil contct of min uthor: Vsily.Gusev@mil.ioffe.ru Astrct. New results from the GlousM sphericl tokmk re presented. High plsm current of.36 MA, high toroidl mgnetic field of. T nd other importnt plsm chrcteristics were chieved. Descried re the opertionl spce nd plsm stility limits in the OH regime. The fctors limiting opertionl spce (MHD instilities, runwy electrons, etc.) re discussed. New experiments on plsm fuelling re descried. First results of experiments with coxil plsm gun injector re presented. Initil results of plsm wll interction study re outlined. First results otined with new dignostic tools instlled on the tokmk re presented. An uxiliry heting system test ws performed. Preliminry results of simultions nd experiments re given. 1. Introduction. GlousM is the first Russin sphericl tokmk (ST), commissioned in 1999 t the A.F. Ioffe Institute, St. Petersurg. Recently the chieved prmeters in the OH regime were significntly improved through progress in vcuum technology, power supplies nd control system modifiction. A plsm current vlue of.36 MA ws otined with centrl solenoid poloidl flux of.3 W, oth vlues eing out 7% of the design vlue. The mgnetic field strength reched. T (9%). The progress in plsm current mplitude nd durtion increse since 1999 is shown in Fig.1. The plsm current rmpup rte reched 17 MA/s. The vlue of the EjimWesley coefficient ws K EW.66 in dischrges with optimized prmeters. The prmeters chieved in the lst two yers in the OH regime re dequte for trnsition to uxiliry heting nd et limit study. The properties of OH plsms, with emphsis on opertionl limits nd experimentl tools for plsm performnce increse, re descried elow in detil.,s N$ D F E 7LPH PV FIG.1. Plsm current evolution in the OH regime due to progress in vcuum conditioning nd power supply technology. () cpcitor tteries, () thyristor rectifiers in single swing nd (c) in doule swing regime. F
2 . Opertionl spce nd stility limits. The opertionl spce of GlousM in the OH regime is presented in Fig.. There re three wellknown orders limiting the opertionl spce: the low q, low density (runwys) nd high density (Greenwld) orders. The two density orders re shown in the figure s stright lines. The high density limit ehvior in the OH regime looks similr to tht of other STs, e.g. START [1]. In the experiments with plsm fuelling y gs puff from the low field side, it ws possile to come close to the Greenwld limit (n/n Gr.8) t lower plsm current nd t the current rmpdown phse. Further density increse ws limited, presumly, y resistive, low n MHD modes. However, due to the higher mgnetic field in GlousM, the solute vlue of chieved verge density ws high enough, (7 8) 1 19 m 3. The low density order of opertionl spce is defined y runwy ehvior. The ehvior of runwys in STs differs from conventionl tokmks due to strong toroidl electric field vrition cross the plsm column (E // ~1/R) nd higher vlues of E //. It is descried in []. The min fetures of runwy ehvior in GlousM re s follows: (i) plsm current crried y runwys t low densities is not significnt, I run /I Pl 1 1%, (ii) the sptil distriution of runwy production rte nd runwy em shpe is hollow, with the mximum shifted to the periphery. This feture rodens the opertionl spce eyond the runwy order, nd limits the mximum energy of runwys (< MeV) nd their lifetime (< ms). Also, runwy genertion during mjor disruption is not recorded, in T F\O spite of the rther high prllel electric field induced during the disruption,? // 1 V/m. Plsm current mplitude ws limited y the lowest sfety fctor (q cyl.9, q 9 = ) tht could e chieved in toroidl field rmpdown experiments. The increse of plsm stility to kink (n=1,,3) nd llooning modes is explined y rodening of the plsm pressure profile in the configurtion with q() > 1 [3]. Fig.3 represents the plsm prmeter ehvior in the toroidl field rmpdown experiment, during which the toroidl et β T 1% ws chieved. 3. Plsm fuelling experiments. First experiments on plsm fuelling with novel fuelling source were performed. The method is directed injection of plsm jet into the tokmk. To Q H % 7 P 7 D]XPRYD OLPLW *UHHQZDOG OLPLW FIG.. Opertionl spce (Hugill digrm) of OH regime in GlousM. Ip (ka) B (mt) (. u.) q 9 li et, % et 3 ,,,,7,6, 1 1 Plsm Current Mirnov Signl Ed ge sfety f cto r q 9 (EFIT) In te rnl Ind u ct nc e Normlized Bet Toroidl et Toroidl Field FIG.3. Time evolution of sfety fctor, QRUPDOL]HG DQG WRURLGDO GXULQJ WRURLGDO ILHOG rmpdwn experiment.
3 penetrte deep into the mgnetic field, the plsm jet hs to hve high plsm density nd high directed velocity. This mens tht the prticle collision frequency in the jet plsm must e higher thn the cyclotron frequency. Also, the specific kinetic energy must e high s compred with the mgnetic field pressure. For the experiments in GlousM (B T. T), the density of the injected plsm must e higher thn 1 1 m 3 nd velocity of ~7 km/s must e chieved. A doule stge source (plsm gun) [] ws used in the experiment. The source genertes jet of plsm with density exceeding 1 m 3 with totl numer of chrged prticles in the rnge of The pulse durtion is. ms nd the ioniztion efficiency reches 9%. The jet velocity of the hydrogen plsm vried etween 1 nd km/s. Although this ws lower thn necessry for penetrtion, the experimentl results showed significnt difference from conventionl fuelling methods. Fig. demonstrtes plsm initition with the help of the injector. Insted of the gs puff used in the conventionl scenrio (lso shown in Fig.), plsm jet ws injected into the empty vcuum vessel shortly efore inductive voltge ws pplied. One cn see tht the plsm I (ka) Plsm current, Shot 3386, nl,1 1 (cm  ) U (V) U (V) Line integrted density, R = cm 1 Tp  Mirnov signl Mirnov signl FIG.. Inductive plsm initition with different fuelling methods:  ZLWK SODVPD LQMHFWLRQ û7 p  time of the plsm gun shot),  with gs puffing prefill. I (ka) nl,1 1(cm) nl,1 1(cm) nl,1 1 (cm  ) Plsm current, Shot 3381, 3389 Tg Tp Line integrted density, R = cm Line integrted density, R = cm Line integrted density, R = cm FIG.. Comprison of the plsm injection () to the gs SXII E IXHOOLQJ PHWKRGV û7 g  gs puff intervl, û7 p  plsm gun shot. FIG.6. Penetrtion of the plsm jet with km/s speed into toroidl mgnetic fields of different strength (from left to right B T () = T,. T,.1 T,. T).
4 current rmps up fster nd to higher vlue t the sme loop voltge (sme mgnetic flux consumption). It is lso seen tht mgnetic turulence during current rmpup is lower in the cse of injection. Fig. shows plsm density wveforms during gspuff fuelling nd plsm jet injection into n OH dischrge. It is seen tht density increses in ~. ms fter injection compred to ~1 ms during gs puff. Fig.6 shows video frmes of plsm jet injection into the empty vessel of GlousM with only toroidl mgnetic field pplied. One cn see the deeper penetrtion of plsm jet with equl velocities into the lower toroidl field. The effect of plsm jet current interction with nonhomogeneous mgnetic field (the plsm em is pushed to the lower B T region) is lso seen in the photos.. Plsm wll interction study. Experiments re imed to optimize the choice of mteril for the invessel protection pltes (cron or tungsten) nd increse the effectiveness of the oroniztion technology. For this purpose, the investigtion of the fundmentl properties of films deposited onto vessel wlls during oroniztion nd study of invessel mteril redeposition hs strted. First results re presented in []. It ws found tht n morphous film structure is creted fter oroniztion. It contins oron, cron nd hydrogen. The hydrogen content goes down with king. The physicl properties of the film re like those of semiconductors. The next nlysis will e done fter few hundred plsm shots. Essentil chnges of the initil film structure re expected. Preliminry dt (need to e confirmed) showed the cretion of dimondlike film t the surfce of silicon proes plced in the Xpoint region.. Plsm dignostics development. New dignostic systems hve een instlled, including poloidl rry of Mirnov coils (8 units); four chnnel pyroelectric olometer for rdition loss recording; time of flight (rdr) reflectometer for edge density profile recording in the rnge of m 3. A pper on new dignostic tools is under preprtion. Fig.7 shows the density profile vrition recorded y rdr reflectometer during injection of plsm jet. One cn see drmtic chnge in peripheril density ehvior following the injection pulse. The density grdient recorded y the device incresed ~3. times during 1 ms. The Thomson scttering system is under finl ssemly. A lser pulse trin from the proing lser output is shown in Fig.8. FIG.7. Density profile vrition in shot # 367 recorded y rdr reflectometer during injection of plsm jet t 6. ms. khz 66Hz khz FIG.8. Thomson scttering proing lser pulse trin of pulses with vrile repetition rte. Averge output energy ~ J/pulse. 6. Auxiliry plsm heting. One of the RF plsm heting scenrios of GlousM is nonresonnt trnsit time mgnetic pumping (TTMP) sorption of fst mgnetosonic wve t ω/ω ci 81 (HHFW heting). To simulte the propgtion nd sorption of the plsm wves in the higher ion cyclotron hrmonic frequency rnge in STs, fullwve electromgnetic code is under development. A simultion model is descried in [6]. As
5 result of simultions, the RF field distriution in the plsm volume nd RF power sorption cn e computed. Fig.9 represents the sored RF power density verged on ech mgnetic surfce for the GlousM conditions. First ntennplsm mtching experiments were performed in GlousM utilizing set of equipment developed for the RF heting progrm. It consists of n RF genertor of ion cyclotron frequency rnge, 7 MHz, with ultimte power up to 1. MW. Pulse durtion is up to ms. The single strip ntenn is supplied with Frdy screen, protected y oron nitride nd instlled into the vcuum vessel. In the first experiments, input RF power through one ntenn will not exceed kw. Two stus produce ntenn mtching with the plsm nd the genertor mechniclly step y step. The results of one of the first, low power ( kw) shots re shown in Fig.1. Assemly of the NB injector for the energy of 3 kev nd 1. MW power hs een completed. Numericl simultions of neutrl em sorption y the GlousM plsm were performed. The first em of deuterium neutrls with power level of ~. MW ws otined flux coordinte 7. Conclusions. The GlousM ST could stly operte in wide rnge of densities nd sfety fctor vlues. The plsm creted during n ohmic heting dischrge hs ll the necessry fetures for the trget plsm to e used in uxiliry heting, high et experiments. A possile wy to increse OH plsm performnce is connected with development of plsm fuelling methods nd deeper investigtion of plsmwll interction processes. The first results on plsm fuelling showed the necessity to increse plsm jet velocity to 7 1 km/s nd the numer of prticles to 1, which will e done soon. Unlike the compct toroid injection method, plsm jet does not contin noticele impurities, which results in lower plsm impurity flux. New dignostic tools hve een commissioned nd first dt re encourging. Auxiliry heting experiments hve egun. The work is supported y the Ministry of Industry, Science nd Technology nd the Ministry of Atomic Energy of the Russin Federtion, s well s y RFBR grnts , , nd [1] A. Sykes, Tech. Physics, (1999) 17. [] V.K. Gusev, et l., Proc. of 9 th EPS Conf. on Plsm Phys. nd Contr. Fusion, Montreux, P.1 (). [3] V.K. Gusev, et l., Proc. of 8 th EPS Conf. on Contr. Fusion nd Plsm Phys., Funchl, ECA, vol.a (1) [] A.V. Voronin, K.G. Helllom, Plsm Phys. nd Contr. Fusion, 3 (1) 183. [] N.V. Skhrov, et l., Proc. of 9 th EPS Conf. on Plsm Phys. nd Contr. Fusion, Montreux, P.78 (). [6] V.K. Gusev, et l., Proc. of nd IAEATCM on Sphericl Tori nd 17 th Int. Sphericl Torus Workshop, São José dos Cmpos, SP, Brzil (1). sored RF power density,.u. 1 FIG.9. Asored RF power density verged on ech mgnetic surfces for B T =.6 T, I P =.3 MA, n e ()=1 m 3, T e ()=. kev, k=1.8, δ=.16, f=3 MHz. Plsm current (ka); shot #377 1 Integrl plsm density (1E18mE) 1 Incident RF power (.u.) Reflected RF power (.u.) Hlf emission (.u.) CIII emission (.u.) FIG.1. Evolution of plsm prmeters during the ntennplsm mtching experiment. B T ()=. T, f= MHz, P RF = kw.
Latest Results from the GlobusM Spherical Tokamak
Latest Results from the GlobusM Spherical Tokamak Yu.V. Petrov 1, A.G. Barsukov 2, V.K. Gusev 1, F.V. Chernyshev 1, I.N. Chugunov 1, V.E. Golant 1, V.V. Dyachenko 1, L.A. Esipov 1, V.G. Kapralov 3, S.V.
More informationMinimum Energy State of Plasmas with an Internal Transport Barrier
Minimum Energy Stte of Plsms with n Internl Trnsport Brrier T. Tmno ), I. Ktnum ), Y. Skmoto ) ) Formerly, Plsm Reserch Center, University of Tsukub, Tsukub, Ibrki, Jpn ) Plsm Reserch Center, University
More informationAN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS
AN IMPROVED SMALL CLOSED DRIFT THRUSTER WITH BOTH CONDUCTING AND DIELECT RIC CHANNELS A.I.Bugrov, A.D.Desitskov, H.R.Kufmn, V.K.Khrchevnikov, A.I.Morozov c, V.V.Zhurin d Moscow Institute of Rdioelectronics,
More informationFully Kinetic Simulations of Ion Beam Neutralization
Fully Kinetic Simultions of Ion Bem Neutrliztion Joseph Wng University of Southern Cliforni Hideyuki Usui Kyoto University Emil: josephjw@usc.edu; usui@rish.kyotou.c.jp 1. Introduction Ion em emission/neutrliztion
More informationPlasma Internal Inductance in Presence of Toroidal Field Ripple of Tokamak
Journl of Nucler nd Prticle Physics 13, 3(4): 1115 O: 1.593/j.jn.1334.9 Plsm nternl nductnce in Presence of Toroidl Field Rile of Tokmk A. Slr Elhi *, M. Ghornneviss Plsm Physics Reserch Center, Science
More informationDECAMETER RADIO EMISSION OF THE SUN: RECENT OBSERVATIONS
DECAMETER RADIO EMISSION OF THE SUN: RECENT OBSERVATIONS V. N. Melnik *,H.O.Rucker, A. A. Konovlenko, V. V. Dorovskyy, E. P. Abrnin, nd A. Leccheux Abstrct We present n overview of the recent results in
More informationNUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL
NUMERICAL SIMULATION OF FRONTAL MIXED CLOUD SYSTEMS AND CLOUD MICROSTRUCTURE EFFECT ON SATELLITE SIGNAL V. Bkhnov, O. Kryvook, B. Dormn Ukrinin Hydrometeorologicl Reserch Institute, Avenue of Science 37,
More informationThermal Stability of TiCNiCr and TiCNiCrAlSi Nanocomposite Coatings
Journl of Physics: Conference Series PAPER OPEN ACCESS Therml Stility of TiCNiCr nd TiCNiCrAlSi Nnocomposite Cotings To cite this rticle: A V Andreev et l 2015 J. Phys.: Conf. Ser. 652 012057 View
More informationSummary of equations chapters 7. To make current flow you have to push on the charges. For most materials:
Summry of equtions chpters 7. To mke current flow you hve to push on the chrges. For most mterils: J E E [] The resistivity is prmeter tht vries more thn 4 orders of mgnitude between silver (.6E8 Ohm.m)
More informationDirect indirect character of the band gap in methylammonium lead iodide perovskite
Direct indirect chrcter of the nd gp in methylmmonium led iodide perovskite Eline M. Hutter 1, Mrí C. GélvezRued 1, Ann Osherov 2, Vldimir Bulović 2, Ferdinnd C. Grozem 1, Smuel D. Strnks 2,3*, nd Tom
More informationSome parameters of varicaps with gradient base area based on Shottky barrier
ISSN: 3538 Vol. 4, Issue, December 7 Some prmeters of vricps with grdient bse re bsed on Shottky brrier Mmtkrimov O.O., KuchkrovB.Kh. Rector, Nmngn engineeringtechnology institute, Kosonsoy str.,7, Nmngn,
More information#6A&B Magnetic Field Mapping
#6A& Mgnetic Field Mpping Gol y performing this lb experiment, you will: 1. use mgnetic field mesurement technique bsed on Frdy s Lw (see the previous experiment),. study the mgnetic fields generted by
More informationG. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2 D. URSUŢIU 2
PRELIMINARY EXPERIMENTS OF THE NEW FACILITY AND TECHNOLOGY FOR VACUUM DRYING AND THERMAL POLIMERIZATION OF THE TURBOGENERATORS STATOR BARS INSULATION (INTEPOL) G. MATEESCU 1 A. MATEESCU 1 C. SAMOILĂ 2
More informationEnergy (kcal mol 1 ) Force (kcal mol 1 Å 1 ) Pore axis (Å) Mixed Moonly Sonly Graphene
Force (kcl mol 1 Å 1 ) Energy (kcl mol 1 ) 3 11  3 Mixed Moonly Sonly Grphene 6 5 3 1 Mixed Moonly Sonly Grphene  11 1 Pore xis (Å) 1 1 Pore xis (Å) Supplementry Figure 1 Energy Brriers.
More informationPhysics 1402: Lecture 7 Today s Agenda
1 Physics 1402: Lecture 7 Tody s gend nnouncements: Lectures posted on: www.phys.uconn.edu/~rcote/ HW ssignments, solutions etc. Homework #2: On Msterphysics tody: due Fridy Go to msteringphysics.com Ls:
More informationANALYSIS OF FAST REACTORS SYSTEMS
ANALYSIS OF FAST REACTORS SYSTEMS M. Rghe 4/7/006 INTRODUCTION Fst rectors differ from therml rectors in severl spects nd require specil tretment. The prsitic cpture cross sections in the fuel, coolnt
More informationMethod of Localisation and Controlled Ejection of Swarms of Likely Charged Particles
Method of Loclistion nd Controlled Ejection of Swrms of Likely Chrged Prticles I. N. Tukev July 3, 17 Astrct This work considers Coulom forces cting on chrged point prticle locted etween the two coxil,
More informationAMPERE CONGRESS AMPERE on Magnetic Resonance and Related Phenomena. Under the auspices of The GROUPEMENT AMPERE
AMPERE 2000 th 30 CONGRESS AMPERE on Mgnetic Resonnce nd Relted Phenomen Lison, Portugl, 232 July 2000 Under the uspices of The GROUPEMENT AMPERE Edited y: A.F. MARTINS, A.G. FEIO nd J.G. MOURA Sponsoring
More informationThe Influence of Interface and Semiconductor Bulk Traps Generated Under HEFS on MOSFET`s Electrical Characteristics
Proceedings of the 5th Smll Systems Simultion Symposium 2014, Niš, Seri, 12th14th Ferury 2014 The Influence of Interfce nd Semiconductor Bulk Trps Generted Under HEFS on MOSFET`s Electricl Chrcteristics
More informationMeasuring Electron Work Function in Metal
n experiment of the Electron topic Mesuring Electron Work Function in Metl Instructor: 梁生 Office: 7318 Emil: shling@bjtu.edu.cn Purposes 1. To understnd the concept of electron work function in metl nd
More information200 points 5 Problems on 4 Pages and 20 Multiple Choice/Short Answer Questions on 5 pages 1 hour, 48 minutes
PHYSICS 132 Smple Finl 200 points 5 Problems on 4 Pges nd 20 Multiple Choice/Short Answer Questions on 5 pges 1 hour, 48 minutes Student Nme: Recittion Instructor (circle one): nme1 nme2 nme3 nme4 Write
More informationpotentials A z, F z TE z Modes We use the e j z z =0 we can simply say that the x dependence of E y (1)
3e. Introduction Lecture 3e Rectngulr wveguide So fr in rectngulr coordintes we hve delt with plne wves propgting in simple nd inhomogeneous medi. The power density of plne wve extends over ll spce. Therefore
More informationLecture 13  Linking E, ϕ, and ρ
Lecture 13  Linking E, ϕ, nd ρ A Puzzle... InnerSurfce Chrge Density A positive point chrge q is locted offcenter inside neutrl conducting sphericl shell. We know from Guss s lw tht the totl chrge on
More informationSpecial Relativity solved examples using an Electrical Analog Circuit
1115 Specil Reltivity solved exmples using n Electricl Anlog Circuit Mourici Shchter mourici@gmil.com mourici@wll.co.il ISRAE, HOON 5454855 Introduction In this pper, I develop simple nlog electricl
More informationSOUND INTENSITY PROBE CALIBRATOR FOR FIELD USE: CALCULATING THE SOUND FIELD IN THE CALIBRATOR USING BOUNDARY ELEMENT MODELLING
Pge 1 of 1 SOUND INTENSITY PROBE CALIBRATOR FOR FIELD USE: CALCULATING THE SOUND FIELD IN THE CALIBRATOR USING BOUNDARY ELEMENT MODELLING PACS REFERENCE: 43.58 Fm Ginn, Bernrd; Olsen,Erling; Cutnd,Vicente;
More informationProblem 1. Solution: a) The coordinate of a point on the disc is given by r r cos,sin,0. The potential at P is then given by. r z 2 rcos 2 rsin 2
Prolem Consider disc of chrge density r r nd rdius R tht lies within the xyplne. The origin of the coordinte systems is locted t the center of the ring. ) Give the potentil t the point P,,z in terms of,r,
More informationDesigning Information Devices and Systems I Spring 2018 Homework 7
EECS 16A Designing Informtion Devices nd Systems I Spring 2018 omework 7 This homework is due Mrch 12, 2018, t 23:59. Selfgrdes re due Mrch 15, 2018, t 23:59. Sumission Formt Your homework sumission should
More informationEX/73Rb. Elimination of the NonAxisymmetric interelm Heat Flux Generated by Resonant Magnetic Perturbations in High Density Divertor Conditions
1 Elimintion of the NonAxisymmetric interelm Het Flux Generted y Resonnt Mgnetic Perturtions in High Density Divertor Conditions A.R. Briesemeister 1, J.W. Ahn 1, J.M. Cnik 1, M.E. Fenstermcher 2, H.
More informationBend Forms of Circular Saws and Evaluation of their Mechanical Properties
ISSN 139 13 MATERIALS SCIENCE (MEDŽIAGOTYRA). Vol. 11, No. 1. 5 Bend Forms of Circulr s nd Evlution of their Mechnicl Properties Kristin UKVALBERGIENĖ, Jons VOBOLIS Deprtment of Mechnicl Wood Technology,
More informationarxiv:hepex/ v1 12 Sep 1998
Evidence of the φ ηπ γ decy rxiv:hepex/9891v1 12 Sep 1998 Astrct M.N.Achsov, V.M.Aulchenko, S.E.Bru, A.V.Berdyugin, A.V.Bozhenok, A.D.Bukin, D.A.Bukin, S.V.Burdin, T.V.Dimov, S.I.Dolinski, V.P.Druzhinin,
More informationMotion of Electrons in Electric and Magnetic Fields & Measurement of the Charge to Mass Ratio of Electrons
n eperiment of the Electron topic Motion of Electrons in Electric nd Mgnetic Fields & Mesurement of the Chrge to Mss Rtio of Electrons Instructor: 梁生 Office: 7318 Emil: shling@bjtu.edu.cn Purposes 1.
More informationCAPACITORS AND DIELECTRICS
Importnt Definitions nd Units Cpcitnce: CAPACITORS AND DIELECTRICS The property of system of electricl conductors nd insultors which enbles it to store electric chrge when potentil difference exists between
More informationFEM ANALYSIS OF ROGOWSKI COILS COUPLED WITH BAR CONDUCTORS
XIX IMEKO orld Congress Fundmentl nd Applied Metrology September 6 11, 2009, Lisbon, Portugl FEM ANALYSIS OF ROGOSKI COILS COUPLED ITH BAR CONDUCTORS Mirko Mrrcci, Bernrdo Tellini, Crmine Zppcost University
More informationIntroduction to Electronic Circuits. DC Circuit Analysis: Transient Response of RC Circuits
Introduction to Electronic ircuits D ircuit Anlysis: Trnsient esponse of ircuits Up until this point, we hve een looking t the Stedy Stte response of D circuits. StedyStte implies tht nothing hs chnged
More information 5  TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students.
 5  TEST 2 This test is on the finl sections of this session's syllbus nd should be ttempted by ll students. Anything written here will not be mrked.  6  QUESTION 1 [Mrks 22] A thin nonconducting
More informationPhysics 712 Electricity and Magnetism Solutions to Final Exam, Spring 2016
Physics 7 Electricity nd Mgnetism Solutions to Finl Em, Spring 6 Plese note tht some possibly helpful formuls pper on the second pge The number of points on ech problem nd prt is mrked in squre brckets
More informationEnergy creation in a moving solenoid? Abstract
Energy cretion in moving solenoid? Nelson R. F. Brg nd Rnieri V. Nery Instituto de Físic, Universidde Federl do Rio de Jneiro, Cix Postl 68528, RJ 21941972 Brzil Abstrct The electromgnetic energy U em
More informationExam 1 Solutions (1) C, D, A, B (2) C, A, D, B (3) C, B, D, A (4) A, C, D, B (5) D, C, A, B
PHY 249, Fll 216 Exm 1 Solutions nswer 1 is correct for ll problems. 1. Two uniformly chrged spheres, nd B, re plced t lrge distnce from ech other, with their centers on the x xis. The chrge on sphere
More informationIndustrial Electrical Engineering and Automation
CODEN:LUTEDX/(TEIE719)/17/(7) Industril Electricl Engineering nd Automtion Estimtion of the Zero Sequence oltge on the D side of Dy Trnsformer y Using One oltge Trnsformer on the Dside Frncesco Sull
More informationDesigning finite automata II
Designing finite utomt II Prolem: Design DFA A such tht L(A) consists of ll strings of nd which re of length 3n, for n = 0, 1, 2, (1) Determine wht to rememer out the input string Assign stte to ech of
More informationHints for Exercise 1 on: Current and Resistance
Hints for Exercise 1 on: Current nd Resistnce Review the concepts of: electric current, conventionl current flow direction, current density, crrier drift velocity, crrier numer density, Ohm s lw, electric
More informationDesigning Information Devices and Systems I Anant Sahai, Ali Niknejad. This homework is due October 19, 2015, at Noon.
EECS 16A Designing Informtion Devices nd Systems I Fll 2015 Annt Shi, Ali Niknejd Homework 7 This homework is due Octoer 19, 2015, t Noon. 1. Circuits with cpcitors nd resistors () Find the voltges cross
More informationRemarks to the Hmode workshop paper
2 nd ITPA Confinement Dtbse nd Modeling Topicl Group Meeting, Mrch 1114, 2002, Princeton Remrks to the Hmode workshop pper The development of twoterm model for the confinement in ELMy Hmodes using
More informationarxiv: v1 [physics.plasmph] 11 Sep 2018
Identifiction of coupling mechnisms etween ultrintense lser light nd dense plsms rxiv:189.393v1 [physics.plsmph] 11 Sep 218 L. Chopineu, 1 A. Lelnc, 1 G. Blclrd, 1, 2 A. Denoeud, 1 M. Thévenet, 2 JL.
More informationPHYSICS ASSIGNMENT9
MPS/PHYXII11/A9 PHYSICS ASSIGNMENT9 *********************************************************************************************************** 1. A wire kept long the northsouth direction is llowed
More informationDIRECT CURRENT CIRCUITS
DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through
More informationTransmitterreceivertransmitter configurations of groundpenetrating radar
RADIO SCIENCE, VOL. 37, NO. 3, 1033, 10.1029/2001RS002500, 2002 Trnsmitterreceivertrnsmitter configurtions of groundpenetrting rdr Levent Gürel nd Uğur Oğuz Deprtment of Electricl nd Electronics Engineering,
More information25 Which of the following summarises the change in wave characteristics on going from infrared to ultraviolet in the electromagnetic spectrum?
PhysicsndMthsTutor.com 25 Which of the following summrises the chnge in wve chrcteristics on going from infrred to ultrviolet in the electromgnetic spectrum? 972//M/J/2 frequency speed (in vcuum) decreses
More informationMath 1B, lecture 4: Error bounds for numerical methods
Mth B, lecture 4: Error bounds for numericl methods Nthn Pflueger 4 September 0 Introduction The five numericl methods descried in the previous lecture ll operte by the sme principle: they pproximte the
More informationThis chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2
1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion
More informationTemperature influence compensation in microbolometer detector for image quality enhancement
.26/qirt.26.68 Temperture influence compenstion in microolometer detector for imge qulity enhncement More info out this rticle: http://www.ndt.net/?id=2647 Astrct y M. Krupiński*, T. Sosnowski*, H. Mdur*
More informationCreating A New Planck s Formula of Spectral Density of Blackbody Radiation by Means of AF(A) Diagram
nd Jogj Interntionl Physics Conference Enhncing Network nd Collortion Developing Reserch nd Eduction in Physics nd Nucler Energy Septemer 69, 007, YogykrtIndonesi Creting A New Plnck s Formul of Spectrl
More informationModelling of the near infrared radiation pulse propagation in biological tissues for medical imaging application
JOURNAL OF INTENSE PULSED LASERS AND APPLICATIONS IN ADVANCED PHYSICS Vol. 3, No. 4, p. 445 Modelling of the ner infrred rdition pulse propgtion in biologicl tissues for medicl imging ppliction A. SAOULI
More informationSilicon Nanowire Based SingleMolecule SERS Sensor
Supporting informtion Silicon Nnowire Bsed SingleMolecule SERS Sensor Hui Wng, Xuemei Hn, Xuemei Ou, ChunSing Lee, Xiohong Zhng* nd ShuitTong Lee S1, A series of Si nnowires coted with compct ggregtes
More informationFORM FIVE ADDITIONAL MATHEMATIC NOTE. ar 3 = (1) ar 5 = = (2) (2) (1) a = T 8 = 81
FORM FIVE ADDITIONAL MATHEMATIC NOTE CHAPTER : PROGRESSION Arithmetic Progression T n = + (n ) d S n = n [ + (n )d] = n [ + Tn ] S = T = T = S S Emple : The th term of n A.P. is 86 nd the sum of the first
More informationSupplementary Figure 1
Supplementry Figure (nesthetized) (wke) Normlized mplitude.5 Pek width (ms).6.4.2 4 2 2 x 3 Wveform slope Normlized mplitude.5 Pek width (ms).6.4.2 x 3 3 2 Wveform slope c (nesthetized) d (wke) Normlized
More informationProblem Solving 7: Faraday s Law Solution
MASSACHUSETTS NSTTUTE OF TECHNOLOGY Deprtment of Physics: 8.02 Prolem Solving 7: Frdy s Lw Solution Ojectives 1. To explore prticulr sitution tht cn led to chnging mgnetic flux through the open surfce
More informationIntro to Nuclear and Particle Physics (5110)
Intro to Nucler nd Prticle Physics (5110) Feb, 009 The Nucler Mss Spectrum The Liquid Drop Model //009 1 E(MeV) n n(n1)/ E/[ n(n1)/] (MeV/pir) 1 C 16 O 0 Ne 4 Mg 7.7 14.44 19.17 8.48 4 5 6 6 10 15.4.41
More informationPhysics Graduate Prelim exam
Physics Grdute Prelim exm Fll 2008 Instructions: This exm hs 3 sections: Mechnics, EM nd Quntum. There re 3 problems in ech section You re required to solve 2 from ech section. Show ll work. This exm is
More informationDesigning Information Devices and Systems I Discussion 8B
Lst Updted: 20181017 19:40 1 EECS 16A Fll 2018 Designing Informtion Devices nd Systems I Discussion 8B 1. Why Bother With Thévenin Anywy? () Find Thévenin eqiuvlent for the circuit shown elow. 2kΩ 5V
More informationEmission of K , L  and M  Auger Electrons from Cu Atoms. Abstract
Emission of K , L  nd M  uger Electrons from Cu toms Mohmed ssd bdelrouf Physics Deprtment, Science College, UEU, l in 17551, United rb Emirtes ssd@ueu.c.e bstrct The emission of uger electrons from
More informationReview of Gaussian Quadrature method
Review of Gussin Qudrture method Nsser M. Asi Spring 006 compiled on Sundy Decemer 1, 017 t 09:1 PM 1 The prolem To find numericl vlue for the integrl of rel vlued function of rel vrile over specific rnge
More informationMathematics. Area under Curve.
Mthemtics Are under Curve www.testprepkrt.com Tle of Content 1. Introduction.. Procedure of Curve Sketching. 3. Sketching of Some common Curves. 4. Are of Bounded Regions. 5. Sign convention for finding
More informationVersion 001 HW#6  Electromagnetic Induction arts (00224) 1 3 T
Version 001 HW#6  lectromgnetic Induction rts (00224) 1 This printout should hve 12 questions. Multiplechoice questions my continue on the next column or pge find ll choices efore nswering. AP 1998
More informationContinuous Random Variables Class 5, Jeremy Orloff and Jonathan Bloom
Lerning Gols Continuous Rndom Vriles Clss 5, 8.05 Jeremy Orloff nd Jonthn Bloom. Know the definition of continuous rndom vrile. 2. Know the definition of the proility density function (pdf) nd cumultive
More informationPhysics 2135 Exam 1 February 14, 2017
Exm Totl / 200 Physics 215 Exm 1 Ferury 14, 2017 Printed Nme: Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the est or most nerly correct nswer. 1. Two chrges 1 nd 2 re seprted
More information13: Diffusion in 2 Energy Groups
3: Diffusion in Energy Groups B. Rouben McMster University Course EP 4D3/6D3 Nucler Rector Anlysis (Rector Physics) 5 Sept.Dec. 5 September Contents We study the diffusion eqution in two energy groups
More informationADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS
ADVANCEMENT OF THE CLOSELY COUPLED PROBES POTENTIAL DROP TECHNIQUE FOR NDE OF SURFACE CRACKS F. Tkeo 1 nd M. Sk 1 Hchinohe Ntionl College of Technology, Hchinohe, Jpn; Tohoku University, Sendi, Jpn Abstrct:
More informationIMPORTANT. Read these directions carefully:
Physics 208: Electricity nd Mgnetism Finl Exm, Secs. 506 510. 7 My. 2004 Instructor: Dr. George R. Welch, 415 EngineeringPhysics, 8457737 Print your nme netly: Lst nme: First nme: Sign your nme: Plese
More informationu( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 218, pp 4448): Determine the equation of the following graph.
nlyzing Dmped Oscilltions Prolem (Medor, exmple 218, pp 4448): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $
More informationThermal Diffusivity. Paul Hughes. Department of Physics and Astronomy The University of Manchester Manchester M13 9PL. Second Year Laboratory Report
Therml iffusivity Pul Hughes eprtment of Physics nd Astronomy The University of nchester nchester 3 9PL Second Yer Lbortory Report Nov 4 Abstrct We investigted the therml diffusivity of cylindricl block
More informationDETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING MOMENT INTERACTION AT MICROSCALE
Determintion RevAdvMterSci of mechnicl 0(009) 7 properties of nnostructures with complex crystl lttice using DETERMINATION OF MECHANICAL PROPERTIES OF NANOSTRUCTURES WITH COMPLEX CRYSTAL LATTICE USING
More informationVersion 001 HW#6  Electromagnetism arts (00224) 1
Version 001 HW#6  Electromgnetism rts (00224) 1 This printout should hve 11 questions. Multiplechoice questions my continue on the next column or pge find ll choices efore nswering. rightest Light ul
More information2008 Mathematical Methods (CAS) GA 3: Examination 2
Mthemticl Methods (CAS) GA : Exmintion GENERAL COMMENTS There were 406 students who st the Mthemticl Methods (CAS) exmintion in. Mrks rnged from to 79 out of possible score of 80. Student responses showed
More information5.1 How do we Measure Distance Traveled given Velocity? Student Notes
. How do we Mesure Distnce Trveled given Velocity? Student Notes EX ) The tle contins velocities of moving cr in ft/sec for time t in seconds: time (sec) 3 velocity (ft/sec) 3 A) Lel the xxis & yxis
More informationThe area under the graph of f and above the xaxis between a and b is denoted by. f(x) dx. π O
1 Section 5. The Definite Integrl Suppose tht function f is continuous nd positive over n intervl [, ]. y = f(x) x The re under the grph of f nd ove the xxis etween nd is denoted y f(x) dx nd clled the
More informationThomas Whitham Sixth Form
Thoms Whithm Sith Form Pure Mthemtics Unit C Alger Trigonometry Geometry Clculus Vectors Trigonometry Compound ngle formule sin sin cos cos Pge A B sin Acos B cos Asin B A B sin Acos B cos Asin B A B cos
More informationHomework Assignment 3 Solution Set
Homework Assignment 3 Solution Set PHYCS 44 6 Ferury, 4 Prolem 1 (Griffiths.5(c The potentil due to ny continuous chrge distriution is the sum of the contriutions from ech infinitesiml chrge in the distriution.
More information(See Notes on Spontaneous Emission)
ECE 240 for Cvity from ECE 240 (See Notes on ) Quntum Rdition in ECE 240 Lsers  Fll 2017 Lecture 11 1 Free Spce ECE 240 for Cvity from Quntum Rdition in The electromgnetic mode density in free spce is
More informationEMF Notes 9; Electromagnetic Induction ELECTROMAGNETIC INDUCTION
EMF Notes 9; Electromgnetic nduction EECTOMAGNETC NDUCTON (Y&F Chpters 3, 3; Ohnin Chpter 3) These notes cover: Motionl emf nd the electric genertor Electromgnetic nduction nd Frdy s w enz s w nduced electric
More informationImpact of the tribological characteristics on the dynamics of the ultrasonic piezoelectric motor
51 ISSN 1392 1207. MECHANIKA. 2015 Volume 21(1): 51 55 Impct of the triologicl chrcteristics on the dynmics of the ultrsonic piezoelectric motor J. Pdgursks*, R. Rukuiž**, R. Bnsevičius***, V. Jūrėns****,
More informationM344  ADVANCED ENGINEERING MATHEMATICS
M3  ADVANCED ENGINEERING MATHEMATICS Lecture 18: Lplce s Eqution, Anltic nd Numericl Solution Our emple of n elliptic prtil differentil eqution is Lplce s eqution, lso clled the Diffusion Eqution. If
More information1 Which of the following summarises the change in wave characteristics on going from infrared to ultraviolet in the electromagnetic spectrum?
Which of the following summrises the chnge in wve chrcteristics on going from infrred to ultrviolet in the electromgnetic spectrum? frequency speed (in vcuum) decreses decreses decreses remins constnt
More informationWeek 10: Line Integrals
Week 10: Line Integrls Introduction In this finl week we return to prmetrised curves nd consider integrtion long such curves. We lredy sw this in Week 2 when we integrted long curve to find its length.
More informationMASKING OF FERROMAGNETIC ELLIPTICAL SHELL IN TRANSVERSE MAGNETIC FIELD
POZNAN UNVE RSTY OF TE HNOLOGY AADE M JOURNALS No 7 Electricl Engineering Kzimierz JAKUUK* Mirosł WOŁOSZYN* Peł ZMNY* MASKNG OF FERROMAGNET ELLPTAL SHELL N TRANSVERSE MAGNET FELD A ferromgnetic oject,
More informationSection 6: Area, Volume, and Average Value
Chpter The Integrl Applied Clculus Section 6: Are, Volume, nd Averge Vlue Are We hve lredy used integrls to find the re etween the grph of function nd the horizontl xis. Integrls cn lso e used to find
More informationPhysics 2135 Exam 3 April 21, 2015
Em Totl hysics 2135 Em 3 April 21, 2015 Key rinted Nme: 200 / 200 N/A Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. C Two long stright
More informationA formula sheet and table of physical constants is attached to this paper. Linear graph paper is available.
DEPARTMENT OF PHYSICS AND ASTRONOMY Dt Provided: A formul sheet nd tble of physicl constnts is ttched to this pper. Liner grph pper is vilble. Autumn Semester 20152016 PHYSICS : 3 HOURS Answer questions
More informationSUPPLEMENTARY INFORMATION
DOI: 1.138/NMAT3984 Supplementry Informtion for Improved performnce nd stility in quntum dot solr cells through nd lignment engineering Chi Ho M. Chung 1, Ptrick R. Brown 2, Vldimir Bulović 3 & Moungi
More informationIN THE EXTENDED NAMBU JONALASINIO MODEL
THE DECAYS ( (89), (4), (7), (65), (6), (64)) IN THE EXTENDED NAMBU JONALASINIO MODEL M.. Volkov,. Nurln, Bogoliubov Lbortory of Theoreticl Physics, JINR, Dubn 498, Russi. Dubn Stte University, Dubn 498,
More information7.1 Integral as Net Change and 7.2 Areas in the Plane Calculus
7.1 Integrl s Net Chnge nd 7. Ares in the Plne Clculus 7.1 INTEGRAL AS NET CHANGE Notecrds from 7.1: Displcement vs Totl Distnce, Integrl s Net Chnge We hve lredy seen how the position of n oject cn e
More informationReview of Calculus, cont d
Jim Lmbers MAT 460 Fll Semester 200910 Lecture 3 Notes These notes correspond to Section 1.1 in the text. Review of Clculus, cont d Riemnn Sums nd the Definite Integrl There re mny cses in which some
More informationInterpreting Integrals and the Fundamental Theorem
Interpreting Integrls nd the Fundmentl Theorem Tody, we go further in interpreting the mening of the definite integrl. Using Units to Aid Interprettion We lredy know tht if f(t) is the rte of chnge of
More information13.4 Work done by Constant Forces
13.4 Work done by Constnt Forces We will begin our discussion of the concept of work by nlyzing the motion of n object in one dimension cted on by constnt forces. Let s consider the following exmple: push
More informationSignal Flow Graphs. Consider a complex 3port microwave network, constructed of 5 simpler microwave devices:
3/3/009 ignl Flow Grphs / ignl Flow Grphs Consider comple 3port microwve network, constructed of 5 simpler microwve devices: 3 4 5 where n is the scttering mtri of ech device, nd is the overll scttering
More informationConservation Law. Chapter Goal. 5.2 Theory
Chpter 5 Conservtion Lw 5.1 Gol Our long term gol is to understnd how mny mthemticl models re derived. We study how certin quntity chnges with time in given region (sptil domin). We first derive the very
More informationChapter E  Problems
Chpter E  Prolems Blinn College  Physics 2426  Terry Honn Prolem E.1 A wire with dimeter d feeds current to cpcitor. The chrge on the cpcitor vries with time s QHtL = Q 0 sin w t. Wht re the current
More informationSUPPLEMENTARY INFORMATION
doi:.38/nture8499 doi:.38/nture8499 5 6 5 4.5 Firing rte (Hz) 6765 666 58 V m (mv) 767 6866 64 c Thet power (mv ) 7369 77 7.5.8 3....9.9.4.6.6. 9 8 9 8 9 8 9 8 9 8 Supplementry Figure Firing
More informationThis final is a three hour open book, open notes exam. Do all four problems.
Physics 55 Fll 27 Finl Exm Solutions This finl is three hour open book, open notes exm. Do ll four problems. [25 pts] 1. A point electric dipole with dipole moment p is locted in vcuum pointing wy from
More informationBasic model for traffic interweave
Journl of Physics: Conference Series PAPER OPEN ACCESS Bsic model for trffic interweve To cite this rticle: Dingwei Hung 25 J. Phys.: Conf. Ser. 633 227 Relted content  Bsic sciences gonize in Turkey!
More information