Annotation The presented experiment is a proof of the fact that a stationary flow of electromagnetic energy creates electromagnetic induction.

Size: px
Start display at page:

Download "Annotation The presented experiment is a proof of the fact that a stationary flow of electromagnetic energy creates electromagnetic induction."

Transcription

1 Khmelnik S.I. The Expeiment Confiming the Existence of the Fouth Electomagnetic Induction Annotation The pesented expeiment is a poof of the fact that a stationay flow of electomagnetic enegy ceates electomagnetic induction. Contents 1. Intoduction 2. The Expeiment 3. The Expeiment Analysis Refeences 1. Intoduction In [1] it is eing poved that thee exists a so-called fouth electomagnetic induction ceated y the electomagnetic enegy flow. It is eing poved that such induction is eing ceated also in a stationay flow of electomagnetic enegy. The poof can e given y an expeiment that cannot e explained in any othe way. Recently the autho has discoveed a desciption of an expeiment [2] which (in the autho's opinion) can e explained only y the fact that electomagnetic induction is ceated also y a stationay flow of electomagnetic enegy. 2. The Expeiment In [2] descies the following expeiment see Fig. 1 fom [2], whee 1 coppe conducto of diamete 5 mm and length 200 mm, 2 spial-shape coppe wie of diamete 1 mm, spial diamete 30 mm, 3 "excitation winding' aound the wie 2, nume of tuns 1700, G galvanomete. The main expeiment was as follows. Diect cuent I flowed though the excitation winding. Simultaneously a diect cuent I np, измеряемый гальванометром G, flows though the conducto 1. The cuent I сhanged fom 0.05 till 0.2A. The otained dependence I f ( I ) was linea. In paticula, if I 13 np mka, then I 0. 18A. np 1

2 Fig. 1. Anothe expeiment was as follows. Two conductos with thei spial-shaped excitation windings wee connected in paallel see Fig. 2 whee 1 is the fist conducto, 2 the second conducto, 3 and 4 excitation windings of the fist and second conductos accodingly. When connecting the windings oppositely, the cuent I 0. But when the np excitation windings wee connected accodingly "the cuents values ecame so high, that the galvanomete needle instantly went off scale", which coesponded to I 13 np mka. 2 Fig. 2.

3 The authos of expeiment indicate that "thee exist seveal explanations of the otained effect" [3, 4]. On the ase of the aove desciptions these expeiments can e explained using only the Maxwell equations. So it can e agued that these expeiments ae an expeimental poof of the existence of a fouth electomagnetic induction. 1 I 3 D C O B2 A B1 Fig. 3. 3

4 3. The Expeiment Analysis Let us conside Fig. 3, showing a Fagment of Excitation winding 3. This fagment epesents a tooidal solenoid whee cuent I is flowing. On evey tun of this solenoid the cuent I ceates a magnetic field with induction B 1. The solenoid coves the coppe conducto 1. The magnetic field of sepaate tuns as a whole ceates inside the conducto 1 a cicula magnetic field with induction B 2. In this way the excitation winding 3 has ceated along all the conducto 1 length a cicula field with induction B 2. Thus induction coesponds to a magnetic intensity which we'll denote as H. Hee is the adius of the cicle ОС. It is impotant to note that y symmety the intensity H depends only on (ut does not depend on the location of adius). With a lage esistance of excitation winding thee exists potential diffeence etween any point's А and D of the tooidal solenoid. The coesponding intensity of electical field in a point С has a pojection on the adius passing the point С. The sum of all such pojections (fom chods passing the point С) we shall denote as E. It is impotant to note that y symmety the intensity E depends only on (ut does not depend on the location of adius). So the excitation winding 3 excites in the conducto 1 a cicula magnetic intensity H and adial electical intensity. These intensities ceate a flow of electomagnetic enegy with the density S ( ) E ( ) H ( ). (1) This enegy flow is diected along the axis of the conducto 1. The flow passing a cicle of a adius, is S ( ) 4 2 S ( ) d. (2) The full enegy flow along the axis S S ) d (. (3) Is equal to powe P, tansmitted y the conducto, and is dissipated in the esistance of conducto 1. Thus, if admit the existence of the fouth electomagnetic induction (which was poved theoetically in [1]), then the consideed expeiment ecomes explainale. E 4

5 Refeences 1. Khmelnik S.I. The Fouth Electomagnetic Induction 'vixa Funding', 2. Toshin V.V., Busygin B.P., Pashchenko F.F., Kukovskiy L.E. The effect of constant electic cuent geneation in the stationay conducto in a constant magnetic field. The Institute of Contol Polems of Russian Science Academy named afte V.A. Tapenikov. The Almanac of Moden Science and Education, issue 12, 2008, in Russian, 3. Toshin V.V., Busygin B.P. Theoetical ackgound discovey of the effect of constant electic cuent geneation in the stationay conducto in a constant magnetic field, iid, 4. Toshin V.V., Busygin B.P., Pashchenko F.F. Logical methods in electodynamics. - M.: CP WASIZDAST, p., in Russian. 5

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

Force between two parallel current wires and Newton s. third law

Force between two parallel current wires and Newton s. third law Foce between two paallel cuent wies and Newton s thid law Yannan Yang (Shanghai Jinjuan Infomation Science and Technology Co., Ltd.) Abstact: In this pape, the essence of the inteaction between two paallel

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

Magnetic Fields Due to Currents

Magnetic Fields Due to Currents PH -C Fall 1 Magnetic Fields Due to Cuents Lectue 14 Chapte 9 (Halliday/esnick/Walke, Fundamentals of Physics 8 th edition) 1 Chapte 9 Magnetic Fields Due to Cuents In this chapte we will exploe the elationship

More information

Magnetic fields (origins) CHAPTER 27 SOURCES OF MAGNETIC FIELD. Permanent magnets. Electric currents. Magnetic field due to a moving charge.

Magnetic fields (origins) CHAPTER 27 SOURCES OF MAGNETIC FIELD. Permanent magnets. Electric currents. Magnetic field due to a moving charge. Magnetic fields (oigins) CHAPTER 27 SOURCES OF MAGNETC FELD Magnetic field due to a moving chage. Electic cuents Pemanent magnets Magnetic field due to electic cuents Staight wies Cicula coil Solenoid

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

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

Physics 2B Chapter 22 Notes - Magnetic Field Spring 2018

Physics 2B Chapter 22 Notes - Magnetic Field Spring 2018 Physics B Chapte Notes - Magnetic Field Sping 018 Magnetic Field fom a Long Staight Cuent-Caying Wie In Chapte 11 we looked at Isaac Newton s Law of Gavitation, which established that a gavitational field

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

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 2A Chapter 10 - Moment of Inertia Fall 2018

Physics 2A Chapter 10 - Moment of Inertia Fall 2018 Physics Chapte 0 - oment of netia Fall 08 The moment of inetia of a otating object is a measue of its otational inetia in the same way that the mass of an object is a measue of its inetia fo linea motion.

More information

On the Comparison of Stability Analysis with Phase Portrait for a Discrete Prey-Predator System

On the Comparison of Stability Analysis with Phase Portrait for a Discrete Prey-Predator System Intenational Jounal of Applied Engineeing Reseach ISSN 0973-4562 Volume 12, Nume 24 (2017) pp. 15273-15277 Reseach India Pulications. http://www.ipulication.com On the Compaison of Staility Analysis with

More information

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak Designing a Sine-Coil fo Measuement of Plasma Displacements in IR-T Tokamak Pejman Khoshid, M. Razavi, M. Ghoanneviss, M. Molaii, A. TalebiTahe, R. Avin, S. Mohammadi and A. NikMohammadi Dept. of Physics,

More information

The physics of induction stoves

The physics of induction stoves The physics of uction stoves This is an aticle fom my home page: www.olewitthansen.dk Contents 1. What is an uction stove...1. Including self-uctance...4 3. The contibution fom the magnetic moments...6

More information

PHYS 1441 Section 001 Lecture #14

PHYS 1441 Section 001 Lecture #14 PHYS 1441 Section 001 Lectue #14 Tuesday, June 29, Chapte 28:Souces of Magnetic Field Souces of Magnetic Field Magnetic Field Due to Staight Wie Foces Between Two Paallel Wies Ampée s Law and Its Veification

More information

Gravitational Radiation from Oscillating Gravitational Dipole

Gravitational Radiation from Oscillating Gravitational Dipole Gavitational Radiation fom Oscillating Gavitational Dipole Fan De Aquino Maanhao State Univesity, Physics Depatment, S.Luis/MA, Bazil. deaquino@uema.b Abstact. The concept of Gavitational Dipole is intoduced

More information

How Electric Currents Interact with Magnetic Fields

How Electric Currents Interact with Magnetic Fields How Electic Cuents nteact with Magnetic Fields 1 Oested and Long Wies wote these notes to help ou with vaious diectional ules, and the equivalence between the magnetism of magnets and the magnets of electic

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

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

Chapter Introduction to Finite Element Methods

Chapter Introduction to Finite Element Methods Chapte 1.4 Intoduction to Finite Element Methods Afte eading this chapte, you should e ale to: 1. Undestand the asics of finite element methods using a one-dimensional polem. In the last fifty yeas, the

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

EM Boundary Value Problems

EM Boundary Value Problems EM Bounday Value Poblems 10/ 9 11/ By Ilekta chistidi & Lee, Seung-Hyun A. Geneal Desciption : Maxwell Equations & Loentz Foce We want to find the equations of motion of chaged paticles. The way to do

More information

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS The 8 th Intenational Confeence of the Slovenian Society fo Non-Destuctive Testing»pplication of Contempoay Non-Destuctive Testing in Engineeing«Septembe 1-3, 5, Potoož, Slovenia, pp. 17-1 MGNETIC FIELD

More information

Conservative Averaging Method and its Application for One Heat Conduction Problem

Conservative Averaging Method and its Application for One Heat Conduction Problem Poceedings of the 4th WSEAS Int. Conf. on HEAT TRANSFER THERMAL ENGINEERING and ENVIRONMENT Elounda Geece August - 6 (pp6-) Consevative Aveaging Method and its Application fo One Heat Conduction Poblem

More information

Electromagnetic Theory as an Aid to Understanding Electromagnetic Field Analysis

Electromagnetic Theory as an Aid to Understanding Electromagnetic Field Analysis PECAL Electomagnetic Theoy as an Aid to Undestanding Electomagnetic Field Analysis Tomohio KE Electomagnetic field analysis is an indispensable tool in the design and development of electical devices and

More information

PHY2061 Enriched Physics 2 Lecture Notes. Gauss Law

PHY2061 Enriched Physics 2 Lecture Notes. Gauss Law PHY61 Eniched Physics Lectue Notes Law Disclaime: These lectue notes ae not meant to eplace the couse textbook. The content may be incomplete. ome topics may be unclea. These notes ae only meant to be

More information

CHAPTER 25 ELECTRIC POTENTIAL

CHAPTER 25 ELECTRIC POTENTIAL CHPTE 5 ELECTIC POTENTIL Potential Diffeence and Electic Potential Conside a chaged paticle of chage in a egion of an electic field E. This filed exets an electic foce on the paticle given by F=E. When

More information

Review Notes on Maxwell's Equations

Review Notes on Maxwell's Equations ELEC344 Micowave Engineeing, Sping 2002 Handout #1 Kevin Chen Review Notes on Maxwell's Equations Review of Vecto Poducts and the Opeato The del, gad o nabla opeato is a vecto, and can be pat of a scala

More information

3. Magnetostatic fields

3. Magnetostatic fields 3. Magnetostatic fields D. Rakhesh Singh Kshetimayum 1 Electomagnetic Field Theoy by R. S. Kshetimayum 3.1 Intoduction to electic cuents Electic cuents Ohm s law Kichoff s law Joule s law Bounday conditions

More information

Liquid gas interface under hydrostatic pressure

Liquid gas interface under hydrostatic pressure Advances in Fluid Mechanics IX 5 Liquid gas inteface unde hydostatic pessue A. Gajewski Bialystok Univesity of Technology, Faculty of Civil Engineeing and Envionmental Engineeing, Depatment of Heat Engineeing,

More information

Math 151 Homework 2 Solutions (Winter 2015)

Math 151 Homework 2 Solutions (Winter 2015) Math 5 Homewo 2 Solutions (Winte 25 Polem 3. (a Let A and A 2 e the events that the fist and the second selected alls, espectively, ae white. Also let B and B 2 e the events that the thid and the fouth

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

Mathematical Analysis and Numerical Simulation of High Frequency Electromagnetic Field in Soft Contact Continuous Casting Mold

Mathematical Analysis and Numerical Simulation of High Frequency Electromagnetic Field in Soft Contact Continuous Casting Mold , pp. 974 981 Mathematical Analysis and Numeical Simulation of High Fequency Electomagnetic Field in Soft Contact Continuous Casting Mold Xianzhao NA, Xingzhong ZHANG and Yong GAN National Engineeing &

More information

3-Axis Vector Magnet: Construction and Characterisation of Split Coils at RT. Semester Project Petar Jurcevic

3-Axis Vector Magnet: Construction and Characterisation of Split Coils at RT. Semester Project Petar Jurcevic 3-Axis Vecto Magnet: Constuction and Chaacteisation of Split Coils at RT Semeste Poject Peta Jucevic Outline Field Calculation and Simulation Constuction Details Field Calculations Chaacteization at RT

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

Analysis and Optimization of a Special Type of Dielectric Loaded Resonant Cavity for Mobile Communication Filters

Analysis and Optimization of a Special Type of Dielectric Loaded Resonant Cavity for Mobile Communication Filters 328 Analysis and Optimization of a Special Type of Dielectic Loaded Resonant Cavity fo Mobile Communication Filtes Haold S. Showes, Banmali S. Rawat *, Syam S. Challa Depatment of Electical and Biomedical

More information

FARADAY'S LAW. dates : No. of lectures allocated. Actual No. of lectures 3 9/5/09-14 /5/09

FARADAY'S LAW. dates : No. of lectures allocated. Actual No. of lectures 3 9/5/09-14 /5/09 FARADAY'S LAW No. of lectues allocated Actual No. of lectues dates : 3 9/5/09-14 /5/09 31.1 Faaday's Law of Induction In the pevious chapte we leaned that electic cuent poduces agnetic field. Afte this

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

J. Electrical Systems 1-3 (2005): Regular paper

J. Electrical Systems 1-3 (2005): Regular paper K. Saii D. Rahem S. Saii A Miaoui Regula pape Coupled Analytical-Finite Element Methods fo Linea Electomagnetic Actuato Analysis JES Jounal of Electical Systems In this pape, a linea electomagnetic actuato

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

A new approach in classical electrodynamics to protect principle of causality

A new approach in classical electrodynamics to protect principle of causality A new appoach in classical electodynamics to potect pinciple of causality Biswaanjan Dikshit * Lase and Plasma Technology Division Bhabha Atomic Reseach Cente, Mumbai-400085 INDIA * Coesponding autho E-mail:

More information

Lab #9: The Kinematics & Dynamics of. Circular Motion & Rotational Motion

Lab #9: The Kinematics & Dynamics of. Circular Motion & Rotational Motion Reading Assignment: Lab #9: The Kinematics & Dynamics of Cicula Motion & Rotational Motion Chapte 6 Section 4 Chapte 11 Section 1 though Section 5 Intoduction: When discussing motion, it is impotant to

More information

Module 9: Electromagnetic Waves-I Lecture 9: Electromagnetic Waves-I

Module 9: Electromagnetic Waves-I Lecture 9: Electromagnetic Waves-I Module 9: Electomagnetic Waves-I Lectue 9: Electomagnetic Waves-I What is light, paticle o wave? Much of ou daily expeience with light, paticulaly the fact that light ays move in staight lines tells us

More information

20th Century Atomic Theory - Hydrogen Atom

20th Century Atomic Theory - Hydrogen Atom 0th Centuy Atomic Theoy - Hydogen Atom Ruthefod s scatteing expeiments (Section.5, pp. 53-55) in 1910 led to a nuclea model of the atom whee all the positive chage and most of the mass wee concentated

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

! E da = 4πkQ enc, has E under the integral sign, so it is not ordinarily an

! E da = 4πkQ enc, has E under the integral sign, so it is not ordinarily an Physics 142 Electostatics 2 Page 1 Electostatics 2 Electicity is just oganized lightning. Geoge Calin A tick that sometimes woks: calculating E fom Gauss s law Gauss s law,! E da = 4πkQ enc, has E unde

More information

Physics 107 TUTORIAL ASSIGNMENT #8

Physics 107 TUTORIAL ASSIGNMENT #8 Physics 07 TUTORIAL ASSIGNMENT #8 Cutnell & Johnson, 7 th edition Chapte 8: Poblems 5,, 3, 39, 76 Chapte 9: Poblems 9, 0, 4, 5, 6 Chapte 8 5 Inteactive Solution 8.5 povides a model fo solving this type

More information

STABILITY AND PARAMETER SENSITIVITY ANALYSES OF AN INDUCTION MOTOR

STABILITY AND PARAMETER SENSITIVITY ANALYSES OF AN INDUCTION MOTOR HUNGARIAN JOURNAL OF INDUSTRY AND CHEMISTRY VESZPRÉM Vol. 42(2) pp. 109 113 (2014) STABILITY AND PARAMETER SENSITIVITY ANALYSES OF AN INDUCTION MOTOR ATTILA FODOR 1, ROLAND BÁLINT 1, ATTILA MAGYAR 1, AND

More information

Appendix B The Relativistic Transformation of Forces

Appendix B The Relativistic Transformation of Forces Appendix B The Relativistic Tansfomation of oces B. The ou-foce We intoduced the idea of foces in Chapte 3 whee we saw that the change in the fou-momentum pe unit time is given by the expession d d w x

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

Introduction: Vectors and Integrals

Introduction: Vectors and Integrals Intoduction: Vectos and Integals Vectos a Vectos ae chaacteized by two paametes: length (magnitude) diection a These vectos ae the same Sum of the vectos: a b a a b b a b a b a Vectos Sum of the vectos:

More information

ELECTROMAGNETISM (CP2)

ELECTROMAGNETISM (CP2) Revision Lectue on ELECTROMAGNETISM (CP) Electostatics Magnetostatics Induction EM Waves based on pevious yeas Pelims questions State Coulomb s Law. Show how E field may be defined. What is meant by E

More information

A Simple Method to Control of Variable Speed Wind Generation System Coupled with Squirrel Cage Induction Generator

A Simple Method to Control of Variable Speed Wind Generation System Coupled with Squirrel Cage Induction Generator Austalian Jounal of Basic and Applied Sciences, 5(5): 319-328, 2011 ISSN 1991-8178 A Simple Method to Contol of Vaiale Speed Wind Geneation System Coupled with Squiel Cage Induction Geneato M. Najafi,

More information

Khmelnik S.I. Unusual fountain and gravitomagnetism

Khmelnik S.I. Unusual fountain and gravitomagnetism Khmelnik.I. Unusual ountain and gavitomagnetism Contents. Intoduction. Main mathematical model 3. Computational algoithm 4. Enegy lows in the unusual ountain 5. et shape calculation 6. Conclusion eeences

More information

CBN 98-1 Developable constant perimeter surfaces: Application to the end design of a tape-wound quadrupole saddle coil

CBN 98-1 Developable constant perimeter surfaces: Application to the end design of a tape-wound quadrupole saddle coil CBN 98-1 Developale constant peimete sufaces: Application to the end design of a tape-wound quadupole saddle coil G. Dugan Laoatoy of Nuclea Studies Conell Univesity Ithaca, NY 14853 1. Intoduction Constant

More information

Magnetic Field of a Wire

Magnetic Field of a Wire Magnetic Field of a Wie Fundamental Laws fo Calculating B-field Biot-Savat Law (long method, but woks always) Ampee s Law (high symmety) B-Field of a Staight Wie Fo a thin staight conducto caying cuent

More information

Module 21: Faraday s Law of Induction 1 Table of Contents

Module 21: Faraday s Law of Induction 1 Table of Contents Module 21: Faaday s Law of Induction 1 Table of Contents 10.1 Faaday s Law of Induction... 10-2 10.1.1 Magnetic Flux... 10-3 10.1.2 Lenz s Law... 10-5 1 10.2 Motional EMF... 10-7 10.3 Induced Electic Field...

More information

$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4!" or. r ˆ = points from source q to observer

$ i. !((( dv vol. Physics 8.02 Quiz One Equations Fall q 1 q 2 r 2 C = 2 C! V 2 = Q 2 2C F = 4! or. r ˆ = points from source q to observer Physics 8.0 Quiz One Equations Fall 006 F = 1 4" o q 1 q = q q ˆ 3 4" o = E 4" o ˆ = points fom souce q to obseve 1 dq E = # ˆ 4" 0 V "## E "d A = Q inside closed suface o d A points fom inside to V =

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

FORMULA FOR SPIRAL CLOUD-RAIN BANDS OF A TROPICAL CYCLONE. Boris S. Yurchak* University of Maryland, Baltimore County, Greenbelt, Maryland =, (2)

FORMULA FOR SPIRAL CLOUD-RAIN BANDS OF A TROPICAL CYCLONE. Boris S. Yurchak* University of Maryland, Baltimore County, Greenbelt, Maryland =, (2) PF.3 FORMULA FOR SPIRAL CLOUD-RAIN BANDS OF A TROPICAL CYCLONE Bois S. Yuchak* Univesity of Mayland, Baltimoe County, Geenbelt, Mayland. INTRODUCTION Spial cloud-ain bands (SCRB) ae some of the most distinguishing

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

On Physical Behavior of Elementary Particles in Force Fields

On Physical Behavior of Elementary Particles in Force Fields On Physical Behavio of Elementay Paticles in Foce Fields Daniele Sasso * Abstact The physical behavio of elementay paticles, massive and enegetic, in foce fields is studied in this pape. In paticula let

More information

HW #5 Hints. Today. HW #5 Hints. HW #5 Hints. Announcements:

HW #5 Hints. Today. HW #5 Hints. HW #5 Hints. Announcements: Today HW #5 Hints Announcements: HW and Exta cedit #3 due 2/25 HW hints + Recap the 2nd law of themodynamics Electic and Magnetic Foces and thei unification the Foce Field concept -1-1) The speed at D

More information

IX INDUCTANCE AND MAGNETIC FIELDS

IX INDUCTANCE AND MAGNETIC FIELDS IX INDUCTNCE ND MGNETIC FIELDS 9. Field in a solenoid vaying cuent in a conducto will poduce a vaying magnetic field. nd this vaying magnetic field then has the capability of inducing an EMF o voltage

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

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS

DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 10-: MOTION IN A GRAVITATIONAL FIELD Questions Fom Reading Activity? Gavity Waves? Essential Idea: Simila appoaches can be taken in analyzing electical

More information

Quantum Mechanics and General Relativity: Creation Creativity. Youssef Al-Youssef, 2 Rama Khoulandi. University of Aleppo, Aleppo, Syria

Quantum Mechanics and General Relativity: Creation Creativity. Youssef Al-Youssef, 2 Rama Khoulandi. University of Aleppo, Aleppo, Syria Quantum Mechanics and Geneal Relativity: Ceation Ceativity Youssef Al-Youssef, Rama Khoulandi Univesity of Aleppo, Aleppo, Syia Abstact This aticle is concened with a new concept of quantum mechanics theoy

More information

THERMAL PROPERTIES OF FRACTAL STRUCTURE MATERIALS

THERMAL PROPERTIES OF FRACTAL STRUCTURE MATERIALS HERMAL PROPERIES OF FRACAL SRUCURE MAERIALS Oldřich Zmeškal, Mioslav Buchníček, Matin Nežádal Pavla Štefková, Radek Capoušek Institute of Physical and Applied Chemisty, Faculty of Chemisty, Bno Univesity

More information

( ) [ ] [ ] [ ] δf φ = F φ+δφ F. xdx.

( ) [ ] [ ] [ ] δf φ = F φ+δφ F. xdx. 9. LAGRANGIAN OF THE ELECTROMAGNETIC FIELD In the pevious section the Lagangian and Hamiltonian of an ensemble of point paticles was developed. This appoach is based on a qt. This discete fomulation can

More information

B. Spherical Wave Propagation

B. Spherical Wave Propagation 11/8/007 Spheical Wave Popagation notes 1/1 B. Spheical Wave Popagation Evey antenna launches a spheical wave, thus its powe density educes as a function of 1, whee is the distance fom the antenna. We

More information

Magnetic Field and Inductance Calculations in Theta-Pinch and Z-Pinch Geometries

Magnetic Field and Inductance Calculations in Theta-Pinch and Z-Pinch Geometries Magnetic Field and Inductance Calculations in Theta-Pinch and Z-Pinch Geometies T.J. Awe, R.E. Siemon, B.S. Baue, S. Fuelling, V. Makhin, Univesity of Nevada, Reno, NV 89557 S.C. Hsu, T.P. Intato Los Alamos

More information

r cos, and y r sin with the origin of coordinate system located at

r cos, and y r sin with the origin of coordinate system located at Lectue 3-3 Kinematics of Rotation Duing ou peious lectues we hae consideed diffeent examples of motion in one and seeal dimensions. But in each case the moing object was consideed as a paticle-like object,

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

Sparks. From Last Time. Other electric currents. Time-varying electric current. Eventually transatlantic signals! Electric Charge

Sparks. From Last Time. Other electric currents. Time-varying electric current. Eventually transatlantic signals! Electric Charge Electic Chage Fom Last Time Two types: plus and minus Foces between chages Like chages epel, opposite chages attact Coulomb s law: foce dops invesely w/ squae of distance Electic Cuent Flow of chages fom

More information

Eventually transatlantic signals! From Last Time. Electromagnetic Waves. The idea of electric fields. The electric field.

Eventually transatlantic signals! From Last Time. Electromagnetic Waves. The idea of electric fields. The electric field. Fom Last Time Electomagnetic waves Chages, cuent and foces: Coulomb s law. Acceleating chages poduce an electomagnetic wave The idea of the electic field. Today Electic fields, magnetic fields, and thei

More information

Analytical time-optimal trajectories for an omni-directional vehicle

Analytical time-optimal trajectories for an omni-directional vehicle Analytical time-optimal tajectoies fo an omni-diectional vehicle Weifu Wang and Devin J. Balkcom Abstact We pesent the fist analytical solution method fo finding a time-optimal tajectoy between any given

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

ASTR415: Problem Set #6

ASTR415: Problem Set #6 ASTR45: Poblem Set #6 Cuan D. Muhlbege Univesity of Mayland (Dated: May 7, 27) Using existing implementations of the leapfog and Runge-Kutta methods fo solving coupled odinay diffeential equations, seveal

More information

The Millikan Experiment: Determining the Elementary Charge

The Millikan Experiment: Determining the Elementary Charge LAB EXERCISE 7.5.1 7.5 The Elementay Chage (p. 374) Can you think of a method that could be used to suggest that an elementay chage exists? Figue 1 Robet Millikan (1868 1953) m + q V b The Millikan Expeiment:

More information

2/26/2014. Magnetism. Chapter 20 Topics. Magnets and Magnetic Fields. Magnets and Magnetic Fields. Magnets and Magnetic Fields

2/26/2014. Magnetism. Chapter 20 Topics. Magnets and Magnetic Fields. Magnets and Magnetic Fields. Magnets and Magnetic Fields Magnets and Magnetic ields Magnetism Howee, if you cut a magnet in half, you don t get a noth pole and a south pole you get two smalle magnets. ectue otes Chapte 20 Topics Magnets and Magnetic ields Magnets

More information

Flux. Area Vector. Flux of Electric Field. Gauss s Law

Flux. Area Vector. Flux of Electric Field. Gauss s Law Gauss s Law Flux Flux in Physics is used to two distinct ways. The fist meaning is the ate of flow, such as the amount of wate flowing in a ive, i.e. volume pe unit aea pe unit time. O, fo light, it is

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

Phys-272 Lecture 13. Magnetism Magnetic forces

Phys-272 Lecture 13. Magnetism Magnetic forces Phys-7 Lectue 13 Magnetism Magnetic foces Chaged paticle motion in a constant field - velocity in plane to. Suppose we have a magnetic field given by 0 and a paticle stats out at the oigin moving in the

More information

1.1 THE ELECTRIC CHARGE

1.1 THE ELECTRIC CHARGE 1.1 THE ELECTRIC CHARGE - In a dy day, one obseves "light spaks" when a wool pull is taken out o when the finges touch a metallic object. Aound the yea 1600, one classified these effects as electic phenomena.

More information

Analytical Solutions for Confined Aquifers with non constant Pumping using Computer Algebra

Analytical Solutions for Confined Aquifers with non constant Pumping using Computer Algebra Poceedings of the 006 IASME/SEAS Int. Conf. on ate Resouces, Hydaulics & Hydology, Chalkida, Geece, May -3, 006 (pp7-) Analytical Solutions fo Confined Aquifes with non constant Pumping using Compute Algeba

More information

BLACK HOLES IN STRING THEORY

BLACK HOLES IN STRING THEORY Black holes in sting theoy N Sadikaj & A Duka Pape pesented in 1 -st Intenational Scientific Confeence on Pofessional Sciences, Alexande Moisiu Univesity, Dues Novembe 016 BLACK OLES IN STRING TEORY NDRIÇIM

More information

Tailoring Materials and Radiation to Explore Cloaking Phenomena

Tailoring Materials and Radiation to Explore Cloaking Phenomena Tailoing Mateials and Radiation to Exploe Cloaking Phenomena Jonathan Samoajski Septembe 22, 2009 1 Intoduction Radiation-matte inteaction is vey impotant in enegy eseach, especially in the aeas of fusion

More information

AST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1

AST 121S: The origin and evolution of the Universe. Introduction to Mathematical Handout 1 Please ead this fist... AST S: The oigin and evolution of the Univese Intoduction to Mathematical Handout This is an unusually long hand-out and one which uses in places mathematics that you may not be

More information

GENERAL RELATIVITY: THE GEODESICS OF THE SCHWARZSCHILD METRIC

GENERAL RELATIVITY: THE GEODESICS OF THE SCHWARZSCHILD METRIC GENERAL RELATIVITY: THE GEODESICS OF THE SCHWARZSCHILD METRIC GILBERT WEINSTEIN 1. Intoduction Recall that the exteio Schwazschild metic g defined on the 4-manifold M = R R 3 \B 2m ) = {t,, θ, φ): > 2m}

More information

The geometric construction of Ewald sphere and Bragg condition:

The geometric construction of Ewald sphere and Bragg condition: The geometic constuction of Ewald sphee and Bagg condition: The constuction of Ewald sphee must be done such that the Bagg condition is satisfied. This can be done as follows: i) Daw a wave vecto k in

More information

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature)

Recap. Centripetal acceleration: v r. a = m/s 2 (towards center of curvature) a = c v 2 Recap Centipetal acceleation: m/s 2 (towads cente of cuvatue) A centipetal foce F c is equied to keep a body in cicula motion: This foce poduces centipetal acceleation that continuously changes

More information

6.641 Electromagnetic Fields, Forces, and Motion Spring 2005

6.641 Electromagnetic Fields, Forces, and Motion Spring 2005 MIT OpenouseWae http://ocw.mit.edu 6.641 Electomagnetic Fields, Foces, and Motion Sping 2005 Fo infomation about citing these mateials o ou Tems of Use, visit: http://ocw.mit.edu/tems. 6.641 Electomagnetic

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

Course Updates. Reminders: 1) Assignment #8 will be able to do after today. 2) Finish Chapter 28 today. 3) Quiz next Friday

Course Updates. Reminders: 1) Assignment #8 will be able to do after today. 2) Finish Chapter 28 today. 3) Quiz next Friday Couse Updates http://www.phys.hawaii.edu/~vane/phys272-sp10/physics272.html Remindes: 1) Assignment #8 will be able to do afte today 2) Finish Chapte 28 today 3) Quiz next Fiday 4) Review of 3 ight-hand

More information

Graphs of Sine and Cosine Functions

Graphs of Sine and Cosine Functions Gaphs of Sine and Cosine Functions In pevious sections, we defined the tigonometic o cicula functions in tems of the movement of a point aound the cicumfeence of a unit cicle, o the angle fomed by the

More information

Variables and Formulas

Variables and Formulas 64 Vaiales and Fomulas Vaiales and Fomulas DEFINITIONS & BASICS 1) Vaiales: These symols, eing lettes, actually epesent numes, ut the numes can change fom time to time, o vay. Thus they ae called vaiales.

More information

ENGINEERING FOR RURAL DEVELOPMENT Jelgava, SINGLE WIRE AND RESPECTIVE DOUBLE WIRE SCHEME EQUIVALENCE PRINCIPLE

ENGINEERING FOR RURAL DEVELOPMENT Jelgava, SINGLE WIRE AND RESPECTIVE DOUBLE WIRE SCHEME EQUIVALENCE PRINCIPLE NGE WRE AND REPETVE DOUBE WRE HEME EQUVAENE PRNPE Jānis Voitkāns, Jānis Geivulis, Andis Voitkāns Riga Technical Univesity, Faculty of Electical and Powe engineeing voitkans@eef.tu.lv, geivulis@eef.tu.lv,

More information

Earth and Moon orbital anomalies

Earth and Moon orbital anomalies Eath and Moon obital anomalies Si non è veo, è ben tovato Ll. Bel axiv:1402.0788v2 [g-qc] 18 Feb 2014 Febuay 19, 2014 Abstact A time-dependent gavitational constant o mass would coectly descibe the suspected

More information

The evolution of the phase space density of particle beams in external fields

The evolution of the phase space density of particle beams in external fields The evolution of the phase space density of paticle beams in extenal fields E.G.Bessonov Lebedev Phys. Inst. RAS, Moscow, Russia, COOL 09 Wokshop on Beam Cooling and Related Topics August 31 Septembe 4,

More information

Design Study of the Crossed Field Antenna

Design Study of the Crossed Field Antenna Jounal of Engineeing and Development, Vol. 10, No. 4, Decembe (006) ISSN 181-78 Design Study of the Cossed Field Antenna Pof. D. Jamal W. Salman Electical Eng. Dept., College of Engineeing Al-Mustansiiya

More information