Fields Definition and 1000 Threads

I am reading Abstract Algebra: Structures and Applications" by Stephen Lovett ... I am currently focused on Chapter 7: Field Extensions ... ... I need help with Example 7.1.5 ...Example 7.1.5 reads as follows: https://www.physicsforums.com/attachments/6572...

I am reading Abstract Algebra: Structures and Applications" by Stephen Lovett ... I am currently focused on Chapter 7: Field Extensions ... ... I need help with the proof of, or at least some remarks concerning Example 7.1.5 ...Example 7.1.5 reads as follows: In the above text from Lovett...

According to the Einstein field equations, matter and energy both curve spacetime. I'm wondering how magnetic fields contribute to the curvature of spacetime. I have a few questions: 1. Does a magnetic field in a current-free region of a curved spacetime still satisfy Laplace's equation? Or is...

Classically... interactions are referred to as forces, then after it is quantum(ized) or quantized, it becomes fields... so strong force becomes strong field, weak force becomes weak field, and electromagnetic force becomes electromagnetic field, gravitational force becomes gravitational field...

I am studying to about maxwell's equations on the electric and magnetic field. First of all, just do the example and exercise: https://www.princeton.edu/ssp/josep...ide-to-maxwells-equations-D.-FleischLEISC.pdf I have this dipole antenna...

I was looking into being a physicist (it sounds fun) and I discovered there were multiple fields. However my source was Wikipedia, and I need more information. What fields of physics are there? By field, I mean things like Astrophysics and Particle Physics.

Homework Statement A single ionized uranium ion of mass 6.9 x 10 ^-25 kg is accelerated through a potential difference of 4.4 x 10^5 V. What is the radius of the path it would take if injected at 90 degrees into 0.47 T uniform magnetic field at this velocity? 3. Attempts Since centripetal...

Let's say I've got a charged particle moving with constant velocity and multiple columns of electric field sensors parallel to its path. The sensors will trigger whenever a maximum passes by. Will the sensors in a row be triggered at the same time? If they are, what does it mean for the field...

I am curious as to what fields within the physics realm are going to be growing in the coming years. I am very interested in elementary particle physics but it seems to be a huge field with a lot of people already engaged in a wide variety of research under this topic. I also have an interest...

Typically, particles are said to be excitations of quantum fields. My question is whether fields can be derived from particles. Perhaps virtual particles can be summed up in some way to produce a field, for example. Any theories on this? Thanks.

hello every one can one please construct for me left invariant vector field of so(3) rotational algebra using Euler angles ( coordinates ) by using the push-forward of left invariant vector field ? iv'e been searching for a method for over a month , but i did not find any well defined method...

Homework Statement I really cannot seem to be able to follow the logic of how you would use the product rule when using 4 vector differential operator. ∂μ is the differential operator, Aμ is a scalar field and φ and φ* is it's complex conjugate scalar field. I have the answer, I'd just really...

In some Yang-Mills theory with gauge group ##G##, the gauge fields ##A_{\mu}^{a}## transform as $$A_{\mu}^{a} \to A_{\mu}^{a} \pm \partial_{\mu}\theta^{a} \pm f^{abc}A_{\mu}^{b}\theta^{c}$$ $$A_{\mu}^{a} \to A_{\mu}^{a} \pm...

Hi forum, I have been thinking about the circular magnetic field pattern around a long straight current carrying wire and wondering about what the field pattern would be around an isolated electron moving straight in a vacuum? Somehow the magnetic field of all the individual electrons moving in...

http://www.nature.com/news/not-quite-so-elementary-my-dear-electron-1.10471 It was found out that electrons are made of quasi particles. But kind of fields are the quasiparticles made of?

First, a bit of background. I am currently in a Master's program, studying specifically particle physics and astrophysics. I've always wanted to do research in astrophysics, even from my first day as an undergrad. I've thought about doing research in other fields, but I've never really given it...

Homework Statement 1. The field for an infinite charged sheet is found to be σ/2ε0. If we place 2 infinite sheets of opposite charge above one another, we say that the field in between the sheets is σ/ε0 due to the superposition of individual fields. Why can't we say the same for a situation...

Homework Statement How do I find the direction of the magnetic field at the points? Homework Equations Ampere's B = (UI) / (2*pi*r)[/B]The Attempt at a Solution I know how the Right hand rule, where your thumb is the direction of the current and your hand wraps the direction of the field...

1) Imagine you have a clock but in each number you have a charge "q". If I have a test charge Q at the center, then by simetry, the net force on Q is zero. I imagined like, 1 cancels 7, 2 cancels 8, etc... But then, if I have a polygon with 13 sides, with a test charge Q, the net force also...

Homework Statement A Neutral copper Rod, a polarized insulator rod, and a bar magnet are arranged around a current-carrying wire. Will the neutral copper rod, polarized insulator, and magnet remain stationary?Homework Equations does the electric field of the current carrying wire have an...

Homework Statement Hi, I've got a presentation on an experiment we did using the Helmholtz coil and I'm starting to run dry on material. As some additional applications I found that you can: - Use the coil set up to cancel external interference (Shield other experiments? Not sure about that...

I'm currently working through Robert Klauber's Student Friendly Quantum Field Theory, which by the way is much more accessible than other texts like, say, Peskin and Schroeder, for others also coming into QFT via the self-study path. Anyhow, he mentioned something that never really clicked...

hello every one . can someone please find the left invariant vector fields or the generator of SO(2) using Dr. Frederic P. Schuller method ( push-forward,composition of maps and other stuff) Dr Frederic found the left invariant vector fields of SL(2,C) and then translated them to the identity...

Hi, Can anyone help me in finding out a Diamagnetic or Paramagnetism or Ferromagnetism or any other metal which has following capabilities: 1- Should not be attractive towards magnet. 2- Should not allow magnetic fields to pass through inside. Thanks! THG

Hello. I would like to ask one simple question. Do we need to distinguish E-field (Electric field) in Gauss's law from those in Maxwell-Faraday equation and Ampere's circuit law? I firstly thought that E-field in Gauss's law is only for electrostatics so I need to distinguish it from E-field in...

I understand that a steady flow of current will not induce currents in near by conductors. But, what about a steady flow of current that is being accelerated perpendicularly by a uniform magnetic field? Wouldn't this current produce a time varying magnetic field? This is a conductive disk with...

Homework Statement An electron is released from rest in a weak electric field given by -2.8 x 10^-10 N/C [PLAIN]https://www.flipitphysics.com/Content/smartPhysics/Media/Images/Tipler/Symbols/jhatbold.gif. After the electron has traveled a vertical distance of 1.9 µm, what is its speed? (Do not...

I'm studying for my electrodynamics exam and one of the past exam questions is: From the scalar and vector potentials, derive the homogenous wave equations for E and B fields in vacuum. I did derive the wave equation for the B field by simply taking the curl of the homogenous wave equation for...

I'm a sophomore math and physics double major, and I'm losing interest in physics. I still love math (like seriously love), but I honestly don't see myself working in a physics lab or anything. A lot of the modern physics stuff really does not appeal to me at all. I currently plan on switching...

I just read Carlo Rovelli new book "Reality is Not What It Seems: The Journey to Quantum Gravity" in one sitting. I'd like to know about the following: "Fields that live on themselves, without the need of a spacetime to serve as a substratum, as a support, and which are capable by themselves of...

Another great video from Dominic Walliman mapping out the fields of Physics:

Dominic Walliman's video summarizes the various fields of maathematics in a wonderfully short video: http://sploid.gizmodo.com/take-a-quick-tour-of-the-mind-boggling-universe-of-math-1792041367

So if E and E' are both extensions of K so that both E and E' are splitting fields of different families of polynomials in K[x], then E and E' are not isomorphic, correct? They need to be splitting fields for the same family of polynomials in K[x], correct?

Homework Statement Hi everybody! I have the following problem to solve: An infinitely long and thin straight wire carries a constant charge density ##\lambda## and moves at a constant relativistic speed ##\vec{v}## perpendicularly (##\beta##) and parallel (##\alpha##) to its axis. a)...

Homework Statement Not so much of homework questions but more to do with clarifying concepts: 1. How do i assess whether or not field lines emitted by charged objects (i.e uniformly charged cube) are both perpendicular to their surfaces uniform? This is in relation to taking the E of ∮φ = EdA...

I have been researching a question I have concerning the speed of light in magnetic AND electric fields. I came across an article in arvix but could not quite understand what they were saying. I am not a scientist I am just curious. There was a statement in which was shrouded in a strange...

Though I am definitely not an expert in any way in QM, I understand that on a basic level quantum systems can be solved using schrodinger's equation. For a hydrogen atom, the wave function of the electron is found by using the hydrogen proton as an external potential and proceeding from there...

A question about the relation of light intensities to the actual time-dependent EM field: Suppose I have a system where the functions ##\mathbb{E}(\mathbf{r},t)## and ##\mathbb{B}(\mathbf{r},t)## (time and position dependent electric and magnetic fields) are known. I would like to have an...

The integral form of Maxwell's equation pertaining to induced electric fields is: ∮E(t0)⋅dℓ= −dΦ(t)/dt|t=t0Say for a long time, in some circular region there has been no B or E fields present. Then, there is a sudden constant increase of B field introduced in the middle. I know that information...

I am looking to find a combination of electric and magnetic fields that create something similar to the (d) crests Currently, I have the cracks flipped clockwise 90deg, so that the crests are concave up. And each crest can be defined by a parabolic function (which are uniform with each new...

Hello, I will be attending an undergraduate course called "Theoretical Physics" and I want to borrow some books from the library that cover the material of this course. I would appreciate any suggestions. The syllabus of the course is the following(I will be translating so I am sorry If...

Homework Statement What is the Net force (include direction) acting on charge Q2 due to Q1 and q? (ans: Fnet = 174N right) Homework Equations F=kQ1Q2/r2 E=F/QThe Attempt at a Solution I've figured out a) and b). It's just c) that's giving me trouble. I tried using the first equation - (9.0 x...

Hello, I am NF and just joined. I work on all kinds of diagnostic equipment and like to play with magnets and try to understand the correlation of all things charged.

In case of wire(having uniform linear charge density), without assuming the wire infinite long, why we can't take electric field perpendicular to the curved part of the cylindrical Gaussian surface?

Homework Statement The system consists of a long cylindrical anode of radius a and a coaxial cylindrical cathode with radius b (b <a). On the axis of the system has a thread with a heating current I, creates in the surrounding magnetic field. Find the smallest potential difference between the...

Hi everyone! I may have brought this up in an earlier thread, but thought I'd revisit this. I have browsed the forums for a while, and one common topic that gets brought up is about how competitive tenure-track positions are within physics (certainly within the US, and likely to be the case...

So why, in a classical sense, do we need to come up with the idea that fields carry momentum? I mean, charge 1 pushes charge 2 and charge 2 pushes back via Newtons third law. Of course, we can say that charge 1 creates a field that carrys the momentum, which then affects charge 2 etc. But...

Homework Statement Through my exploration/experimentation, I came up with this little conjecture: Let ##F## be a field and ##x## some element in the field. If there exists a natural number ##m## such that ##x^m = 0##, then ##x=0##. In other words, a field contains no nontrivial nilpotent...

Homework Statement I am trying to express ##T(\phi(x1)\Phi(x2)\phi(x3)\Phi(x4)\Phi(x5)\Phi(x6))## in terms of the Feynman propagators ##G_F^{\phi}(x-y)## and ##G_F^{\Phi}(x-y)## where ##G_F^{\phi}(x-y) =\int \frac{d^{4}k}{(2\pi)^{4}}e^{ik(x-y)} \frac{ih}{-k.k - m^2 -i\epsilon} ## and...

I'm trying to understand potential energy, especially with regard to gravity. There's a double negative that's difficult to grasp: The direction of the force is negative because the vector points radially outward and the force of gravity is directed inward, and the work done to bring an object...