Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL)

Size: px
Start display at page:

Download "Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL)"

Transcription

1 Phoobiological Safey for DOMINANT LEDs Background The poenial phoobiological hazard of LEDs was iniially being assessed o be similar o laser in he laser safey sandard by European Sandard Organizaion. However, he assessmen does no ruly represen he LEDs because he radiances difference in boh LED and lasers led o differen applicaions as well as poenial eye hazard levels. The EN (equivalen o IEC 60825) sandard was hen furher revised o accommodae he issues. Finally, he LEDs were removed from he scope of IEC :2007 and published as IEC 62471:2006 Phoobiological Safey of Lamps. The scope of his sandard applies o lamps and lamp sysems safey including he safey of luminaires. Hazard exposure limis (EL) Opical radiaion in general does no penerae very deeply ino biological issues. The blue ligh and infrared irradiaed from LED primarily affecs he eye and skin. Thus he poenial hazards for boh blue ligh and infrared are governed by following disinc exposure limis. a. Reinal blue ligh hazard exposure limi b. Blue ligh (small source) hazard exposure limis for he eye (cornea) c. Infrared radiaion hazard exposure limi for he eye (cornea) d. Reinal hermal hazard exposure limi e. Thermal hazard exposure limi for he skin a. Blue ligh hazard exposure limis For exposure ime 10 4 s, he maximum radiance from blue ligh shall no exceed he level defined by equaions below LB = Lλ ( λ, ) B( Δλ [ Wm sr ] (1) 300 For exposure ime > 10 4 s, he radiance is limied o a consan value: = L B( Δλ 100 [ Wm sr ] L B 300 λ where L λ is he specral radiance in Wm -2 sr -1 nm -1, B λ is he blue ligh hazard weighing funcion, λ is he bandwidh in nm and in seconds. The maximum permissible exposure duraion, max for weighed source radiance, L B ha exceeding 100 Wm -2 sr -1 wihin 10 4 s is compued as follows: 10 6 max = [ s] (3) L B (2) -1- Ver B

2 1.0E+01 Specral efficacy 1.0E E E 02 R( 1.0E 03 B( 1.0E Wavelengh (nm) Figure 1: Blue ligh weighing hazard funcion B( and hermal weighing hazard funcion R( b. Blue ligh (small source) hazard exposure limis for he eye For blue ligh source wih size less han radians, he EL derivaion for exposure ime 100 s can be simplified using specral irradiance: EB = Eλ ( λ, ) B( Δλ [ Wm ] (4) 300 For exposure ime > 100s, he radiance is limied o a consan value: E B 700 = λ 300 e B( Δλ 1 [ Wm where E λ is he specral irradiance in Wm -2 sr -1 nm -1, B λ is he blue ligh hazard weighing funcion, λ is he bandwidh in nm and in seconds. For blue ligh source weigh irradiance, E B greaer han 0.01 Wm -2 wihin 100 s, he maximum allowable exposure duraion is calculaed as followed: 100 max = [ s] (6) E B ] (5) c. Infrared radiaion hazard exposure limis for he eye The exposure of infrared radiaion wihin 1000 s is resriced o: E IR = Eλ Δλ [ Wm ] (7) 2 Ver B

3 For ime > 1000 s, he irradiance becomes independen o duraion of exposure: E IR 3000 = E Δλ 100 [ Wm 780 λ where E λ is he specral irradiance in Wm -2 sr -1 nm -1, λ given in nm and in seconds. In cold environmens, he EL for > 1000 s is increased o 400 Wm -2 a 0 C and 300 Wm -2 a 10 C. ] (8) d. Reinal hermal hazard exposure limis Apparen ligh enering he pupil is focused by he cornea and lens. Then i is projeced a back of he eye where he reina lies and ha defines he opical irradiaion induced sressed region. The angular subsense, α a a viewing disance, d can be deermined by: 1 l + w α = [ rad ] (9) d 2 wih l and w are he lengh and widh of he source respecively. Since he size of he pupil changes wih he level of luminance, he effecive angular subsense, α eff of blue ligh a a given exposure duraion is lised in he able below. Wavelengh, λ (nm) Duraion, (s) α min,eff, γ FOV (rad) α max,eff, γ FOV (rad) Blue Ligh (Addiional remarks) 0.25 < < < < Table 1: Limis of he angular subsense, α and measuremens field of view, γ FOV a differen ime range For irradiance measuremen, he angular subsense, α is defined by field of view, γ FOV given in equaion below. F α eff = γ FOV = [rad] (11) r where F is he size of he field sop and r is he disance source o deecor. The maximum EL o proec reinal from hermal injury is calculaed based on he inegraed specral radiance of he ligh source, L λ and weighing funcion, R(. The EL is a funcion of exposure ime, and angular subsense, α from he source in radians when 10 µs 10 s L R = Lλ R( Δλ [ Wm sr ] (12) α Ver B

4 For longer exposure ime, > 10 s, he EL is defined by he near infrared range (weak visual simulus, nm) and limied o: L IR = Lλ R( Δλ [ Wm sr ] (13) α 780 Cornea Ligh Source d Reina Figure 2: Angular subsense, α a a viewing disance, d. Apparen Source γ α Deecor /Aperure Sop Field Sop, F r Figure 3: Alernaive radiance measuremen echnique. e. Thermal hazard exposure limi for skin The highes EL of skin for 10s shall be limied o: EH = Eλ ( λ, ) Δλ [ Jm ] (12) where E λ is he specral irradiance in Wm -2 nm -1, λ given in nm and in seconds. For exposure longer han 10 s, EL is no provided because severe pain occurs before he skin can be damaged. 4 Ver B

5 Lamp Classificaion The following able, i summarizes he limis and poenial risk group classificaion of lamps consruced using blue ligh and infrared irradiaed LED. Risk Group Risk Group Risk Group 2 Hazard 1 (Moderae (No Hazard) (Low Risk) Risk) Reinal Blue Ligh L B < 100 L B < 10,000 L B < 4,000,000 Reinal Blue ligh, small source (α < rad) Reinal hermal Risk Group 3 (High Risk) Uni Wm -2 sr -1 E B < 1.0 E B < 1.0 E B < 400 Wm -2 L R < 28000/ α Warning when L R < 28000/ L exceeded α R < 71000/ α limis of Risk Group 2 Wm -2 sr -1 L IR < 6000/ α L IR < 6000/ α L IR < 6000/ α Wm -2 sr -1 Reinal hermal, weak visual simulus (including non-gls source) IR radiaion E IR < 100 E IR < 570 E IR < 3200 Wm -2 Table 3: Emission limis for risks group of coninuous wave lamps. The hazard value for lamps inended for general ligh service (GLS) is repored a disance which produces a luminance of 500 lux. Meanwhile, he measuremen disance for oher ligh sources is fixed a 200 mm. The recommended conrol measure for each hazard risk groups is lised in he following able. Hazard Reinal Blue Ligh ( nm) Reinal Blue ligh, small source Reinal hermal ( nm) Reinal hermal, weak visual simulus ( nm) IR radiaion ( nm) Risk Group (No Hazard) No required No required Risk Group 1 (Low Risk) No required Do no sare a operaing lamp. Use appropriae shielding for eyes Risk Group 2 (Moderae Risk) Do no sare a operaing lamp. May be harmful o he eyes. Do no sare a operaing lamp. Avoid eye exposure. Use appropriae shielding or eye proecion. Table 4: Recommended conrol measure for each hazard risk groups. Risk Group 3 (High Risk) Do no look a operaing lamp. May resul in eye injury. Do no look a operaing lamp. Avoid eye exposure. Use appropriae shielding or eye proecion. 5 Ver B

6 Analysis Majoriy of LED produce by Dominan is visible LED wih wavelengh specrum fall ino range from 400nm o 700nm. Thus by defaul here is no risk of UV or IR radiaion exposure from hese LED. The phoobiological risk of visible LED is hence confined o blue ligh hazard and reinal hermal hazard. Table below summarized he maximum brighness par number from each plaforms of LED produced in Dominan. Blue Whie Plaform Par No. Maximum Luminous Flux [lm] Risk Hazard Plaform Par No. Maximum Luminous Flux [lm] Risk Hazard SPNova NPB JSG 27.0 RG1 KNova NKW RGG PowerDomi DWB LJG 2.7 SPNova NPW RSD Domi DDB HJS 1.3 Primax NAW BSG 39.8 MiniDomi DNB DZJS 1.3 PowerDomi DWW WJG 8.9 MuliDomi D6RTB HJD 1.2 Domi DDW WJG 7.5 Spice SSB HLD 0.4 MiniDomi DNW UJG 2.7 Throughhole LED L5B N RG 1 Spice SSW HLD 1.3 Throughhole LED L5W N RG 1 Table 5: Lis of LED wih he maximum brighness par number from each plaform. Two of he highes brighness LED plaform, SPNova Blue and KNova Whie is seleced as vehicle for phoobiological measuremen and classificaion (Please refer o appendix). Besides ha, he emission from Dominan major LED group, he DomiLED Whie and he narrow beam group of Through-hole LED were also presened. These LEDs are placed a a disance, d = 200 mm and powered up wih I F = 350 ma excep ha he DomiLED/Through hole LED is driven a I F = 20 ma. The resul indicaes ha SPNova Blue is classified under Risk Group 1 (Low Risk). However, KNovaLED Whie falls ino he Group caegory. The emission from DomiLED Whie is also classified under he Group. Boh Through-hole LED of Blue and Whie are classified under Risk Group 1 (Low Risk). Summary Based on he measuremen resul, i is proven ha he wors case exposure scenario in Dominan visible LED produc range is classified under Risk Group 1 (Low Risk). However, his assessmen applies o he LED componens alone. For cusom applicaion ha involves module inegraion and secondary opics, power densiy would be one of he addiional facor o be considered ino he analysis. 6 Ver B

7 Appendix I LED Type SPNova BLUE Luminous flux 27.0 lm a I F = 350 ma, T = 25 C Peak Wavelengh 455 nm Color Blue Small Source Yes Peak Irradiance measured, E λ Wm 2 a T = 25 C (Refer o char below) Risk Group Caegories for Coninuous Wave Risk Facor Risk Group Resul Acinic UV, E S ( nm) ** Near UV, E UVA ( nm) ** Blue Ligh, L B ( nm) Risk Group 1 (Low Risk) Blue Ligh Small Source, E B ( nm) Reinal Thermal, L R ( nm) Reinal Thermal Weak Simulus, L R ( nm) ** Infrared Radiaion for eye, L IR ( nm) ** **No emission in he wavelengh range of he lised risk caegory. Irradiance Profile a 200 mm 1.5 Irradiance vs. Angle of Incidence (Disance source o deecor =200 mm) 0 90 Irradiance (Wm 2) Specrum E Angle from cenral axis ( ) Specral Radian Inensiy (Disance source o deecor = 200 mm ) 1.2E 03 Inensiy (Wsr 1nm 1) 1.0E E E E E E Wavelengh (nm) 7 Ver B

8 Appendix II LED Type KNovaLED Luminous flux lm a I F = 350 ma, T = 25 C Peak Wavelengh 455 nm Wavelengh measured nm Color Whie Small Source No Peak Irradiance measured, E λ Wm 2 a T = 25 C (Refer o char below) Risk Group Caegories for Coninuous Wave Risk Facor Risk Group Resul Acinic UV, E S ( nm) ** Near UV, E UVA ( nm) ** Blue Ligh, L B ( nm) Blue Ligh Small Source, E B ( nm) Reinal Thermal, L R ( nm) Reinal Thermal Weak Simulus, L R ( nm) ** Infrared Radiaion for eye, L IR ( nm) ** **No emission in he wavelengh range of he lised risk caegory. Irradiance Profile a 200 mm 1.5 Irradiance vs. Angle of Incidence (Disance source o deecor =200 mm) ) m (W ce n ia d 0.5 Ira 0 90 Specrum Angle from cenral axis ( ) 5.0E 04 Specral Radian Inensiy (Disance source o deecor = 200 mm ) 4.0E 04 Inensiy (Wsr 1nm 1) 3.0E E E E Wavelengh (nm) 8 Ver B

9 Appendix III LED Type DomiLED Luminous flux 7.5 lm a I F = 20 ma, T = 25 C Peak Wavelengh 445 nm Wavelengh measured nm Color Whie Small Source No Peak Irradiance measured, E λ Wm 2 a T = 25 C (Refer o char below) Risk Group Caegories for Coninuous Wave Risk Facor Risk Group Resul Acinic UV, E S ( nm) ** Near UV, E UVA ( nm) ** Blue Ligh, L B ( nm) Blue Ligh Small Source, E B ( nm) Reinal Thermal, L R ( nm) Reinal Thermal Weak Simulus, L R ( nm) ** Infrared Radiaion for eye, L IR ( nm) ** **No emission in he wavelengh range of he lised risk caegory. Irradiance Profile a 200 mm 0.10 Irradiance vs. Angle of Incidence (Disance source o deecor =200 mm) 0.08 ) 2 m 0.06 (W ce n ia 0.04 d Ira Specrum Angle from cenral axis ( ) 2.5E 05 Specral Radian Inensiy (Disance source o deecor = 200 mm ) 2.0E 05 Inensiy (Wsr 1 nm 1 ) 1.5E E E E Wavelengh (nm) 9 Ver B

10 Appendix IV LED Type Through hole LED Luminous flux 1.0 lm a I F = 20 ma, T = 25 C Peak Wavelengh 465 nm Color Blue Small Source Yes Peak Irradiance measured, E λ Wm 2 a T = 25 C (Refer o char below) Risk Group Caegories for Coninuous Wave Risk Facor Risk Group Resul Acinic UV, E S ( nm) ** Near UV, E UVA ( nm) ** Blue Ligh, L B ( nm) Risk Group 1 (Low Risk) Blue Ligh Small Source, E B ( nm) Reinal Thermal, L R ( nm) Reinal Thermal Weak Simulus, L R ( nm) ** Infrared Radiaion for eye, L IR ( nm) ** **No emission in he wavelengh range of he lised risk caegory. Irradiance Profile a 200 mm Specrum 10 Ver B

11 Appendix v LED Type Through hole LED Luminous flux 4.0 lm a I F = 20 ma, T = 25 C Peak Wavelengh 460 nm Wavelengh measured nm Color Whie Small Source Yes Peak Irradiance measured, E λ Wm 2 a T = 25 C (Refer o char below) Risk Group Caegories for Coninuous Wave Risk Facor Risk Group Resul Acinic UV, E S ( nm) ** Near UV, E UVA ( nm) ** Blue Ligh, L B ( nm) Risk Group 1 (Low Risk) Blue Ligh Small Source, E B ( nm) Reinal Thermal, L R ( nm) Reinal Thermal Weak Simulus, L R ( nm) ** Infrared Radiaion for eye, L IR ( nm) ** **No emission in he wavelengh range of he lised risk caegory. Irradiance Profile a 200 mm Specrum 11 Ver B

Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL)

Photobiological Safety for DOMINANT LEDs. Background. Hazard exposure limits (EL) Phoobiological Safey for DOMINANT LEDs Background The poenial phoobiological hazard of LEDs was iniially being assessed o be similar o laser in he laser safey sandard by European Sandard Organizaion. However,

More information

Photobiological Safety of Luminaires: Refining the New Approach

Photobiological Safety of Luminaires: Refining the New Approach Photobiological Safety of Luminaires: Refining the New Approach Leslie Lyons Bentham Instruments Limited Reading, UK llyons@bentham.co.uk We are all familiar with the visual characteristics of lighting

More information

Report No.: EASZF Page 2 of 14

Report No.: EASZF Page 2 of 14 Report No.: EASZF01050007 age 2 of 14 Test item particulars... : Tested lamp... : continuous wave lamps pulsed lamps Tested lamp system... : Lamp classification group... : exempt risk 1 risk 2 risk 3 Lamp

More information

ASSESSMENT OF NON-COHERENT LIGHT SOURCES

ASSESSMENT OF NON-COHERENT LIGHT SOURCES ASSESSMENT OF NON-COHERENT LIGHT SOURCES David Egan Snr Team Leader Laser Science Support Orion Laser Facility AWE, UK Page 1 Introduction Laser safety is accepted However there is a certain reticence

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : 4326246.51 Date of issue... : 2016-02-23 Total number of pages... :

More information

TEST REPORT EN 62471:2008 Photobiological safety of lamps and lamp systems

TEST REPORT EN 62471:2008 Photobiological safety of lamps and lamp systems Shenzhen BST Technology Co., Ltd. BST16098151A0001YUR-2 TEST REORT hotobiological safety of lamps and lamp systems Report reference o....: BST16098151A0001YUR-2 Date of issue...: 2016-9-30 Testing laboratory...:

More information

CENTRE OF TESTING SERVICE INTERNATIONAL OPERATE ACCORDING TO ISO/IEC LVD TEST REPORT

CENTRE OF TESTING SERVICE INTERNATIONAL OPERATE ACCORDING TO ISO/IEC LVD TEST REPORT CETRE OF TESTIG SERVICE ITERATIOAL OERATE ACCORDIG TO ISO/IEC 17025 LVD TEST REORT TEST REORT UMBER : CB3160607-00480-L Report o.: CB3160607-00480-L age 1 of 17 Date: 13 June 2016 Table of contents 1.

More information

Analyze patterns and relationships. 3. Generate two numerical patterns using AC

Analyze patterns and relationships. 3. Generate two numerical patterns using AC envision ah 2.0 5h Grade ah Curriculum Quarer 1 Quarer 2 Quarer 3 Quarer 4 andards: =ajor =upporing =Addiional Firs 30 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 andards: Operaions and Algebraic Thinking

More information

6.003: Signals and Systems

6.003: Signals and Systems 6.3: Signals and Sysems Lecure 7 April 8, 6.3: Signals and Sysems C Fourier ransform C Fourier ransform Represening signals by heir frequency conen. X(j)= x()e j d ( analysis equaion) x()= π X(j)e j d

More information

TEST REPORT. EN 62471:2008 Photobiological safety of lamps and lamp systems

TEST REPORT. EN 62471:2008 Photobiological safety of lamps and lamp systems TEST REORT E 62471:2008 hotobiological safety of lamps and lamp systems Report reference o.... : Compiled by (+ signature)... : Approved by (+ signature)... : ark Zeng Rick Xiao Date of issue... : 2016-06-14

More information

Test Report. Project No: Report No: aR01 Report Issued Date: Customer Company & Address:

Test Report. Project No: Report No: aR01 Report Issued Date: Customer Company & Address: Customer Company & Address: Edison Opto Corporation ADD: 4F, No.800, Chung-Cheng Rd., Chung-Ho Dist, New Taipei City Contact erson: Telephone: Zhen Chuang 886-2-8227-6996 Fax: zhenchuang@edisonopto.com.tw

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems age 1 of 20 Test Report issued under the responsibility of: Intertek Testing Services Shenzhen Ltd. TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : 140729054GZU-002

More information

TEST REPORT. IEC 62471:2006 Photobiological safety of lamps and lamp systems

TEST REPORT. IEC 62471:2006 Photobiological safety of lamps and lamp systems TEST REORT IEC 62471:2006 hotobiological safety of lamps and lamp systems Report reference o.... : Compiled by (+ signature)...: Colin Zhang Approved by (+ signature)...: Alice Liu Date of issue...: 2015-08-15

More information

Exponential Weighted Moving Average (EWMA) Chart Under The Assumption of Moderateness And Its 3 Control Limits

Exponential Weighted Moving Average (EWMA) Chart Under The Assumption of Moderateness And Its 3 Control Limits DOI: 0.545/mjis.07.5009 Exponenial Weighed Moving Average (EWMA) Char Under The Assumpion of Moderaeness And Is 3 Conrol Limis KALPESH S TAILOR Assisan Professor, Deparmen of Saisics, M. K. Bhavnagar Universiy,

More information

RSZ Byron Huang 62471:2008. used in under the Adobe. (all other name

RSZ Byron Huang 62471:2008. used in under the Adobe. (all other name Model/ /type reference...: 2T03X5CW11000002 2T03X5WW23000001 (all other name see General product information ) Manufacturer.........: Edison Opto Corporation 4F o. 800, Chung-Cheng Rd., Chung-Ho City,

More information

Vehicle Arrival Models : Headway

Vehicle Arrival Models : Headway Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where

More information

1. VELOCITY AND ACCELERATION

1. VELOCITY AND ACCELERATION 1. VELOCITY AND ACCELERATION 1.1 Kinemaics Equaions s = u + 1 a and s = v 1 a s = 1 (u + v) v = u + as 1. Displacemen-Time Graph Gradien = speed 1.3 Velociy-Time Graph Gradien = acceleraion Area under

More information

Eye Safety of IREDs used in Lamp Applications Application Note

Eye Safety of IREDs used in Lamp Applications Application Note Eye Safety of IREDs used in Lamp Applications Application Note Introduction As the radiated optical power of light emitting diodes (LEDs) has increased in recent years, the issue of eye safety has received

More information

Photobiological safety of lamps and lamp systems

Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : Dialight Optics Lab Request #16119 Date of issue... : 9/22/2016 Total

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : Date of issue... : Total number of pages... : Testing Laboratory... : Address... : Applicant s name... : Address...

More information

Lecture 4 Kinetics of a particle Part 3: Impulse and Momentum

Lecture 4 Kinetics of a particle Part 3: Impulse and Momentum MEE Engineering Mechanics II Lecure 4 Lecure 4 Kineics of a paricle Par 3: Impulse and Momenum Linear impulse and momenum Saring from he equaion of moion for a paricle of mass m which is subjeced o an

More information

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry

Chapter 15 Lasers, Laser Spectroscopy, and Photochemistry Chaper 15 Lasers, Laser Specroscopy, and Phoochemisry ackground: In his chaper we will alk abou ligh amplificaion by simulaed emission of radiaion (LASER), heir impac on specroscopy and ligh-iniiaed reacions

More information

TEST REPORT ...: RSZ China. as above EN 62471:2008. China. Procedure deviation ...: N.A. No.1, China. Copy of. marking plate: None

TEST REPORT ...: RSZ China. as above EN 62471:2008. China. Procedure deviation ...: N.A. No.1, China. Copy of. marking plate: None TEST REORT E 62471:2008 hotobiological safety of lamps and lamp systems Report reference o...: Compiled by (+ signature)...: Zero Gao Approved by (+ signature)...: Harrison Huang Date of issue...: 2016-12-07

More information

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes

23.5. Half-Range Series. Introduction. Prerequisites. Learning Outcomes Half-Range Series 2.5 Inroducion In his Secion we address he following problem: Can we find a Fourier series expansion of a funcion defined over a finie inerval? Of course we recognise ha such a funcion

More information

ψ(t) = V x (0)V x (t)

ψ(t) = V x (0)V x (t) .93 Home Work Se No. (Professor Sow-Hsin Chen Spring Term 5. Due March 7, 5. This problem concerns calculaions of analyical expressions for he self-inermediae scaering funcion (ISF of he es paricle in

More information

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors

V AK (t) I T (t) I TRM. V AK( full area) (t) t t 1 Axial turn-on. Switching losses for Phase Control and Bi- Directionally Controlled Thyristors Applicaion Noe Swiching losses for Phase Conrol and Bi- Direcionally Conrolled Thyrisors V AK () I T () Causing W on I TRM V AK( full area) () 1 Axial urn-on Plasma spread 2 Swiching losses for Phase Conrol

More information

8. Basic RL and RC Circuits

8. Basic RL and RC Circuits 8. Basic L and C Circuis This chaper deals wih he soluions of he responses of L and C circuis The analysis of C and L circuis leads o a linear differenial equaion This chaper covers he following opics

More information

Jeanne Han EN 62471:2008

Jeanne Han EN 62471:2008 SZ140418001-3-2R TEST REORT E 62471:2008 hotobiological safety of lamps and lamp systems Report reference o...: SZ140418001-3-2R Compiled by (+ signature)...: Jimmy Hong Approved by (+ signature)...: Jeanne

More information

Compliance with the National requirements of EUROPEAN GROUP DIFFERENCES AND NATIONAL DIFFERENCES for EN 62471:2008.

Compliance with the National requirements of EUROPEAN GROUP DIFFERENCES AND NATIONAL DIFFERENCES for EN 62471:2008. age 2 of 14 Report o.: GLESO10020059801 Summary of testing: Tests performed (name of test and test clause): These tests fulfil the requirements of standard ISO/IEC 17025. When determining the test conclusion,

More information

Lecture #6: Continuous-Time Signals

Lecture #6: Continuous-Time Signals EEL5: Discree-Time Signals and Sysems Lecure #6: Coninuous-Time Signals Lecure #6: Coninuous-Time Signals. Inroducion In his lecure, we discussed he ollowing opics:. Mahemaical represenaion and ransormaions

More information

Mechanical Fatigue and Load-Induced Aging of Loudspeaker Suspension. Wolfgang Klippel,

Mechanical Fatigue and Load-Induced Aging of Loudspeaker Suspension. Wolfgang Klippel, Mechanical Faigue and Load-Induced Aging of Loudspeaker Suspension Wolfgang Klippel, Insiue of Acousics and Speech Communicaion Dresden Universiy of Technology presened a he ALMA Symposium 2012, Las Vegas

More information

1. Define the following: molecular cloud, molecular core, protostar. Include typical properties when necessary.

1. Define the following: molecular cloud, molecular core, protostar. Include typical properties when necessary. 1 Soluions o PH6820 Miderm 1. Define he following: molecular cloud, molecular core, proosar. Include ypical properies when necessary. A molecular cloud is a disinc, self-graviaing cloud comprised primarily

More information

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,

More information

Effects of Coordinate Curvature on Integration

Effects of Coordinate Curvature on Integration Effecs of Coordinae Curvaure on Inegraion Chrisopher A. Lafore clafore@gmail.com Absrac In his paper, he inegraion of a funcion over a curved manifold is examined in he case where he curvaure of he manifold

More information

Photobiological safety of lamps and lamp systems

Photobiological safety of lamps and lamp systems age 1 of 27 Test Report issued under the responsibility of: Intertek Testing Services Shenzhen Ltd. Guangzhou Branch TEST REORT IEC 62471 hotobiological safety of lamps and lamp systems Report Reference

More information

Exponentially Weighted Moving Average (EWMA) Chart Based on Six Delta Initiatives

Exponentially Weighted Moving Average (EWMA) Chart Based on Six Delta Initiatives hps://doi.org/0.545/mjis.08.600 Exponenially Weighed Moving Average (EWMA) Char Based on Six Dela Iniiaives KALPESH S. TAILOR Deparmen of Saisics, M. K. Bhavnagar Universiy, Bhavnagar-36400 E-mail: kalpesh_lr@yahoo.co.in

More information

Appendix to Creating Work Breaks From Available Idleness

Appendix to Creating Work Breaks From Available Idleness Appendix o Creaing Work Breaks From Available Idleness Xu Sun and Ward Whi Deparmen of Indusrial Engineering and Operaions Research, Columbia Universiy, New York, NY, 127; {xs2235,ww24}@columbia.edu Sepember

More information

SOLUTIONS TO ECE 3084

SOLUTIONS TO ECE 3084 SOLUTIONS TO ECE 384 PROBLEM 2.. For each sysem below, specify wheher or no i is: (i) memoryless; (ii) causal; (iii) inverible; (iv) linear; (v) ime invarian; Explain your reasoning. If he propery is no

More information

Photobiological safety of lamps and lamp systems

Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: age 1 of 14 TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : GZES111000681631 Tested by (name + signature)... : Bica

More information

Overview. COMP14112: Artificial Intelligence Fundamentals. Lecture 0 Very Brief Overview. Structure of this course

Overview. COMP14112: Artificial Intelligence Fundamentals. Lecture 0 Very Brief Overview. Structure of this course OMP: Arificial Inelligence Fundamenals Lecure 0 Very Brief Overview Lecurer: Email: Xiao-Jun Zeng x.zeng@mancheser.ac.uk Overview This course will focus mainly on probabilisic mehods in AI We shall presen

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : 17-12-07 Date of issue... : 2017-12-18 Total number of pages... : 19

More information

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan

Ground Rules. PC1221 Fundamentals of Physics I. Kinematics. Position. Lectures 3 and 4 Motion in One Dimension. A/Prof Tay Seng Chuan Ground Rules PC11 Fundamenals of Physics I Lecures 3 and 4 Moion in One Dimension A/Prof Tay Seng Chuan 1 Swich off your handphone and pager Swich off your lapop compuer and keep i No alking while lecure

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : 3182062.55A Date of issue... : 2016-02-23 Total number of pages... :

More information

WEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x

WEEK-3 Recitation PHYS 131. of the projectile s velocity remains constant throughout the motion, since the acceleration a x WEEK-3 Reciaion PHYS 131 Ch. 3: FOC 1, 3, 4, 6, 14. Problems 9, 37, 41 & 71 and Ch. 4: FOC 1, 3, 5, 8. Problems 3, 5 & 16. Feb 8, 018 Ch. 3: FOC 1, 3, 4, 6, 14. 1. (a) The horizonal componen of he projecile

More information

TEST REPORT IEC Photobiological safety of lamps and lamp systems

TEST REPORT IEC Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : 50039441 001 Date of issue... : 2016-05-02 Total number of pages...

More information

TEST REPORT IEC and/or EN Photobiological safety of lamps and lamp systems

TEST REPORT IEC and/or EN Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT and/or EN 62471 hotobiological safety of lamps and lamp systems Report Reference No.... : GZES160200176431 Tested by (name + signature)... : Jack

More information

Program: RFEM 5, RSTAB 8, RF-DYNAM Pro, DYNAM Pro. Category: Isotropic Linear Elasticity, Dynamics, Member

Program: RFEM 5, RSTAB 8, RF-DYNAM Pro, DYNAM Pro. Category: Isotropic Linear Elasticity, Dynamics, Member Verificaion Example Program: RFEM 5, RSTAB 8, RF-DYNAM Pro, DYNAM Pro Caegory: Isoropic Linear Elasiciy, Dynamics, Member Verificaion Example: 0104 Canilever Beam wih Periodic Exciaion 0104 Canilever Beam

More information

Sub Module 2.6. Measurement of transient temperature

Sub Module 2.6. Measurement of transient temperature Mechanical Measuremens Prof. S.P.Venkaeshan Sub Module 2.6 Measuremen of ransien emperaure Many processes of engineering relevance involve variaions wih respec o ime. The sysem properies like emperaure,

More information

Math 333 Problem Set #2 Solution 14 February 2003

Math 333 Problem Set #2 Solution 14 February 2003 Mah 333 Problem Se #2 Soluion 14 February 2003 A1. Solve he iniial value problem dy dx = x2 + e 3x ; 2y 4 y(0) = 1. Soluion: This is separable; we wrie 2y 4 dy = x 2 + e x dx and inegrae o ge The iniial

More information

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4.

Reading from Young & Freedman: For this topic, read sections 25.4 & 25.5, the introduction to chapter 26 and sections 26.1 to 26.2 & 26.4. PHY1 Elecriciy Topic 7 (Lecures 1 & 11) Elecric Circuis n his opic, we will cover: 1) Elecromoive Force (EMF) ) Series and parallel resisor combinaions 3) Kirchhoff s rules for circuis 4) Time dependence

More information

1. Introduction PART I: FIBER OPTICS 2. Ray Propagation in Optical Fibers 3. Wave Propagation in Planar Waveguides

1. Introduction PART I: FIBER OPTICS 2. Ray Propagation in Optical Fibers 3. Wave Propagation in Planar Waveguides Conens Preface 1. Inroducion 1 1.1 Fiber Opics and Opoelecronics 1 1. Hisorical Developmens 1 1.3 A Fiber-opic Communicaion Sysem 3 1.4 Advanages of Fiber-opic Sysems 6 1.5 Emergence of Fiber Opics as

More information

Excel-Based Solution Method For The Optimal Policy Of The Hadley And Whittin s Exact Model With Arma Demand

Excel-Based Solution Method For The Optimal Policy Of The Hadley And Whittin s Exact Model With Arma Demand Excel-Based Soluion Mehod For The Opimal Policy Of The Hadley And Whiin s Exac Model Wih Arma Demand Kal Nami School of Business and Economics Winson Salem Sae Universiy Winson Salem, NC 27110 Phone: (336)750-2338

More information

20. Applications of the Genetic-Drift Model

20. Applications of the Genetic-Drift Model 0. Applicaions of he Geneic-Drif Model 1) Deermining he probabiliy of forming any paricular combinaion of genoypes in he nex generaion: Example: If he parenal allele frequencies are p 0 = 0.35 and q 0

More information

MA 214 Calculus IV (Spring 2016) Section 2. Homework Assignment 1 Solutions

MA 214 Calculus IV (Spring 2016) Section 2. Homework Assignment 1 Solutions MA 14 Calculus IV (Spring 016) Secion Homework Assignmen 1 Soluions 1 Boyce and DiPrima, p 40, Problem 10 (c) Soluion: In sandard form he given firs-order linear ODE is: An inegraing facor is given by

More information

Traveling Waves. Chapter Introduction

Traveling Waves. Chapter Introduction Chaper 4 Traveling Waves 4.1 Inroducion To dae, we have considered oscillaions, i.e., periodic, ofen harmonic, variaions of a physical characerisic of a sysem. The sysem a one ime is indisinguishable from

More information

APPENDIX H FRACTURE PROPERTIES OF ASPHALT MIXTURES

APPENDIX H FRACTURE PROPERTIES OF ASPHALT MIXTURES APPENDIX H FRACTURE PROPERTIES OF ASPHALT MIXTURES LIST OF FIGURES Figure Page H- Loading ime under sress free emperaure... H-2 H-2 Mehod o evaluae he m mix of fracure properies for hermal case... H-3

More information

4.6 One Dimensional Kinematics and Integration

4.6 One Dimensional Kinematics and Integration 4.6 One Dimensional Kinemaics and Inegraion When he acceleraion a( of an objec is a non-consan funcion of ime, we would like o deermine he ime dependence of he posiion funcion x( and he x -componen of

More information

CHAPTER 12 DIRECT CURRENT CIRCUITS

CHAPTER 12 DIRECT CURRENT CIRCUITS CHAPTER 12 DIRECT CURRENT CIUITS DIRECT CURRENT CIUITS 257 12.1 RESISTORS IN SERIES AND IN PARALLEL When wo resisors are conneced ogeher as shown in Figure 12.1 we said ha hey are conneced in series. As

More information

Simulation-Solving Dynamic Models ABE 5646 Week 2, Spring 2010

Simulation-Solving Dynamic Models ABE 5646 Week 2, Spring 2010 Simulaion-Solving Dynamic Models ABE 5646 Week 2, Spring 2010 Week Descripion Reading Maerial 2 Compuer Simulaion of Dynamic Models Finie Difference, coninuous saes, discree ime Simple Mehods Euler Trapezoid

More information

A Method for Determining the Effects of Overpressure from Small/Medium Weapons Fire Abstract August 2011

A Method for Determining the Effects of Overpressure from Small/Medium Weapons Fire Abstract August 2011 Small Arms Air Plaform Inegraion A Meho for Deermining he Effecs of Overpressure from Small/Meium Weapons Fire Absrac 11838 30 Augus 2011 Seven L. Backer Crane Division, Naval Surface Warfare Cener (NSWC

More information

ADDITIONAL PROBLEMS (a) Find the Fourier transform of the half-cosine pulse shown in Fig. 2.40(a). Additional Problems 91

ADDITIONAL PROBLEMS (a) Find the Fourier transform of the half-cosine pulse shown in Fig. 2.40(a). Additional Problems 91 ddiional Problems 9 n inverse relaionship exiss beween he ime-domain and freuency-domain descripions of a signal. Whenever an operaion is performed on he waveform of a signal in he ime domain, a corresponding

More information

Sensing distance. 2 mm (slot width)

Sensing distance. 2 mm (slot width) Phoomicrosensor (Transmissive) EE-SX3 Ulra-Compac Slo / SMD Type (Slo widh: mm) PCB surface mouning ype. High resoluion wih a.3-mm-wide aperure. Be sure o read Safey Precauions on page 3. Ordering Informaion

More information

TEST REPORT IEC and/or EN Photobiological safety of lamps and lamp systems

TEST REPORT IEC and/or EN Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT IEC 62471 and/or EN 62471 hotobiological safety of lamps and lamp systems Report Reference No.... : GZES130300236831 Tested by (name + signature)...

More information

MA 366 Review - Test # 1

MA 366 Review - Test # 1 MA 366 Review - Tes # 1 Fall 5 () Resuls from Calculus: differeniaion formulas, implici differeniaion, Chain Rule; inegraion formulas, inegraion b pars, parial fracions, oher inegraion echniques. (1) Order

More information

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon 3..3 INRODUCION O DYNAMIC OPIMIZAION: DISCREE IME PROBLEMS A. he Hamilonian and Firs-Order Condiions in a Finie ime Horizon Define a new funcion, he Hamilonian funcion, H. H he change in he oal value of

More information

Resource Allocation in Visible Light Communication Networks NOMA vs. OFDMA Transmission Techniques

Resource Allocation in Visible Light Communication Networks NOMA vs. OFDMA Transmission Techniques Resource Allocaion in Visible Ligh Communicaion Neworks NOMA vs. OFDMA Transmission Techniques Eirini Eleni Tsiropoulou, Iakovos Gialagkolidis, Panagiois Vamvakas, and Symeon Papavassiliou Insiue of Communicaions

More information

NCSS Statistical Software. , contains a periodic (cyclic) component. A natural model of the periodic component would be

NCSS Statistical Software. , contains a periodic (cyclic) component. A natural model of the periodic component would be NCSS Saisical Sofware Chaper 468 Specral Analysis Inroducion This program calculaes and displays he periodogram and specrum of a ime series. This is someimes nown as harmonic analysis or he frequency approach

More information

Linear Time-invariant systems, Convolution, and Cross-correlation

Linear Time-invariant systems, Convolution, and Cross-correlation Linear Time-invarian sysems, Convoluion, and Cross-correlaion (1) Linear Time-invarian (LTI) sysem A sysem akes in an inpu funcion and reurns an oupu funcion. x() T y() Inpu Sysem Oupu y() = T[x()] An

More information

SINUSOIDAL WAVEFORMS

SINUSOIDAL WAVEFORMS SINUSOIDAL WAVEFORMS The sinusoidal waveform is he only waveform whose shape is no affeced by he response characerisics of R, L, and C elemens. Enzo Paerno CIRCUIT ELEMENTS R [ Ω ] Resisance: Ω: Ohms Georg

More information

Non-uniform circular motion *

Non-uniform circular motion * OpenSax-CNX module: m14020 1 Non-uniform circular moion * Sunil Kumar Singh This work is produced by OpenSax-CNX and licensed under he Creaive Commons Aribuion License 2.0 Wha do we mean by non-uniform

More information

research papers Counting statistics of X-ray detectors at high counting rates

research papers Counting statistics of X-ray detectors at high counting rates Couning saisics of X-ray deecors a high couning raes David Laundy* and Sephen Collins Daresbury Laboraory, Warringon, Cheshire WA4 4AD, England. E-mail: d.laundy@dl.ac.uk Modern synchroron radiaion sources

More information

BEng (Hons) Telecommunications. Examinations for / Semester 2

BEng (Hons) Telecommunications. Examinations for / Semester 2 BEng (Hons) Telecommunicaions Cohor: BTEL/14/FT Examinaions for 2015-2016 / Semeser 2 MODULE: ELECTROMAGNETIC THEORY MODULE CODE: ASE2103 Duraion: 2 ½ Hours Insrucions o Candidaes: 1. Answer ALL 4 (FOUR)

More information

Lab 10: RC, RL, and RLC Circuits

Lab 10: RC, RL, and RLC Circuits Lab 10: RC, RL, and RLC Circuis In his experimen, we will invesigae he behavior of circuis conaining combinaions of resisors, capaciors, and inducors. We will sudy he way volages and currens change in

More information

23.2. Representing Periodic Functions by Fourier Series. Introduction. Prerequisites. Learning Outcomes

23.2. Representing Periodic Functions by Fourier Series. Introduction. Prerequisites. Learning Outcomes Represening Periodic Funcions by Fourier Series 3. Inroducion In his Secion we show how a periodic funcion can be expressed as a series of sines and cosines. We begin by obaining some sandard inegrals

More information

Photobiological safety of lamps and lamp systems

Photobiological safety of lamps and lamp systems Test Report issued under the responsibility of: TEST REORT hotobiological safety of lamps and lamp systems Report Reference No.... : GZES130300220831 Date of issue... : 2013-04-07 Total number of pages...

More information

KEEE313(03) Signals and Systems. Chang-Su Kim

KEEE313(03) Signals and Systems. Chang-Su Kim KEEE313(03) Signals and Sysems Chang-Su Kim Course Informaion Course homepage hp://mcl.korea.ac.kr Lecurer Chang-Su Kim Office: Engineering Bldg, Rm 508 E-mail: changsukim@korea.ac.kr Tuor 허육 (yukheo@mcl.korea.ac.kr)

More information

SFH636. Pb Pb-free. Optocoupler, Phototransistor Output, 1 Mbd, 10 kv/ms CMR, Split CollectorTransistor Output VISHAY. Vishay Semiconductors

SFH636. Pb Pb-free. Optocoupler, Phototransistor Output, 1 Mbd, 10 kv/ms CMR, Split CollectorTransistor Output VISHAY. Vishay Semiconductors Opocoupler, Phooransisor Oupu, Mbd, kv/ms CMR, Spli CollecorTransisor Oupu Feaures High Speed Opocoupler wihou Base Connecion Isolaion Tes Volage: 3 V RMS GaAlAs Emier Inegraed Deecor wih Phoo diode and

More information

IB Physics Kinematics Worksheet

IB Physics Kinematics Worksheet IB Physics Kinemaics Workshee Wrie full soluions and noes for muliple choice answers. Do no use a calculaor for muliple choice answers. 1. Which of he following is a correc definiion of average acceleraion?

More information

2. For a one-point fixed time method, a pseudo-first order reaction obeys the equation 0.309

2. For a one-point fixed time method, a pseudo-first order reaction obeys the equation 0.309 Chaper 3. To derive an appropriae equaion we firs noe he following general relaionship beween he concenraion of A a ime, [A], he iniial concenraion of A, [A], and he concenraion of P a ime, [P] [ P] Subsiuing

More information

TEST REPORT IEC / EN Photobiological safety of lamps and lamp systems

TEST REPORT IEC / EN Photobiological safety of lamps and lamp systems age 1 of 22 TEST REORT hotobiological safety of lamps and lamp systems Report Reference No...: 3006889.51-QUA/LI Date of issue...: 2011-03-08 Total number of pages...: Testing Laboratory...: Address...:

More information

6.003: Signals and Systems Lecture 20 November 17, 2011

6.003: Signals and Systems Lecture 20 November 17, 2011 6.3: Signals and Sysems Lecure November 7, 6.3: Signals and Sysems Applicaions of Fourier ransforms Filering Noion of a filer. LI sysems canno creae new frequencies. can only scale magniudes and shif phases

More information

Lecture 8/1. Light-Current characteristics measurements. P ν. P ν =η slope (I- I th ) R 1 R 2 P 1 P 2. η slope ( ) I th ( ) ( )

Lecture 8/1. Light-Current characteristics measurements. P ν. P ν =η slope (I- I th ) R 1 R 2 P 1 P 2. η slope ( ) I th ( ) ( ) Lecure 8/ Ligh-Curren characerisics measuremens ( f +,, laser : Uncoaed ( ( ( ( ( ( 0, ; 0, case A/H : *Special ;, Coaed laser : + + η slope Ι h η slope (- h Lecure 8/ Ligh-Curren characerisics measuremens

More information

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 175 CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 10.1 INTRODUCTION Amongs he research work performed, he bes resuls of experimenal work are validaed wih Arificial Neural Nework. From he

More information

Chapter 2. Models, Censoring, and Likelihood for Failure-Time Data

Chapter 2. Models, Censoring, and Likelihood for Failure-Time Data Chaper 2 Models, Censoring, and Likelihood for Failure-Time Daa William Q. Meeker and Luis A. Escobar Iowa Sae Universiy and Louisiana Sae Universiy Copyrigh 1998-2008 W. Q. Meeker and L. A. Escobar. Based

More information

6.003 Homework #13 Solutions

6.003 Homework #13 Solutions 6.003 Homework #3 Soluions Problems. Transformaion Consider he following ransformaion from x() o y(): x() w () w () w 3 () + y() p() cos() where p() = δ( k). Deermine an expression for y() when x() = sin(/)/().

More information

- If one knows that a magnetic field has a symmetry, one may calculate the magnitude of B by use of Ampere s law: The integral of scalar product

- If one knows that a magnetic field has a symmetry, one may calculate the magnitude of B by use of Ampere s law: The integral of scalar product 11.1 APPCATON OF AMPEE S AW N SYMMETC MAGNETC FEDS - f one knows ha a magneic field has a symmery, one may calculae he magniude of by use of Ampere s law: The inegral of scalar produc Closed _ pah * d

More information

Module 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II

Module 3: The Damped Oscillator-II Lecture 3: The Damped Oscillator-II Module 3: The Damped Oscillaor-II Lecure 3: The Damped Oscillaor-II 3. Over-damped Oscillaions. This refers o he siuaion where β > ω (3.) The wo roos are and α = β + α 2 = β β 2 ω 2 = (3.2) β 2 ω 2 = 2

More information

Second Law. first draft 9/23/04, second Sept Oct 2005 minor changes 2006, used spell check, expanded example

Second Law. first draft 9/23/04, second Sept Oct 2005 minor changes 2006, used spell check, expanded example Second Law firs draf 9/3/4, second Sep Oc 5 minor changes 6, used spell check, expanded example Kelvin-Planck: I is impossible o consruc a device ha will operae in a cycle and produce no effec oher han

More information

' ' ' t. Moving Spins. Phase of Moving Spin. Phase of a Moving Spin. Bioengineering 280A Principles of Biomedical Imaging

' ' ' t. Moving Spins. Phase of Moving Spin. Phase of a Moving Spin. Bioengineering 280A Principles of Biomedical Imaging Moving Spins Bioengineering 8A Principles of Biomedical Imaging Fall Quarer 1 MRI Lecure 6 So far we have assumed ha he spins are no moving (aside from hermal moion giving rise o relaaion) and conras has

More information

SFH636. Optocoupler, Phototransistor Output, 1 Mbd, 10 kv/ms CMR, Split CollectorTransistor Output VISHAY. Vishay Semiconductors.

SFH636. Optocoupler, Phototransistor Output, 1 Mbd, 10 kv/ms CMR, Split CollectorTransistor Output VISHAY. Vishay Semiconductors. Opocoupler, Phooransisor Oupu, Mbd, kv/ms CMR, Spli CollecorTransisor Oupu Feaures High Speed Opocoupler wihou Base Connecion Isolaion Tes Volage: 3 V RMS GaAlAs Emier Inegraed Deecor wih Phoo diode and

More information

Development of a new metrological model for measuring of the water surface evaporation Tovmach L. Tovmach Yr. Abstract Introduction

Development of a new metrological model for measuring of the water surface evaporation Tovmach L. Tovmach Yr. Abstract Introduction Developmen of a new merological model for measuring of he waer surface evaporaion Tovmach L. Tovmach Yr. Sae Hydrological Insiue 23 Second Line, 199053 S. Peersburg, Russian Federaion Telephone (812) 323

More information

AP CALCULUS AB 2003 SCORING GUIDELINES (Form B)

AP CALCULUS AB 2003 SCORING GUIDELINES (Form B) SCORING GUIDELINES (Form B) Quesion A blood vessel is 6 millimeers (mm) long Disance wih circular cross secions of varying diameer. x (mm) 6 8 4 6 Diameer The able above gives he measuremens of he B(x)

More information

Nature Neuroscience: doi: /nn Supplementary Figure 1. Spike-count autocorrelations in time.

Nature Neuroscience: doi: /nn Supplementary Figure 1. Spike-count autocorrelations in time. Supplemenary Figure 1 Spike-coun auocorrelaions in ime. Normalized auocorrelaion marices are shown for each area in a daase. The marix shows he mean correlaion of he spike coun in each ime bin wih he spike

More information

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model Modal idenificaion of srucures from roving inpu daa by means of maximum likelihood esimaion of he sae space model J. Cara, J. Juan, E. Alarcón Absrac The usual way o perform a forced vibraion es is o fix

More information

Shiva Akhtarian MSc Student, Department of Computer Engineering and Information Technology, Payame Noor University, Iran

Shiva Akhtarian MSc Student, Department of Computer Engineering and Information Technology, Payame Noor University, Iran Curren Trends in Technology and Science ISSN : 79-055 8hSASTech 04 Symposium on Advances in Science & Technology-Commission-IV Mashhad, Iran A New for Sofware Reliabiliy Evaluaion Based on NHPP wih Imperfec

More information

Module 2 F c i k c s la l w a s o s f dif di fusi s o i n

Module 2 F c i k c s la l w a s o s f dif di fusi s o i n Module Fick s laws of diffusion Fick s laws of diffusion and hin film soluion Adolf Fick (1855) proposed: d J α d d d J (mole/m s) flu (m /s) diffusion coefficien and (mole/m 3 ) concenraion of ions, aoms

More information

u(x) = e x 2 y + 2 ) Integrate and solve for x (1 + x)y + y = cos x Answer: Divide both sides by 1 + x and solve for y. y = x y + cos x

u(x) = e x 2 y + 2 ) Integrate and solve for x (1 + x)y + y = cos x Answer: Divide both sides by 1 + x and solve for y. y = x y + cos x . 1 Mah 211 Homework #3 February 2, 2001 2.4.3. y + (2/x)y = (cos x)/x 2 Answer: Compare y + (2/x) y = (cos x)/x 2 wih y = a(x)x + f(x)and noe ha a(x) = 2/x. Consequenly, an inegraing facor is found wih

More information

Chapter 1 Rotational dynamics 1.1 Angular acceleration

Chapter 1 Rotational dynamics 1.1 Angular acceleration Chaper Roaional dynamics. Angular acceleraion Learning objecives: Wha do we mean by angular acceleraion? How can we calculae he angular acceleraion of a roaing objec when i speeds up or slows down? How

More information