P-N Junction in equilibrium. Diode. Diode bias. Forward and reverse bias. Diode current-voltage characteristics. Models. Applications.

Size: px
Start display at page:

Download "P-N Junction in equilibrium. Diode. Diode bias. Forward and reverse bias. Diode current-voltage characteristics. Models. Applications."

Transcription

1 Unit 12: Semiconducto devices. Diode. P-N Junction in equilibium. Diode. Diode bias. Fowad and evese bias. Diode cuent-voltage chaacteistics. Models. Applications.

2 PN junction in equilibium Electons Holes P N At oom tempeatue, holes on p aea go by diffusion towadsn aea, and e - fomnaea coss to p aea (majoity caies cuents) K K J pdif J ndif X p 0 E Diffusion Cuents of majoity caies X n On junction aea, holes and e - ae ecombined, appeaing a naow depletion aea (without e - and holes) with a chage density due to the ions of the impuities, negative on p aea and positive onnaea. J pdift J ndift Dift Cuents of minoity caies So, an electic field appeas, flowing dift cuents of minoity caies (e - fom p to n aea, and holes fom n to p aea), canceling diffusion cuents.

3 PN junction in equilibium. Not biased junction. p 0 E n x p x n J dift J dift + J dif = 0 J dif On not biased p-n junction (o in equilibium), diffusion cuents of majoity caies ae cancelled by dift cuents of minoity caies. A P-N junction is a DODE

4 PN junction in equilibium. Featues. p p p0 N A n p0 X p -qn Ā ρ 0 Xp Xn n E 0 qn D + n n0 N D X n p n0 Chage caies density distibution. Chage distibution

5 PN junction in equilibium. Featues. X p Xp E 0 E Xn X n 0 Electic field on pn junction Dop of potential known as Built-in potencial X p X n 0 = 0.3 fo Ge diodes 0 = 0.7 fo Si diodes at 20 ºC

6 Diode bias. Fowad bias p E n J J Jdift des J J dif D D ceates an electic field opposite to the field on the depletion aea, being lowe E total and the dop of potential on the junction: = 0 - D. So, diffusion majoity cuent is inceased, and dift minoity cuent is deceased.

7 Diode bias. Fowad bias. p E n J dift J dif J D > 0 f D > 0, diffusion and dift cuents have same diection and cuent can be highe. Thee isn t opposition fo flowing of cuent.

8 Diode bias. Revese bias. p E n J dift J des J J J dif dif R 0 <<<< R ceates an electic field einfocing the field in the depletion aea, inceasing the dop of potential: = 0 + R. Depletion aea enlages. So, the diffusion cuent of majoitay caies deceases (holes fom p to n aea and e- fom n to p), and the dift cuent of minoitay caies should incease (e - fom p to n aea and holes fom n to p). But thee ae only few minoitay caies availables (geneated by themic geneation), and this cuent 0 is vey small, and it s called REERSE SATURATON CURRENT.

9 Diode cuent-voltage chaacteistic. 0 : Revese satuation cuent u : Diode fowad voltage dop 0,15 m Symbol fo diode: (ma) 0,05 p aea Anode n aea Cathode o 0 < µa u -0, (m) nvese of the slope (m) on high voltage egion is the intenal esistance of the diode ( d =1/m)

10 Models of diode Behaviou of diode can be modeled with thee appoachings: 1 st appoaching. deal diode: ε Not taken in account neithe u no d. Fowad biased, the diode is a shot-cicuit. Revese biased, the diode is an open cicuit. R R ε = ε R R R voltage-cuent chaacteistic fo a diode in 1 st appoaching ε ε =0

11 Models of diode 2 nd appoaching. Simplified model: Only taken in account diode fowad voltage dop: u = 0.3 fo Ge diode u = 0.7 fo Si diode 0 = 6 R=1kΩ 0 = 6 R=1kΩ u =0.7 u = R k 0 u = = 5.3mA voltage-cuent chaacteistic fo a diode in 2 nd appoaching

12 Models of diode 3 d appoaching. Linea diode: Taken in account both diode fowad voltage dop as diode intenal esistance. 1/ d ε= 6 R=1kΩ u =0,7 d =25 Ω u voltage-cuent chaacteistic fo a diode in 3 d appoaching R=1kΩ ε= 6 d = 25Ω u =0.7 ε u = = = R mA

13 Models of diode Thee models fo junction diode deal diode (1 st appoaching) Simplified model (2 nd appoaching) u u Linea model (3 d appoaching) u d d u

14 Revese ecovey time of diode Should be polaización Fowad biased diecta polaización Revese biased invesa t s.. t t i Revese tiempo de ecovey ecupeación time inveso

15 Application: Diode as ectifie Half-wave ectifie: output U t ~ input U t Full-wave ectifie: ~ input U output output Routput output ~ input t

16 Applications: logician cicuits AND and OR logic gates =10 1 Logic = 0 0 Logic AND gate with diodes OR gate with diodes A A R s s B s B R s R R >>>R s R 10 A B S 0 (0) 0 (0) 0,7 (0) 0 (0) 10 (1) 0,7 (0) 10 (1) 0 (0) 0,7 (0) 10 (1) 10 (1) 10 (1) A B S 0 (0) 0 (0) 0 (0) 10 (1) 0 (0) 9,3 (1) 0 (0) 10 (1) 9,3 (1) 10 (1) 10 (1) 9,3 (1)

(a) Unde zeo-bias conditions, thee ae no lled states on one side of the junction which ae at the same enegy as the empty allowed states on the othe si

(a) Unde zeo-bias conditions, thee ae no lled states on one side of the junction which ae at the same enegy as the empty allowed states on the othe si 1 Esaki Diode hen the concentation of impuity atoms in a pn-diode is vey high, the depletion laye width is educed to about 1 nm. Classically, a caie must have an enegy at least equal to the potential-baie

More information

55:041 Electronic Circuits

55:041 Electronic Circuits 55:041 Electonic icuits BJT eview Sections in hapte 5 & 6 in Textbook A. Kuge BJT eview, Page- 1 npn Output Family of uves A. Kuge BJT eview, Page- 2 npn BJT dc Equivalent evese biased Fowad biased i B

More information

Chapter 9. Spintransport in Semiconductors. Spinelektronik: Grundlagen und Anwendung spinabhängiger Transportphänomene 1

Chapter 9. Spintransport in Semiconductors. Spinelektronik: Grundlagen und Anwendung spinabhängiger Transportphänomene 1 Chapte 9 Spintanspot in Semiconductos : Gundlagen und Anwendung spinabhängige Tanspotphänomene 1 Winte 05/06 Why ae semiconductos of inteest in spintonics? They povide a contol of the chage as in conventional

More information

Current, Resistance and

Current, Resistance and Cuent, Resistance and Electomotive Foce Chapte 25 Octobe 2, 2012 Octobe 2, 2012 Physics 208 1 Leaning Goals The meaning of electic cuent, and how chages move in a conducto. What is meant by esistivity

More information

ev dm e evd 2 m e 1 2 ev2 B) e 2 0 dm e D) m e

ev dm e evd 2 m e 1 2 ev2 B) e 2 0 dm e D) m e . A paallel-plate capacito has sepaation d. The potential diffeence between the plates is V. If an electon with chage e and mass m e is eleased fom est fom the negative plate, its speed when it eaches

More information

SAMPLE PAPER I. Time Allowed : 3 hours Maximum Marks : 70

SAMPLE PAPER I. Time Allowed : 3 hours Maximum Marks : 70 SAMPL PAPR I Time Allowed : 3 hous Maximum Maks : 70 Note : Attempt All questions. Maks allotted to each question ae indicated against it. 1. The magnetic field lines fom closed cuves. Why? 1 2. What is

More information

Unit 7: Sources of magnetic field

Unit 7: Sources of magnetic field Unit 7: Souces of magnetic field Oested s expeiment. iot and Savat s law. Magnetic field ceated by a cicula loop Ampèe s law (A.L.). Applications of A.L. Magnetic field ceated by a: Staight cuent-caying

More information

Phys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1

Phys102 Second Major-182 Zero Version Monday, March 25, 2019 Page: 1 Monday, Mach 5, 019 Page: 1 Q1. Figue 1 shows thee pais of identical conducting sphees that ae to be touched togethe and then sepaated. The initial chages on them befoe the touch ae indicated. Rank the

More information

Chapter 31 Faraday s Law

Chapter 31 Faraday s Law Chapte 31 Faaday s Law Change oving --> cuent --> agnetic field (static cuent --> static agnetic field) The souce of agnetic fields is cuent. The souce of electic fields is chage (electic onopole). Altenating

More information

A new force Magnetic force. Today. Force Fields: A disturbance of space. The correspondence of a loop of current and magnet.

A new force Magnetic force. Today. Force Fields: A disturbance of space. The correspondence of a loop of current and magnet. Today A new foce Magnetic foce Announcements HW#6 and HW#7 ae both due Wednesday Mach 18th. Thanks to my being WAY behind schedule, you 2nd exam will be a take-home exam! Stay tuned fo details Even if

More information

AP Physics C: Electricity and Magnetism 2003 Scoring Guidelines

AP Physics C: Electricity and Magnetism 2003 Scoring Guidelines AP Physics C: Electicity and Magnetism 3 Scoing Guidelines The mateials included in these files ae intended fo use by AP teaches fo couse and exam pepaation; pemission fo any othe use must be sought fom

More information

FI 2201 Electromagnetism

FI 2201 Electromagnetism FI 2201 Electomagnetism Alexande A. Iskanda, Ph.D. Physics of Magnetism and Photonics Reseach Goup Electodynamics ELETROMOTIVE FORE AND FARADAY S LAW 1 Ohm s Law To make a cuent flow, we have to push the

More information

LABEL ± TH1(11) NTC.

LABEL ± TH1(11) NTC. CMRX- CMRX- LIO Geneal pupose Invetes, Sevo mplifies OULIE DRWIG & CIRCUI DIGRM φ. φ. φ.1 1. 1. 1 1 SECIO () (.) 1. (SCREWIG DEH) 1 +1 -. () B() GB() EB() () 9 1 1. (.) 1 1 1 1 (1.1) Gu() Eu(). Gu() Eu(9)

More information

LABEL ± TH1(11) NTC TH2(10)

LABEL ± TH1(11) NTC TH2(10) CM1RX- CM1RX- LIO Geneal pupose Invetes, Sevo mplifies OULIE DRWIG & CIRCUI DIGRM () (.) 1. (SCREWIG DEH) 1 +1 -. () 1. 1. 1 1 B() GB() EB() () φ. φ. φ.1 SECIO 9 1 1. Gu() Eu() Gu() Eu(9) (.) 1 1 1 1 (1.1).

More information

CHAPTER 3 DIODES. NTUEE Electronics L. H. Lu 3-1

CHAPTER 3 DIODES. NTUEE Electronics L. H. Lu 3-1 CHAPER 3 OE Chapte Outline 3.1 he eal ioe 3.2 eminal Chaacteistics of Junction ioes 3.3 Moeling the ioe Fowa Chaacteistics 3.4 Opeation in the Reese Beakown Region ene ioes 3.5 Rectifie Cicuits 3.6 Limiting

More information

Conventional Current B = In some materials current moving charges are positive: Ionic solution Holes in some materials (same charge as electron but +)

Conventional Current B = In some materials current moving charges are positive: Ionic solution Holes in some materials (same charge as electron but +) Conventional Cuent In some mateials cuent moving chages ae positive: Ionic solution Holes in some mateials (same chage as electon but +) Obseving magnetic field aound coppe wie: Can we tell whethe the

More information

Algebra-based Physics II

Algebra-based Physics II lgebabased Physics II Chapte 19 Electic potential enegy & The Electic potential Why enegy is stoed in an electic field? How to descibe an field fom enegetic point of view? Class Website: Natual way of

More information

For the following statements, mark ( ) for true statement and (X) for wrong statement and correct it.

For the following statements, mark ( ) for true statement and (X) for wrong statement and correct it. Benha University Faculty of Engineering Shoubra Electrical Engineering Department First Year communications. Answer all the following questions Illustrate your answers with sketches when necessary. The

More information

Look over Chapter 22 sections 1-8 Examples 2, 4, 5, Look over Chapter 16 sections 7-9 examples 6, 7, 8, 9. Things To Know 1/22/2008 PHYS 2212

Look over Chapter 22 sections 1-8 Examples 2, 4, 5, Look over Chapter 16 sections 7-9 examples 6, 7, 8, 9. Things To Know 1/22/2008 PHYS 2212 PHYS 1 Look ove Chapte sections 1-8 xamples, 4, 5, PHYS 111 Look ove Chapte 16 sections 7-9 examples 6, 7, 8, 9 Things To Know 1) What is an lectic field. ) How to calculate the electic field fo a point

More information

VALLIAMMAI ENGINEERING COLLEGE

VALLIAMMAI ENGINEERING COLLEGE VALLIAMMAI ENGINEERING COLLEGE SRM Naga, Kattankulathu 603 203 DEPARTMENT OF PHYSICS QUESTION BANK II SEMESTER PH8253 - PHYSICS FOR ELECTRONICS ENGINEERING (Common to ECE, EEE, E&I) Regulation 2017 Academic

More information

Phys-272 Lecture 17. Motional Electromotive Force (emf) Induced Electric Fields Displacement Currents Maxwell s Equations

Phys-272 Lecture 17. Motional Electromotive Force (emf) Induced Electric Fields Displacement Currents Maxwell s Equations Phys-7 Lectue 17 Motional Electomotive Foce (emf) Induced Electic Fields Displacement Cuents Maxwell s Equations Fom Faaday's Law to Displacement Cuent AC geneato Magnetic Levitation Tain Review of Souces

More information

Exam 3, vers Physics Spring, 2003

Exam 3, vers Physics Spring, 2003 1 of 9 Exam 3, ves. 0001 - Physics 1120 - Sping, 2003 NAME Signatue Student ID # TA s Name(Cicle one): Michael Scheffestein, Chis Kelle, Paisa Seelungsawat Stating time of you Tues ecitation (wite time

More information

PHY 213. General Physics II Test 2.

PHY 213. General Physics II Test 2. Univesity of Kentucky Depatment of Physics an Astonomy PHY 3. Geneal Physics Test. Date: July, 6 Time: 9:-: Answe all questions. Name: Signatue: Section: Do not flip this page until you ae tol to o so.

More information

18.1 Origin of Electricity 18.2 Charged Objects and Electric Force

18.1 Origin of Electricity 18.2 Charged Objects and Electric Force 1 18.1 Oigin of lecticity 18. Chaged Objects and lectic Foce Thee ae two kinds of electic chage: positive and negative. The SI unit of electic chage is the coulomb (C). The magnitude of the chage on an

More information

Gauss s Law: Circuits

Gauss s Law: Circuits Gauss s Law: Cicuits Can we have excess chage inside in steady state? E suface nˆ A q inside E nˆ A E nˆ A left _ suface ight _ suface q inside 1 Gauss s Law: Junction Between two Wies n 2

More information

1 2 U CV. K dq I dt J nqv d J V IR P VI

1 2 U CV. K dq I dt J nqv d J V IR P VI o 5 o T C T F 9 T K T o C 7.5 L L T V VT Q mct nct Q F V ml F V dq A H k TH TC dt L pv nt Kt nt CV ideal monatomic gas 5 CV ideal diatomic gas w/o vibation V W pdv V U Q W W Q e Q Q e Canot H C T T S C

More information

? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B.

? this lecture. ? next lecture. What we have learned so far. a Q E F = q E a. F = q v B a. a Q in motion B. db/dt E. de/dt B. PHY 249 Lectue Notes Chapte 32: Page 1 of 12 What we have leaned so fa a a F q a a in motion F q v a a d/ Ae thee othe "static" chages that can make -field? this lectue d/? next lectue da dl Cuve Cuve

More information

Phys 1215, First Test. September 20, minutes Name:

Phys 1215, First Test. September 20, minutes Name: Phys 115, Fist Test. Septembe 0, 011 50 minutes Name: Show all wok fo maximum cedit. Each poblem is woth 10 points. k =.0 x 10 N m / C ε 0 = 8.85 x 10-1 C / N m e = 1.60 x 10-1 C ρ = 1.68 x 10-8 Ω m fo

More information

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007 School of Electical and Compute Engineeing, Conell Univesity ECE 303: Electomagnetic Fields and Waves Fall 007 Homewok 8 Due on Oct. 19, 007 by 5:00 PM Reading Assignments: i) Review the lectue notes.

More information

Experiment I Voltage Variation and Control

Experiment I Voltage Variation and Control ELE303 Electicity Netwoks Expeiment I oltage aiation and ontol Objective To demonstate that the voltage diffeence between the sending end of a tansmission line and the load o eceiving end depends mainly

More information

THE MAGNETIC FIELD. This handout covers: The magnetic force between two moving charges. The magnetic field, B, and magnetic field lines

THE MAGNETIC FIELD. This handout covers: The magnetic force between two moving charges. The magnetic field, B, and magnetic field lines EM 005 Handout 7: The Magnetic ield 1 This handout coes: THE MAGNETIC IELD The magnetic foce between two moing chages The magnetic field,, and magnetic field lines Magnetic flux and Gauss s Law fo Motion

More information

Review for Midterm-1

Review for Midterm-1 Review fo Midtem-1 Midtem-1! Wednesday Sept. 24th at 6pm Section 1 (the 4:10pm class) exam in BCC N130 (Business College) Section 2 (the 6:00pm class) exam in NR 158 (Natual Resouces) Allowed one sheet

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b lectomagnetism Physics 15b Lectue #20 Dielectics lectic Dipoles Pucell 10.1 10.6 What We Did Last Time Plane wave solutions of Maxwell s equations = 0 sin(k ωt) B = B 0 sin(k ωt) ω = kc, 0 = B, 0 ˆk =

More information

Phys 222 Sp 2009 Exam 1, Wed 18 Feb, 8-9:30pm Closed Book, Calculators allowed Each question is worth one point, answer all questions

Phys 222 Sp 2009 Exam 1, Wed 18 Feb, 8-9:30pm Closed Book, Calculators allowed Each question is worth one point, answer all questions Phys Sp 9 Exam, Wed 8 Feb, 8-9:3pm Closed Book, Calculatos allowed Each question is woth one point, answe all questions Fill in you Last Name, Middle initial, Fist Name You ID is the middle 9 digits on

More information

Lecture 12: MOS Capacitors, transistors. Context

Lecture 12: MOS Capacitors, transistors. Context Lecture 12: MOS Capacitors, transistors Context In the last lecture, we discussed PN diodes, and the depletion layer into semiconductor surfaces. Small signal models In this lecture, we will apply those

More information

Sensing, Computing, Actuating

Sensing, Computing, Actuating Sensing, Computing, Actuating Sande Stuij (s.stuij@tue.nl) Depatment of Electical Engineeing Electonic Systems SENSING TEMPEATUE, SELF-HEATING (Chapte.,., 5.) 3 Engine coolant tempeatue senso https://www.youtube.com/watch?=q5637fsca

More information

M.M.A HIGHER SECONDARY SCHOOL - PAPPANADU 12 TH PHYSICS - HALF YEARLY EXAM ANSWER KEY

M.M.A HIGHER SECONDARY SCHOOL - PAPPANADU 12 TH PHYSICS - HALF YEARLY EXAM ANSWER KEY http://www.tbtnpsc.com/07//plus-two-th-half-yealy-exam-questions-pape-answe-key-download-07.html M.M.A HIGHER SEONDARY SHOOL - PAPPANADU TH PHYSIS - HALF YEARLY EXAM ANSWER KEY 07-08 STD : XII - EM PART

More information

PHY 114 A General Physics II 11 AM-12:15 PM TR Olin 101

PHY 114 A General Physics II 11 AM-12:15 PM TR Olin 101 PHY 114 A Geneal Physics II 11 AM-1:15 PM TR Olin 11 Plan fo Lectue 1 Chaptes 3): Souces of Magnetic fields 1. Pemanent magnets.biot-savat Law; magnetic fields fom a cuent-caying wie 3.Ampee Law 4.Magnetic

More information

ELECTROSTATICS::BHSEC MCQ 1. A. B. C. D.

ELECTROSTATICS::BHSEC MCQ 1. A. B. C. D. ELETROSTATIS::BHSE 9-4 MQ. A moving electic chage poduces A. electic field only. B. magnetic field only.. both electic field and magnetic field. D. neithe of these two fields.. both electic field and magnetic

More information

16.1 Permanent magnets

16.1 Permanent magnets Unit 16 Magnetism 161 Pemanent magnets 16 The magnetic foce on moving chage 163 The motion of chaged paticles in a magnetic field 164 The magnetic foce exeted on a cuent-caying wie 165 Cuent loops and

More information

Lecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field

Lecture 3.7 ELECTRICITY. Electric charge Coulomb s law Electric field Lectue 3.7 ELECTRICITY Electic chage Coulomb s law Electic field ELECTRICITY Inteaction between electically chages objects Many impotant uses Light Heat Rail tavel Computes Cental nevous system Human body

More information

EECS130 Integrated Circuit Devices

EECS130 Integrated Circuit Devices EECS130 Integrated Circuit Devices Professor Ali Javey 9/18/2007 P Junctions Lecture 1 Reading: Chapter 5 Announcements For THIS WEEK OLY, Prof. Javey's office hours will be held on Tuesday, Sept 18 3:30-4:30

More information

A MICRODISCHARGE BASED PRESURE SENSOR*

A MICRODISCHARGE BASED PRESURE SENSOR* A MICRODISCHARGE BASED PRESURE SENSOR* Jun-Chieh Wang a), Zhongmin Xiong a), Chistine Eun a), Xin Luo a), Yogesh Gianchandani a) and Mak J. Kushne a) a), Ann Abo, MI 48109 USA unchwan@umich.edu, zxiong@umich.edu,

More information

Module 12: Current and Resistance 1

Module 12: Current and Resistance 1 Module 12: Cuent and Resistance 1 Table of Contents 6.1 Electic Cuent... 6-2 6.1.1 Cuent Density... 6-2 6.2 Ohm s Law... 6-4 6.3 Electical Enegy and Powe... 6-7 6.4 Summay... 6-8 6.5 Solved Poblems...

More information

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m

Calculate the electric potential at B d2=4 m Calculate the electric potential at A d1=3 m 3 m 3 m MTE : Ch 13 5:3-7pm on Oct 31 ltenate Exams: Wed Ch 13 6:3pm-8:pm (people attending the altenate exam will not be allowed to go out of the oom while othes fom pevious exam ae still aound) Thu @ 9:-1:3

More information

(r) = 1. Example: Electric Potential Energy. Summary. Potential due to a Group of Point Charges 9/10/12 1 R V(r) + + V(r) kq. Chapter 23.

(r) = 1. Example: Electric Potential Energy. Summary. Potential due to a Group of Point Charges 9/10/12 1 R V(r) + + V(r) kq. Chapter 23. Eample: Electic Potential Enegy What is the change in electical potential enegy of a eleased electon in the atmosphee when the electostatic foce fom the nea Eath s electic field (diected downwad) causes

More information

Semiconductor Physics and Devices

Semiconductor Physics and Devices The pn Junction 1) Charge carriers crossing the junction. 3) Barrier potential Semiconductor Physics and Devices Chapter 8. The pn Junction Diode 2) Formation of positive and negative ions. 4) Formation

More information

Lecture-4 Junction Diode Characteristics

Lecture-4 Junction Diode Characteristics 1 Lecture-4 Junction Diode Characteristics Part-II Q: Aluminum is alloyed into n-type Si sample (N D = 10 16 cm 3 ) forming an abrupt junction of circular cross-section, with an diameter of 0.02 in. Assume

More information

Review of Potential Energy. The Electric Potential. Plotting Fields and Potentials. Electric Potential of a Point Charge

Review of Potential Energy. The Electric Potential. Plotting Fields and Potentials. Electric Potential of a Point Charge eview of Potential negy Potential enegy U() can be used to descibe a consevative foce. efeence point (U) can be chosen fo convenience. Wok done by F : W F d s F d (1D) Change in P.. : U U f U i W Foce

More information

Faraday s Law. Faraday s Law. Faraday s Experiments. Faraday s Experiments. Magnetic Flux. Chapter 31. Law of Induction (emf( emf) Faraday s Law

Faraday s Law. Faraday s Law. Faraday s Experiments. Faraday s Experiments. Magnetic Flux. Chapter 31. Law of Induction (emf( emf) Faraday s Law Faaday s Law Faaday s Epeiments Chapte 3 Law of nduction (emf( emf) Faaday s Law Magnetic Flu Lenz s Law Geneatos nduced Electic fields Michael Faaday discoeed induction in 83 Moing the magnet induces

More information

EM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1)

EM-2. 1 Coulomb s law, electric field, potential field, superposition q. Electric field of a point charge (1) EM- Coulomb s law, electic field, potential field, supeposition q ' Electic field of a point chage ( ') E( ) kq, whee k / 4 () ' Foce of q on a test chage e at position is ee( ) Electic potential O kq

More information

Multipole Radiation. February 29, The electromagnetic field of an isolated, oscillating source

Multipole Radiation. February 29, The electromagnetic field of an isolated, oscillating source Multipole Radiation Febuay 29, 26 The electomagnetic field of an isolated, oscillating souce Conside a localized, oscillating souce, located in othewise empty space. We know that the solution fo the vecto

More information

Lecture 2 Date:

Lecture 2 Date: Lectue 2 Date: 5.1.217 Definition of Some TL Paametes Examples of Tansmission Lines Tansmission Lines (contd.) Fo a lossless tansmission line the second ode diffeential equation fo phasos ae: LC 2 d I

More information

Review. Electrostatic. Dr. Ray Kwok SJSU

Review. Electrostatic. Dr. Ray Kwok SJSU Review Electostatic D. Ray Kwok SJSU Paty Balloons Coulomb s Law F e q q k 1 Coulomb foce o electical foce. (vecto) Be caeful on detemining the sign & diection. k 9 10 9 (N m / C ) k 1 4πε o k is the Coulomb

More information

Physics 313 Practice Test Page 1. University Physics III Practice Test II

Physics 313 Practice Test Page 1. University Physics III Practice Test II Physics 313 Pactice Test Page 1 Univesity Physics III Pactice Test II This pactice test should give you a ough idea of the fomat and oveall level of the Physics 313 exams. The actual exams will have diffeent

More information

Solid State Electronics. Final Examination

Solid State Electronics. Final Examination The University of Toledo EECS:4400/5400/7400 Solid State Electronic Section elssf08fs.fm - 1 Solid State Electronics Final Examination Problems Points 1. 1. 14 3. 14 Total 40 Was the exam fair? yes no

More information

p-n junction biasing, p-n I-V characteristics, p-n currents Norlaili Mohd. Noh EEE /09

p-n junction biasing, p-n I-V characteristics, p-n currents Norlaili Mohd. Noh EEE /09 CLASS 6&7 p-n junction biasing, p-n I-V characteristics, p-n currents 1 p-n junction biasing Unbiased p-n junction: the potential barrier is 0.7 V for Si and 0.3 V for Ge. Nett current across the p-n junction

More information

Unit 7. Sources of magnetic field

Unit 7. Sources of magnetic field Unit 7 ouces of magnetic field 7.1 ntoduction 7. Oested s expeiment 7.3 iot and avat s law 7.4 Magnetic flux 7.5 Ampèe s law 7.6 Magnetism in matte 7.7 Poblems Objectives Use the iot and avat s law to

More information

Faraday s Law (continued)

Faraday s Law (continued) Faaday s Law (continued) What causes cuent to flow in wie? Answe: an field in the wie. A changing magnetic flux not only causes an MF aound a loop but an induced electic field. Can wite Faaday s Law: ε

More information

PHYS 1444 Lecture #5

PHYS 1444 Lecture #5 Shot eview Chapte 24 PHYS 1444 Lectue #5 Tuesday June 19, 212 D. Andew Bandt Capacitos and Capacitance 1 Coulom s Law The Fomula QQ Q Q F 1 2 1 2 Fomula 2 2 F k A vecto quantity. Newtons Diection of electic

More information

ANNUAL EXAMINATION - ANSWER KEY II PUC - PHYSICS

ANNUAL EXAMINATION - ANSWER KEY II PUC - PHYSICS ANNUAL EXAMINATION - ANSWE KEY -08 II PUC - PHYSICS I.. PAT A What is an an equipotential suface? Suface with same potential at evey point on it.. Define dift velocity of fee electons. Effective velocity

More information

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other

17.1 Electric Potential Energy. Equipotential Lines. PE = energy associated with an arrangement of objects that exert forces on each other Electic Potential Enegy, PE Units: Joules Electic Potential, Units: olts 17.1 Electic Potential Enegy Electic foce is a consevative foce and so we can assign an electic potential enegy (PE) to the system

More information

Module 18: Outline. Magnetic Dipoles Magnetic Torques

Module 18: Outline. Magnetic Dipoles Magnetic Torques Module 18: Magnetic Dipoles 1 Module 18: Outline Magnetic Dipoles Magnetic Toques 2 IA nˆ I A Magnetic Dipole Moment μ 3 Toque on a Cuent Loop in a Unifom Magnetic Field 4 Poblem: Cuent Loop Place ectangula

More information

Design of CMOS Analog Integrated Circuits. Basic Building Block

Design of CMOS Analog Integrated Circuits. Basic Building Block Desin of CMOS Analo Inteated Cicuits Fanco Malobeti Basic Buildin Block F. Malobeti : Desin of CMOS Analo Inteated Cicuits - Basic Buildin Block INERTER WITH ACTIE LOAD The simplest fom of ain stae, the

More information

MAGNETIC FIELD INTRODUCTION

MAGNETIC FIELD INTRODUCTION MAGNETIC FIELD INTRODUCTION It was found when a magnet suspended fom its cente, it tends to line itself up in a noth-south diection (the compass needle). The noth end is called the Noth Pole (N-pole),

More information

II. MRI Technology. B. Localized Information. Lorenz Mitschang Physikalisch-Technische Bundesanstalt, 29 th June 2009

II. MRI Technology. B. Localized Information. Lorenz Mitschang Physikalisch-Technische Bundesanstalt,   29 th June 2009 Magnetic Resonance Imaging II. MRI Technology A. Limitations to patial Infomation B. Localized Infomation Loenz Mitschang Physikalisch-Technische Bundesanstalt, www.ptb.de 9 th June 009 A. Limitations

More information

EKT 356 MICROWAVE COMMUNICATIONS CHAPTER 2: PLANAR TRANSMISSION LINES

EKT 356 MICROWAVE COMMUNICATIONS CHAPTER 2: PLANAR TRANSMISSION LINES EKT 356 MICROWAVE COMMUNICATIONS CHAPTER : PLANAR TRANSMISSION LINES 1 Tansmission Lines A device used to tansfe enegy fom one point to anothe point efficiently Efficiently minimum loss, eflection and

More information

Electromagnetic Waves

Electromagnetic Waves Chapte 32 Electomagnetic Waves PowePoint Lectues fo Univesity Physics, Twelfth Edition Hugh D. Young and Roge A. Feedman Lectues by James Pazun Modified P. Lam 8_11_2008 Topics fo Chapte 32 Maxwell s equations

More information

Modeling Fermi Level Effects in Atomistic Simulations

Modeling Fermi Level Effects in Atomistic Simulations Mat. Res. Soc. Symp. Poc. Vol. 717 Mateials Reseach Society Modeling Femi Level Effects in Atomistic Simulations Zudian Qin and Scott T. Dunham Depatment of Electical Engineeing, Univesity of Washington,

More information

Gauss Law. Physics 231 Lecture 2-1

Gauss Law. Physics 231 Lecture 2-1 Gauss Law Physics 31 Lectue -1 lectic Field Lines The numbe of field lines, also known as lines of foce, ae elated to stength of the electic field Moe appopiately it is the numbe of field lines cossing

More information

15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer.

15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer. Kiangsu-Chekiang College (Shatin) F:EasteHolidaysAssignmentAns.doc Easte Holidays Assignment Answe Fom 6B Subject: Physics. (a) State the conditions fo a body to undego simple hamonic motion. ( mak) (a)

More information

Phys-272 Lecture 18. Mutual Inductance Self-Inductance R-L Circuits

Phys-272 Lecture 18. Mutual Inductance Self-Inductance R-L Circuits Phys-7 ectue 8 Mutual nductance Self-nductance - Cicuits Mutual nductance f we have a constant cuent i in coil, a constant magnetic field is ceated and this poduces a constant magnetic flux in coil. Since

More information

Physics 2212 GH Quiz #2 Solutions Spring 2016

Physics 2212 GH Quiz #2 Solutions Spring 2016 Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying

More information

Magnetohydrodynamics (MHD) I

Magnetohydrodynamics (MHD) I Magnetohydodynamics (MHD) I Yong-Su Na National Fusion Reseach Cente POSTECH, Koea, 8-10 May, 006 Contents 1. Review Confinement & Single Paticle Motion. Plasmas as Fluids Fluid Equations 3. MHD Equations

More information

EKT 345 MICROWAVE ENGINEERING CHAPTER 2: PLANAR TRANSMISSION LINES

EKT 345 MICROWAVE ENGINEERING CHAPTER 2: PLANAR TRANSMISSION LINES EKT 345 MICROWAVE ENGINEERING CHAPTER : PLANAR TRANSMISSION LINES 1 Tansmission Lines A device used to tansfe enegy fom one point to anothe point efficiently Efficiently minimum loss, eflection and close

More information

Tunnel Diodes (Esaki Diode)

Tunnel Diodes (Esaki Diode) Tunnel Diodes (Esaki Diode) Tunnel diode is the p-n junction device that exhibits negative resistance. That means when the voltage is increased the current through it decreases. Esaki diodes was named

More information

RESONANCE SERIES RESONANT CIRCUITS. 5/2007 Enzo Paterno 1

RESONANCE SERIES RESONANT CIRCUITS. 5/2007 Enzo Paterno 1 ESONANCE SEIES ESONANT CICUITS 5/007 Enzo Pateno ESONANT CICUITS A vey impotant cicuit, used in a wide vaiety o electical and electonic systems today (i.e. adio & television tunes), is called the esonant

More information

Ch 30 - Sources of Magnetic Field! The Biot-Savart Law! = k m. r 2. Example 1! Example 2!

Ch 30 - Sources of Magnetic Field! The Biot-Savart Law! = k m. r 2. Example 1! Example 2! Ch 30 - Souces of Magnetic Field 1.) Example 1 Detemine the magnitude and diection of the magnetic field at the point O in the diagam. (Cuent flows fom top to bottom, adius of cuvatue.) Fo staight segments,

More information

Basic Bridge Circuits

Basic Bridge Circuits AN7 Datafoth Copoation Page of 6 DID YOU KNOW? Samuel Hunte Chistie (784-865) was bon in London the son of James Chistie, who founded Chistie's Fine At Auctionees. Samuel studied mathematics at Tinity

More information

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism Physics 2020, Sping 2005 Lab 5 page 1 of 8 Lab 5. Magnetism PART I: INTRODUCTION TO MAGNETS This week we will begin wok with magnets and the foces that they poduce. By now you ae an expet on setting up

More information

Chapter 25: Current, Resistance and Electromotive Force. ~10-4 m/s Typical speeds ~ 10 6 m/s

Chapter 25: Current, Resistance and Electromotive Force. ~10-4 m/s Typical speeds ~ 10 6 m/s Chpte 5: Cuent, esistnce nd lectomotive Foce Chge cie motion in conducto in two pts Constnt Acceletion F m q ndomizing Collisions (momentum, enegy) >esulting Motion http://phys3p.sl.psu.edu/phys_nim/m/ndom_wlk.vi

More information

Physics 202, Lecture 2

Physics 202, Lecture 2 Physics 202, Lectue 2 Todays Topics Electic Foce and Electic Fields Electic Chages and Electic Foces Coulomb's Law Physical Field The Electic Field Electic Field Lines Motion of Chaged Paticle in Electic

More information

General Railgun Function

General Railgun Function Geneal ailgun Function An electomagnetic ail gun uses a lage Loentz foce to fie a pojectile. The classic configuation uses two conducting ails with amatue that fits between and closes the cicuit between

More information

UNIT # 08 CURRENT ELECTRICITY

UNIT # 08 CURRENT ELECTRICITY XS UNT # 8 UNT LTTY. j uent density n hage density j nev d v d j v d n e, n n n v d n n : v n n d. j nev d n j n e 9. Node-6\:\ata\\Kota\J-dvanced\SMP\Phy\Solution\Unit-7 & 8\-uent lecticity.p65 d nev

More information

Power efficiency and optimum load formulas on RF rectifiers featuring flow-angle equations

Power efficiency and optimum load formulas on RF rectifiers featuring flow-angle equations LETTE IEICE Electonics Expess, Vol.10, No.11, 1 9 Powe efficiency and optimum load fomulas on F ectifies featuing flow-angle equations Takashi Ohia a) Toyohashi Univesity of Technology, 1 1 Hibaigaoka,

More information

Lecture 15 - The pn Junction Diode (I) I-V Characteristics. November 1, 2005

Lecture 15 - The pn Junction Diode (I) I-V Characteristics. November 1, 2005 6.012 - Microelectronic Devices and Circuits - Fall 2005 Lecture 15-1 Lecture 15 - The pn Junction Diode (I) I-V Characteristics November 1, 2005 Contents: 1. pn junction under bias 2. I-V characteristics

More information

Antennas & Propagation

Antennas & Propagation Antennas & Popagation 1 Oveview of Lectue II -Wave Equation -Example -Antenna Radiation -Retaded potential THE KEY TO ANY OPERATING ANTENNA ot H = J +... Suppose: 1. Thee does exist an electic medium,

More information

( ) Make-up Tests. From Last Time. Electric Field Flux. o The Electric Field Flux through a bit of area is

( ) Make-up Tests. From Last Time. Electric Field Flux. o The Electric Field Flux through a bit of area is Mon., 3/23 Wed., 3/25 Thus., 3/26 Fi., 3/27 Mon., 3/30 Tues., 3/31 21.4-6 Using Gauss s & nto to Ampee s 21.7-9 Maxwell s, Gauss s, and Ampee s Quiz Ch 21, Lab 9 Ampee s Law (wite up) 22.1-2,10 nto to

More information

CLASS 12th. Semiconductors

CLASS 12th. Semiconductors CLASS 12th Semiconductors 01. Distinction Between Metals, Insulators and Semi-Conductors Metals are good conductors of electricity, insulators do not conduct electricity, while the semiconductors have

More information

Numerical Integration

Numerical Integration MCEN 473/573 Chapte 0 Numeical Integation Fall, 2006 Textbook, 0.4 and 0.5 Isopaametic Fomula Numeical Integation [] e [ ] T k = h B [ D][ B] e B Jdsdt In pactice, the element stiffness is calculated numeically.

More information

Supplementary Figure 1. Circular parallel lamellae grain size as a function of annealing time at 250 C. Error bars represent the 2σ uncertainty in

Supplementary Figure 1. Circular parallel lamellae grain size as a function of annealing time at 250 C. Error bars represent the 2σ uncertainty in Supplementay Figue 1. Cicula paallel lamellae gain size as a function of annealing time at 50 C. Eo bas epesent the σ uncetainty in the measued adii based on image pixilation and analysis uncetainty contibutions

More information

PHYS 2135 Exam I February 13, 2018

PHYS 2135 Exam I February 13, 2018 Exam Total /200 PHYS 2135 Exam I Febuay 13, 2018 Name: Recitation Section: Five multiple choice questions, 8 points each Choose the best o most nealy coect answe Fo questions 6-9, solutions must begin

More information

A moving charged particle creates a magnetic field vector at every point in space except at its position.

A moving charged particle creates a magnetic field vector at every point in space except at its position. 1 Pat 3: Magnetic Foce 3.1: Magnetic Foce & Field A. Chaged Paticles A moving chaged paticle ceates a magnetic field vecto at evey point in space ecept at its position. Symbol fo Magnetic Field mks units

More information

TUTORIAL 9. Static magnetic field

TUTORIAL 9. Static magnetic field TUTOIAL 9 Static magnetic field Vecto magnetic potential Null Identity % & %$ A # Fist postulation # " B such that: Vecto magnetic potential Vecto Poisson s equation The solution is: " Substitute it into

More information

11) A thin, uniform rod of mass M is supported by two vertical strings, as shown below.

11) A thin, uniform rod of mass M is supported by two vertical strings, as shown below. Fall 2007 Qualifie Pat II 12 minute questions 11) A thin, unifom od of mass M is suppoted by two vetical stings, as shown below. Find the tension in the emaining sting immediately afte one of the stings

More information

Sources of Magnetic Fields (chap 28)

Sources of Magnetic Fields (chap 28) Souces of Magnetic Fields (chap 8) In chapte 7, we consideed the magnetic field effects on a moving chage, a line cuent and a cuent loop. Now in Chap 8, we conside the magnetic fields that ae ceated by

More information

V G. In this class, we will look at a possible hypothesis for way the time dependence is t

V G. In this class, we will look at a possible hypothesis for way the time dependence is t ECE65R : Reliability Physics of anoelectonic Devices Lectue : CI Time Exponents Date : Dec. 4, 6 Classnote : Saakshi Gangwal Review : Lutfe A Siddiqui. Review We have spent seveal weeks discussing discussing

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences EE 105: Microelectronic Devices and Circuits Spring 2008 MIDTERM EXAMINATION #1 Time

More information

Fields and Waves I Spring 2005 Homework 8. Due: 3 May 2005

Fields and Waves I Spring 2005 Homework 8. Due: 3 May 2005 Fields and Waves I Sping 005 Homewok 8 Tansmission Lines Due: 3 May 005. Multiple Choice (6) a) The SWR (standing wave atio): a) is a measue of the match between the souce impedance and line impedance

More information

r r q Coulomb s law: F =. Electric field created by a charge q: E = = enclosed Gauss s law (electric flux through a closed surface): E ds σ ε0

r r q Coulomb s law: F =. Electric field created by a charge q: E = = enclosed Gauss s law (electric flux through a closed surface): E ds σ ε0 Q E ds = enclosed ε S 0 08 Fomulae Sheet 1 q 1q q Coulomb s law: F =. Electic field ceated by a chage q: E = 4πε 4πε Pemittivity of fee space: 0 1 = 9 10 4πε 0 9 Newton mete / coulomb = 9 10 9 0 N m Q

More information