What is Electrodynamics: Definition and 416 Discussions

Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles. The electromagnetic force is carried by electromagnetic fields composed of electric fields and magnetic fields, and it is responsible for electromagnetic radiation such as light. It is one of the four fundamental interactions (commonly called forces) in nature, together with the strong interaction, the weak interaction, and gravitation. At high energy, the weak force and electromagnetic force are unified as a single electroweak force.

Electromagnetic phenomena are defined in terms of the electromagnetic force, sometimes called the Lorentz force, which includes both electricity and magnetism as different manifestations of the same phenomenon. The electromagnetic force plays a major role in determining the internal properties of most objects encountered in daily life. The electromagnetic attraction between atomic nuclei and their orbital electrons holds atoms together. Electromagnetic forces are responsible for the chemical bonds between atoms which create molecules, and intermolecular forces. The electromagnetic force governs all chemical processes, which arise from interactions between the electrons of neighboring atoms. Electromagnetism is very widely used in modern technology, and electromagnetic theory is the basis of electric power engineering and electronics including digital technology.
There are numerous mathematical descriptions of the electromagnetic field. Most prominently, Maxwell's equations describe how electric and magnetic fields are generated and altered by each other and by charges and currents.
The theoretical implications of electromagnetism, particularly the establishment of the speed of light based on properties of the "medium" of propagation (permeability and permittivity), led to the development of special relativity by Albert Einstein in 1905.

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  1. M

    Flux Through A Sphere Surrounding A Parallelepiped

    Homework Statement The rectangular parallelepiped with sides ## a > b > c ## is filled with charge of constant density ## \rho ##. A sphere of radius ## 2a ## is constructed with its center at the origin. Find the flux through the surface of this sphere Homework Equations $$ \oint E \cdot...
  2. Moayd Shagaf

    Classical Griffiths Electrodynamics vs Pollack Electromagnetism.

    I try to learn electrodynamics as theoretical physicist, Now I study from Griffiths, I find it very good book and do the job! but the problem I need to learn electrodynamic to do future topics like Quantum Electrodynamics, and Pollack I find it good and modern, so my question is what is the best...
  3. T

    Classical Griffiths "Intro to Electrodynamics"

    Hi, I recently ordered the fourth edition of "Introduction to Electrodynamics" by Griffiths. However, I received the international version of the textbook. In my upcoming course, our homework will be made up of problems coming directly from the original version. So, are the problems in the...
  4. H

    Faraday's Law: Induced Voltage and Current in a Loop with Resistance R

    Homework Statement An infinitely long wire carries current I=I_0sin(wt). A distance a from this wire is an w by l loop with resistance R with induced voltage V and induced current i. Find the induced voltage and current in the loop. Homework Equations Faraday's law is given by \varepsilon =...
  5. spareine

    Sketch of the electric field of a laser beam

    I am trying to sketch the electric field E in snapshot of a linearly polarized laser beam. Is it correct that the E vectors bend from vertical to longitudinal near the cylindrical surface of the beam, and that all field lines within a half wave segment are closed loops?
  6. Jianphys17

    Electrodynamics: Comparing Purcell & Griffiths Textbooks

    Hi, I've 2 em texts: Purcell, ( Electricity&magnetism ) and the Griffiths (intro to electrod.) On which of the two, is best to study ?
  7. Vaibhav Sahu

    Propagation of EM Waves in metamaterials

    We have materials that have negative effective permittivity and permeability. In such materials, when the product of permittivity and permeability is negative, solving the wave equation yields a wave with a purely imaginary wave number. Does this mean complete attenuation of the wave ?
  8. Mind----Blown

    What does Griffith mean by this hint? [Electrodynamics]

    I was solving the problems given by Griffith in his book 'Introduction to Electrodynamics' and stumbled across this question. "Because sigma (conductivity of the medium) is a function of position, the equation 7.5 does not hold" --i get this point; current density isn't constant and so its...
  9. MathematicalPhysicist

    Thread about Jackson's Classical Electrodynamics 3rd edition

    In this thread I gather my questions concerning derivations in the textbook of equations and of solutions to the exercises. I hope every student and professional will benefit from this thread. I'll start in the next post.
  10. A

    Classical Companion book for Electrodynamics by Jackson

    I am studying electrodynamics, in a few more months I have the qualification exam. The guide text is classical electrodynamics, Jackson. I find that book is higher my current level. I have the math tools, but what book do you recommend to use before the Jackson.
  11. J

    Books on Covariant formulation of Electrodynamics

    Hello! I am an undergraduate currently enrolled in a course on theoretical physics. One big part of the course is on the classical field theory of electromagnetism(on its covariant formulation using Lagrangians mostly). So, I would like to ask which are some good books on the subject. Thanks in...
  12. qnach

    I Original references for Hertz's experiments

    There are many website about the apparatus of Hertz's experiments, i.e. http://www.sparkmuseum.com/BOOK_HERTZ.HTM http://earlyradiohistory.us/1901hz.htm http://people.seas.harvard.edu/~jones/cscie129/nu_lectures/lecture6/hertz/Hertz_exp.html There are many pictures showing the apparatus of...
  13. RGalbiati

    Classical Good exercises book for relativistic electrodynamics

    Hi everyone. As the title says, I am looking for a good exercise book covering the topic of relativistic electrodynamics since the beginning. Even lecture notes from some universities would be great given that solved problems of increasing difficulty are provided. Do you know some book of this...
  14. P

    B Why Need Covarient Form of Electrodynamics?

    hello this is my first topic here and i hope good discussion or answer to my question As i understand the Maxwell equation keep its form in all frames so why i need to make a covarient formulation form of electrodynamics ? for example what the covarient form of continuity equation give me !
  15. 1

    Why can't I use this equation for the magnetic field?

    Homework Statement Homework Equations ##\oint \vec{H} \cdot d\vec{l} = I_{free,enclosed}## ##\vec{B} = \mu_0 (1+\chi _m)\vec{H}## The Attempt at a Solution I found the magnetic field inside to be ##\vec{B} = \mu_0 (1+\chi _m)\frac{Is}{2 \pi a^2} \phi##. But why can't I use the same equation...
  16. A

    Classical Book to learn classical electrodynamics

    Hi, What book could you recommend for a first course in classical electrodynamics? Thank you
  17. Narayanan KR

    Can capacitors receive EM energy?

    Dynamos and transformers have inductor coils reacting with changing magnetic fields and importing energy into the circuit in form of induced current 1. What about the counterpart of above principle in case of capacitors? 2. Will capacitors interact with...
  18. DavideGenoa

    Proving Lorenz Gauge Choice: A Getty's Physics Exploration

    Hello, friends! My textbook, Gettys's Physics, says that the Lorenz gauge choice uses the magnetic vector potential $$\mathbf{A}(\mathbf{x},t):=\frac{\mu_0}{4\pi}\int \frac{\mathbf{J}(\mathbf{y},t-c^{-1}\|\mathbf{x}-\mathbf{y}\|)}{\|\mathbf{x}-\mathbf{y}\|}d^3y $$and the electric potential...
  19. S

    Recommended Books for Studying Relativistic Electrodynamics

    Hey guys, Can you please refer some good books to refer to in studying relativistic Electrodynamics (introductory parts), covering the Maxwell's equations in tensor form the L-W potentials and other aspects. FYI am just a beginner in relativistic Electrodynamics. Thanks for the help.
  20. G

    Field-free formulation of ED: Conservation laws?

    Hi. In the (mainstream) books of electrodynamics I know, the electric and magnetic fields are introduced as force fields normalized to a charged test particle of 1 C. This makes those fields appear as an unnecessary, but convenient mathematical tool. They cannot be measured in the absence of...
  21. G

    Faraday cage in electrodynamics (with currents)

    Hi. Assume a long hollow wire that both carries a nonzero net charge and a current. Is it still true that all charge sits on the outer surface of the cable and that the empty space inside is field-free (Faraday cage)? I know proofs of those facts in electrostatics using Gauss' theorem, but they...
  22. Y

    Electrodynamics problem - force equilibrium

    Homework Statement Hello! I have a question about the following problem: Two point masses m1 and m2 are attached to isolating wires to point P. They are both positively charges (charge Q1 and Q2) and in the picture you can see the situation at equilibrium. What is the proportion of the...
  23. Babbeus

    I Lorentz derivation of length contraction in electrodynamics

    Here is a quote from this website: My question is: is this derivation of length contraction considered to be sound and correct today? Are they treated in modern textbooks?
  24. L

    Studying Resources for reviewing Electrodynamics

    In two months I'm going to take one Physics exam which covers all the undergraduate courses and I must confess I feel quite overwhelmed by the amount of content that there is to be reviewed. In truth I feel that for the purpose of preparing for one exame like this it is not really productive to...
  25. physicality

    I How to show that Electrodynamics is conformally invariant?

    [Moderator's note: changed thread title to be more descriptive of the actual question.] Consider Maxwell's action ##S=\int L## over Minkovski space, where the Lagrangian density is ##L = -\frac{1}{4}F_{\mu\nu}F^{\mu\nu}##, and the Electromagnetic tensor is given by ##F^{\mu\nu} = \partial^\mu...
  26. thefurlong

    Is Self-Study Outside Academia Hindering My Progress in Physics?

    I hope this is right place to post this. I just wanted to get this off of my chest. I am frustrated, and depressed because I am an outsider to the physics community. I am posting this with the hope that somebody else might be able to add perspective to my situation. I apologize if that's...
  27. qnach

    Jackson classical electrodynamics section 9-6

    I am not sure what does Jackson want to talk in section 9-6? Is that just a review of something discussed previously? Chapter 9 is talking about radiation, and later about multipole expansion.
  28. W

    Classical Electrodynamics: Ohanian vs. Wangsness

    Hi guys, I'm just curious about how does Classical Electrodynamics by Hans Ohanian and Electromagnetic Fields by Ronald Wangsness compare? I know Griffiths is like the way to go when it comes to EM, but personally, I find his book too hand wavy and the explanations are sometimes lacking, so I...
  29. F

    Confusion in Maxwell's derivation of Ampere's Force Law

    Hi everyone here. I have my question in the following attached pdf file
  30. X

    Courses Is Jackson's Electrodynamics as hard as they say it is?

    I got into a top 10 Ph.D program yah I know yay for me and I'll be starting this fall. As I always I'm planning my course work way in advance and figuring out how to tackle it. For my required electrodynamics class they use Jackson. I heard a lot of bad things about that book. When I took upper...
  31. M

    Over what frequency range are Maxwell's equations valid?

    Homework Statement I am studying for an Optics exam and in one of the practise tests is the following question: "Over what frequency range are Maxwell's equations valid?" Homework Equations Maxwell's Equations The Attempt at a Solution I've searched through my Griffiths Intro to...
  32. L

    Other Research topics in Statistical Physics

    Currently I'm in the last year of the Physics course and I've been thinking about working in a project of undergraduate research, specifically in Statistical Physics. Two years ago I've already done a project like that in Fluid Mechanics combined with Gauge Theories and in that project I've...
  33. S

    Quantum Book on quantum electrodynamics

    Can anyone suggest me a book on quantum electrodynamics for beginners? Thanks in advance
  34. DuckAmuck

    Electric Charge Interacting with Magnetic Monopole

    Is there a general solution explicitly worked out for how a monopole and electic charge would interact? Of course the electro-static solution is that there is no interaction, but the electro-dynamic solution would not be so trivial, as moving charges/monopoles would induce magnetic/electic fields.
  35. It's me

    How does ∇ × J = 0 relate to B = 0 in Maxwell's equations?

    Homework Statement Prove that a current density J(r, t) such that ∇ × J = 0 implies the magnetic field B = 0.Homework Equations Maxwell's equations, vector calculus The Attempt at a Solution I've played around with Maxwell's equations and with the properties of vector calculus but I can't...
  36. debajyoti datta

    A What is the divergence of 1/r^n for positive integer n in physics?

    I have read in Griffiths electrodynamics that divergence of 1/r^2 is delta function and I thought it was the only special case...I have understood the logic there... but a question came in mind...what would happen in general if the function is 1/r^n ...where n is positive integer>0...because the...
  37. F

    Calculate the charge of a density distributed along z axis?

    Homework Statement How do I find the total charge from a material with a charge density given by \rho =10^{-9} \text{cos}\left ( \frac{z}{z_0}\right ) C/m^3 that exist between \frac{-\pi}{3}z_0<z<\frac{\pi}{3}z_0. Homework Equations None I can think of. The Attempt at a Solution Attempt #1...
  38. adremja

    EM wave with circular polarization interferes with conductor

    Homework Statement EM wave with circular polarization travels in directon z interferes with perfect conducting surface xy. 1. find reflected wave 2. calculate induced charge density and surface current induced on conducting surface Can you verify if I started point 1. correctly, and give...
  39. R

    Conceptually Relating 2nd Partials to Electrodynamics

    Hey All, In deriving applications of Maxwell's equations in advanced electromagnetics, it seems like one is exposed to almost all of the vector calculus identities in the book! (or at least on the current Wikipedia entry :smile:). Personally, I'm a non-traditional learner, and grasp advanced...
  40. PhiowPhi

    Is Newton's 3rd law valid in Electrodynamics?

    I'm really conflicted with this one, I found many sources that state that Newtons 3rd law does not hold in electrodynamics, reasonable sources with mathematical proof(example). And as a student who just finished Physics I and taking Physics II course, this is really confusing... but when I think...
  41. R

    Can the emission theory of Walter Ritz revolutionize modern physics?

    Hello. I'm supposed to be an electrical engineer but between my ears there is physics! In my sophomore year at Purdue (1964) I got tangled up with the superposition theorem and its lack of shielding between charged particles. I fashioned a model for electrodyamics that included shielding. In...
  42. L

    Suggests topics in Electrodynamics

    Dear All, I have this semester an electrodynamics course, one of our tasks is to write a report topic about any related to the course. Any suggest will be appreciated...Thanks in advance
  43. F

    Methods of Images between two parallel cylinder

    Homework Statement Using methods of Images, How do I find the potential of the system consisting of two conducting cylinders that are not grounded and separated at a distance of 2D, one in a potential of V_0 and the other is -V_0? Homework Equations The potential due to an infinite line...
  44. Suman Saha

    Classical Electrodynamics Books | Graduate Level Suggestions

    Friends, can you suggest for some good books which can be studied in graduate level. Except Griffiths, I've completed it.
  45. F

    How to find the charge density given by a Tricky Potential?

    Homework Statement I am trying to solve Problem 2.45 in Electrodynamics by Griffiths, however, my answers were different from those in the book, I am suspect I got a missing step but I could not find it, so here is the Given Problem Find the charge density \rho given by a potential...
  46. chi_rho

    Delta Function Identity in Modern Electrodynamics, Zangwill

    I am currently reading Modern Electrodynamics by Andrew Zangwill and came across a section listing some delta function identities (Section 1.5.5 page 15 equation 1.122 for those interested), and there is one identity that really confused me. He states: \begin{align*} \frac{\partial}{\partial...
  47. AwesomeTrains

    Potential of a magnetic dipole

    Hello everyone! I'm stuck at an Electrodynamics problem and would be happy for some guidance 1. Homework Statement A magnetic dipole \vec{m}(t)=\vec{m}_0cos(\omega t) at the origin can be described by the current density \vec{j}(\vec{r},t)=-\vec{m}(t)\times\vec{\nabla}\delta(\vec{r})...
  48. A

    Electromagnetic induction by a rotating sphere

    Homework Statement http://physics.columbia.edu/files/physics/content/Quals2010Sec2.pdf Problem 1 Consider a rigid, ideally conducting sphere of radius R, with total charge zero. The sphere rotates with angular velocity Ω, ΩR<<c. Suppose a dipole magnetic field threads the sphere. the dipole is...
  49. S

    Magnetic field of a circular loop

    Homework Statement A circular loop of radius R is on the xy plane and the center is at the origin, the current is flowing in a counter-clockwise manner. a) Let Q=(a,0,a) be a point such that a>>R. Find Br and Bθ at Q. b) Let Q=(ha,0,0) be a point on the x-axis such that h<1. Find the vector...
  50. T

    Electrodynamics Fourier Analysis (Fouriers Trick)

    Homework Statement Two infinitely grounded metal plates at y=0 and y=a are connected at x=b and x=-b by metal strips maintained at a constant potential V. Find the potential inside the rectangular pipe.Homework Equations Laplaces EquationThe Attempt at a Solution I posted a photo of what I've...
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