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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Faraday’s tentacles and beyond 

    Marwa Marso

    Degree in Physics + Mathematics,UAB

    March 18, 2016

    Marwa Marso   Faraday’s tentacles and beyond 

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Table of contents 

    1   Introduction 

    Marwa Marso   Faraday’s tentacles and beyond 

    http://find/http://goback/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Table of contents 

    1   Introduction 

    2    Newton’s 3rd Law 

    Marwa Marso   Faraday’s tentacles and beyond 

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Table of contents 

    1   Introduction 

    2    Newton’s 3rd Law 

    3    Maxwell’s Equations 

    Marwa Marso   Faraday’s tentacles and beyond 

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Table of contents 

    1   Introduction 

    2    Newton’s 3rd Law 

    3    Maxwell’s Equations 

    4   Relativistic Electromagntism 

    Marwa Marso   Faraday’s tentacles and beyond 

    d i

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    There wasn’t a systematic study until the XVII century

    Marwa Marso   Faraday’s tentacles and beyond 

    I t d ti

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    There wasn’t a systematic study until the XVII century

    Charles du Fay    positive and negative charges

    Marwa Marso   Faraday’s tentacles and beyond 

    I t d ti

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    There wasn’t a systematic study until the XVII century

    Charles du Fay    positive and negative charges

    Charles Augustin du Coloumb

    F   = K Qq 

    r2

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    There wasn’t a systematic study until the XVII century

    Charles du Fay    positive and negative charges

    Charles Augustin du Coloumb

    F   = K Qq 

    r2

    A moving charged particle produces a magnetic field.

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    There wasn’t a systematic study until the XVII century

    Charles du Fay    positive and negative charges

    Charles Augustin du Coloumb

    F   = K Qq 

    r2

    A moving charged particle produces a magnetic field.

    F   = K mq 1v1q 2v2 ×   u

    r2

    F   = q 1v1   ×   BMarwa Marso   Faraday’s tentacles and beyond 

    Introduction

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Introduction 

    Michael Faraday didn’tbelieve in

    action-at-a-distance forces.Mental pictures to explainelectromagnetic forces

    “Tentacles” or “strings” thattransmit pushes betweenelectric charges andmagnetic poles

    Line of force Action-at-a-distance magneticforce

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction

    http://find/

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    Introduction Newton’s 3rd Law 

    Maxwell’s EquationsRelativistic Electromagntism 

    Newton’s third Law 

    Field 

    Physical property that spreads out to a region of space and itdepends on the position and the time.

    Electroestatic and Gravitational field    Applied force per unit of the magnitud (charge,mass)

    What about newton’s 3rd

    Law?How many lines there are?

    Electromagnetic waves?

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction 

    http://find/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Newton’s third Law 

    Field 

    Physical property that spreads out to a region of space and itdepends on the position and the time.

    Electroestatic and Gravitational field    Applied force per unit of the magnitud (charge,mass)

    What about newton’s 3rd

    Law?How many lines there are?

    Electromagnetic waves?

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction 

    http://find/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Quantum field theory 

    One electron emits a photon and recoils; the second electronabsorbs the photon and acquires its momentum. This simpleprocess can be pictured with a Feynman diagram.

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction 

    http://goforward/http://find/http://goback/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Mechanical Ether 

    Electromagnetic ether

    No charges

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction N t ’ 3 d L

    http://find/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Mechanical Ether 

    Electromagnetic ether

    No charges

    Existence of ether

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction N t ’ 3 d L

    http://find/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Mechanical Ether 

    Electromagnetic ether

    No charges

    Existence of ether

    Classical Mechanics

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction Newton’s 3rd Law

    http://find/

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    Newton’s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Mechanical Ether 

    Electromagnetic ether

    No charges

    Existence of ether

    Classical Mechanics

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction Newton’s 3rd Law

    http://find/

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    Newton s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Maxwell’s Equations 

    Maxwell’s equations:

    What happens if we solve the equations exchanging  t     −t  ?

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction Newton’s 3rd Law

    http://find/

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    Newton s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction Newton’s 3rd Law

    http://find/

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    Newton s 3rd Law Maxwell’s Equations

    Relativistic Electromagntism 

    Marwa Marso   Faraday’s tentacles and beyond 

    Introduction Newton’s 3rd Law 

    http://find/http://goback/

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    Maxwell’s EquationsRelativistic Electromagntism 

    Marwa Marso   Faraday’s tentacles and beyond 

    http://find/http://goback/