What is Fields: Definition and 1000 Discussions

FIELDS is a science instrument on the Parker Solar Probe (PSP), designed to measure magnetic fields in the solar corona during its mission to study the Sun. It is one of four major investigations on board PSP, along with WISPR, ISOIS, and SWEAP. It features three magnetometers. FIELDS is planned to help answer an enduring questions about the Sun, such as why the solar corona is so hot compared to the surface of the Sun and why the solar wind is so fast (a million miles per hour).The host spacecraft, Parker Solar Probe, was launched by a Delta IV Heavy on August 12, 2018 from Florida, USA. On August 13, 2018 FIELDS became the first instrument to be activated including beginning deployment of the 4 whip antenna (clamps unlocked) and extension of the magnetometer boom. On September 4, 2018 the whip antennas were deployed.

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  1. P

    Evidence of Electromagnetic fields causing spacetime curvature?

    Hi All, Just wanted to know, is there any experimental or observational evidence today, that electromagnetic fields can cause spacetime curvature? Either direct or indirect?
  2. P

    Electric Potential in electric fields true/false

    Homework Statement 1. If the electric field is zero at a point, the potential must also be zero at that point 2. If the electric potential is zero in some region of space, then the electric field must also be zero in that region. 3. If the electric field is zero in some region of...
  3. J.Hong

    Operator algebra of chiral quasi-primary fields

    Studying conformal field theory, I tried to derive general expression for the commutation relations of the modes of two chiral quasi-primary fields. At first, I expressed the modes \phi_{(i)m} and \phi_{(j)n} as contour integrals over each fields, and took commutation relation. I used...
  4. Math Amateur

    MHB Polynomial Rings, UFDs and Fields of Fractions

    [This item has also been simultaneously posted on MHF] Polynomial Rings, UFDs and Fields of Fractions In Dummit and Foote Section 9.3 Polynomial Rings that are Unique Factorization Domains, Corollary 6, reads as follows...
  5. R

    Exploring Magnetic Fields in a Coiled Wire

    Homework Statement A 1.0 m piece of wire is coiled into 200 loops and attached to a voltage source as shown. A. Find the strength of the magnetic field inside the coil if V = 100 V and R = 40 Ω. B. Which direction does the magnetic field point? C. The wire is then uncoiled and re-wrapped so...
  6. M

    CMB Angular Distribution: Understanding Gaussian Random Fields

    Dear all, I don't understand why the Cosmic Microwave Background's angular distribution is considered to to a Gaussian random field initially. The rest of the analysis is roughly clear to me, COBE/WMAP/PLANCK measure the CMB Photons and show the temperature fluctuations w.r.t. the mean...
  7. M

    Showing properties of Ordered Fields

    Homework Statement Let S = {(a, b): a, b \in \mathbb{Z} and b ≠ 0}. An equivalence relation "~" on S is defined by (a, b) ~ (c, d) iff ad = bc. 1) For any b \in \mathbb{Z} \setminus {0}, show that [0/b] = [0/1] and [b/b] = [1/1]. 2) For any a, b \in \mathbb{Z} with b ≠ 0, show that...
  8. M

    Quantum Fields in Curved Space-times

    Hello, people: I've been wondering about the definition of Quantum Fields in Curved Space-times (CS). I know that, in flat space-time (Minkowski), the fields are defined as irreducible representations of the universal covering group SU(2)xSU(2) of SO(4) (which is basically the Lorentz group...
  9. caffeinemachine

    MHB Splitting Fields. Prove Q(alpha^4)=Q(alpha)

    Let $f(x)\in \mathbb Q[x]$ be an irreducible polynomial of degree $n\geq 3$. Let $L$ be the splitting field of $f$, and let $\alpha\in L$ be a zero of $f$. Given that $[L:\mathbb Q]=n!$, prove that $\mathbb Q(\alpha^4)=\mathbb Q(\alpha)$. ____ Attempt: Lemma: Let $F$ be any field and $f,g \in...
  10. T

    Relationship between force and Velocity in Magnetic Fields

    A negative particle is moving in a uniform magnetic field pointing in the negative k direction. The force on the particle is -i and j. Find the x and y components of velocity. (I left out the numerical data in the question). I used F=q*v*B and in order to find the x component I used the F in the...
  11. C

    Do magnetic fields have any effect on dielectric breakdown

    Would a magnetic field have any effect on the dielectric breakdown of insulators? For example, the dielectric breakdown of air is 3 Mega volts per meter at a gap of one meter; if you applied a magnetic field to that breakdown, would it help guide the electrons along the path and therefore reduce...
  12. S

    Kahler potental terms linear in visible sector fields

    Hello, I have a question regarding the expansion of the Kahler potential in visible sector fields C^{\alpha} : It is usually said that the Kahler potential can be expanded as follows: K = K_{hid}(\phi,\phi^*) + K_{\bar{\alpha} \beta}(\phi,\phi^*) C^{*\bar{\alpha}} C^{\beta} + \frac{1}{2}...
  13. V

    Static situations and electric fields - special relativity

    Homework Statement Is it possible to create an electrostatic field E(x) (in 3 spatial dimensions x and E is a vector of course) such that i) E(x) = a × x (cross product) ii) E(x) = (a.x) b (dot product between a and x) where a,b and non-zero vectors that do not depend on time and the...
  14. Ackbach

    MHB Get WolframAlpha to Plot Slope Fields to DE's

    Does anybody (Jester?) know how to get WolframAlpha to plot slope fields to, say, $y'=f(x,y)$? For example, $y'=x^{2}$, and I want the slope field plotted up with $x\in[-2,2]$ and $y\in[-2,2]$. What would the actual command be? Thanks in advance!
  15. Math Amateur

    MHB Rings of Fractions and Fields of Fractions

    I am seeking to understand Rings of Fractions and Fields of Fractions - and hence am reading Dummit and Foote Section 7.5 Exercise 3 in Section 7.5 reads as follows: Let F be a field. Prove the F contains a unique smallest subfield F_0 and that F_0 is isomorphic to either \mathbb{Q}...
  16. R

    Calculating Magnetic Field for a Circular Wire with Given Parameters

    Homework Statement Heres the question: http://imgur.com/aFJFxLa Homework Equations B = μ0/2∏r The Attempt at a Solution μ0 = 4∏*10^-7 Magnetic field = μ0/2∏r + μ0/2∏r = μ0/2∏(0.05) + μ0/2∏(0.05) = 4*10^-5 The answer is 24*10^-6 T. I need...
  17. U

    Line integral conservative fields

    Homework Statement Homework Equations The Attempt at a Solution I used ∇ X F for part (a) and part (b) and found both to be ≠ 0. Thus both cases F is not conservative. I have no clue about the second part, as both arent conservative...
  18. R

    Determine electric field at point P, Electric fields question

    Homework Statement Heres the probelm: http://imgur.com/TbzJxVa Homework Equations e = kq/r^2 The Attempt at a Solution q-p Ex = (9*10^9)(4)/(0.80)^2 = 5.625*10^10 Q-p E1 = (9*10^9)(6)/(1)^2 = 5.4*10^10 Ex = E1sin45 = -3.82*10^10 Ey = E1cos45 = 3.82*10^10 P p =...
  19. Math Amateur

    MHB Polynomial Rings over Fields

    I am reading Dummit and Foote Section 9.2: Polynomial Rings Over Fields I I am having some trouble understanding Example 3 on page 300 (see attached) My problem is mainly with understanding the notation and terminology. The start of Example 3 reads as follows. "If p is a prime, the ring...
  20. A

    Calculating electric fields due to continuous charge distributions

    calculating electric fields due to continuous charge distributions? a question I came across doing some electric field questions, and the answer was really confusing. Homework Statement Charge is distributed along a linear semicircular rod with a linear charge density λ as in picture...
  21. C

    Question about potential functions from conservative vector fields

    Homework Statement 1) Show that ##\underline{a} = \underline{r} f(r)## is conservative and deduce a functional form for the potential if ##f(r) = r^n##. For what value of n does the potential diverge at both ##\underline{r_o} = 0## and ##\infty##? The Attempt at a Solution I have found...
  22. T

    Levitation using directed electric fields

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  23. M

    Magnetic Fields from Currents in a Wire and a Cylindrical Shell

    1. Homework Statement [/b] A solid cylindrical conducting shell of inner radius a = 4.9 cm and outer radius b = 6.1 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current I2 = 7.4 A in the positive z-direction. An inifinte conducting wire is located along...
  24. Spinnor

    Can unquantized fields be considered smooth curved abstract manifolds?

    Can unquantized fields be considered smooth curved abstract manifolds? Say free particle solutions of the Dirac equation or the Klein Gordon equation? Can quantized fields also be considered curved abstract manifolds? Thanks for any help!
  25. Spinnor

    Bob makes a local gauge trans., can Alice undo with some fields?

    Say Alice gives Bob the wave-function, a momentum eigenstate, of a charged particle. Bob then makes a local gauge transformation on the wave-function, ψ --> exp[iqθ(X,t)]ψ. Can Alice now undo the local gauge transformation with the right addition (or subtraction?) of electromagnetic...
  26. R

    Ampere's Law: Determining magnetic fields of a shell conductor

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  27. R

    The slopes of these graphs represent what? (Magnetic Fields)

    For a magnetic fields lab I am asked to graph the data and from there, use the slope to find a certain value. For one of them, I am asked to plot the current (x) vs the magnetic field (y). The slope is supposed to give me a value, I have the slope, no clue what the value would represent...
  28. G

    Magnetic Fields from Two Infinite Sheets of Current Problem

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  29. H

    Divergence and Radially Symmetric Fields

    Is it possible for a spherically symmetric field, on all of R^3, to have a divergence of 0? (assuming the field is nonzero) Relevant equation: F=f(ρ)a (a is a unit vector of <x,y,z>) and f(ρ) is scalar fxn, and ρ = lal
  30. P

    MHB Integral closure in finite extension fields

    Let $K=\mathbb{Q}[\omega]$ where $\omega^2+\omega+1=0$ and let $R$ be the polynomial ring $K[x]$. Let $L$ be the field $K(x)[y]$ where $y$ satisfies $y^3=1+x^2$.Which is the integral closure of $R$ in $L$, why?
  31. K

    Lenz's law - magnetic fields and Currents

    Hey Pf.. I am trying to understand Lenz's law, but somehow it doesn't make sense. In my book there is some checkpoints execise to test wheather you've understood what you read about, one those checkpoints looks like this. http://snag.gy/NCNLh.jpg I do understand why the current in...
  32. Astronuc

    Time-Harmonic Electromagnetic Fields by Roger Harrington

    Author: Roger Harrington Title: Time-Harmonic Electromagnetic Fields (IEEE Press Series on Electromagnetic Wave Theory) Amazon Link: https://www.amazon.com/dp/047120806X/?tag=pfamazon01-20 Prerequisities: Undergraduate degree in Electrical Engineering or Physics, with appropriate...
  33. J

    Angular frequency of orbiting charge in electric and magnetic fields

    Homework Statement A particle of mass m and charge -q moves in a circular orbit of radius R about a fixed charge Q. The angular frequency for the orbit is given by \omega_0^2 = \frac{qQ}{4 \pi \epsilon_0 m R^3} A uniform magnetic field of magnitude B in a direction perpendicular to the plane...
  34. A

    Magnetism and Magnetic Fields- Determining mass of ion

    Homework Statement An ion of mass m and charge q is accelerated from rest through a voltage of ΔV. It then enters a magnetic field. Determine the mass of the ion in terms of the measurable quantities: q, ΔV, (B^→) , and x. Homework Equations The Attempt at a Solution m =...
  35. S

    Alternating current and magnetic fields

    We know that a direct current generates a magnetic field which surrounds the wire in circular patterns (right-hand rule). However when alternating current runs through a wire, no actual electrons are transported from one end to the other but rather they "vibrate" so to speak and transmit this...
  36. S

    Are grand unified theories the solution to the problem of multiple fields?

    A lot of below might be a question of semantics however it helps to understand better, I am a novice: 1. What's the difference between a field and a dimension? A field is present at all points in time and space, ...so is a dimension. why don't we call/label a field as a dimension? 2. or...
  37. M

    Conservation of Energy: Comparison between momentum & magnetic fields

    Momentum and magnetic fields are both vector quantities. If two bodies with the precise mass and speed collide head on (θ = 0), then momentum is conserved (they come to a complete stop) and energy is conserved (the kinetic energy is changed to other forms). What then happens in the case of...
  38. G

    Conductors in large electric fields

    You place a conductor in an electric field. The charges inside the conductor will relocate, to form an opposing electric field which cancels the outside field, making the field inside the conductor zero. However, surely there's a limit to how big an opposing field the charges in the...
  39. R

    Why don't scalar fields propagate superluminally?

    This is a really basic question, but... Say I have a massive scalar field obeying the Klein-Gordon equation linearized about flat space, \partial_t^2 \phi + (k^2 + m^2)\phi = 0. This has solutions \phi \sim e^{\pm \sqrt{k^2 + m^2}t} and the sound speed should be \omega_k/k =...
  40. I

    Quick question about electric fields in capacitors.

    Homework Statement At which location will the electric field between the two parallel plates of a charged capacitor be the strongest in magnitude? a. near the positive plate b. near the negative plate c. midway between the two plates at their ends d. midway between the two plates nearest...
  41. P

    Why is there a correlation between gravitational and magnetic fields?

    A gravitational field and a magnetic field both decrease in strength at the distance squared. They are two totally different forces so why the correlation?
  42. F

    Electric fields through parallelepiped

    I have taken my Gauss surface as the front of the shape, with E_1 coming through uniformly. I get the right answer for the charge inside the shape, but I'm unsure about b. I imagine a situation that I've drawn could be possible, but I've never seen it before, so I do not know. I'm thinking that...
  43. M

    Particle released into electric and magnetic fields perpendicular

    Homework Statement z+ up with E field, y to the right, x out of the page with B field particle released from rest at (0,0,0) with only initial y velocity y=(E/B)t or initial y=(E/2B)t Homework Equations can you suggest a good differential equations text...
  44. F

    Fields through an insulating slab

    After writing this, I realized that I really have no idea what I'm going on about. Mainly, I don't understand the significance of it being an insulating object. I gather this means the charge is distributed uniformly throughout the object, rather than at the surfaces, but I don't know how I can...
  45. E

    Gauss's Law and Electric fields

    It is asked to find the electric flux through a "gaussian" sphere which has a point charge (-3 microcoloumbs) enclosed with the radius of 0.2 m ... I can shortcut this and use Flux= q Enclosed / e0.. However, i want the other approach using the formula Flux = ∫ E da... I know that E is constant...
  46. U

    E-B crossed fields parallel plate

    Homework Statement A parallel plate has p.d. V with one end 0V and the other +V. B-field of strength B has direction along plates. An electron is released from rest at 0V plate. Show that if V is less than e(DB)2/(2m) the electron will not reach the other plate. Homework Equations...
  47. J

    Help understanding E fields for line of charge and ring.

    Homework Statement I am going through the example problems in the book and it shows me how to find the electric field of a line of charge, which is this http://imageshack.us/a/img24/8932/img0303fq.jpg I get to this part where they change ΔQ to (Q/L)ΔY...
  48. M

    Magnetic Fields - Just Convenient Mathematical Conceptualizations?

    With my term-end examinations fast-approaching, I sat down to revise my entire senior year physics syllabus. As I was reading through electromagnetic induction, I found myself in the same state of utter confusion that I found myself in when I first studied about Lenz's Law and Eddy Currents. But...
  49. K

    Motion in fields - Space Shuttle orbiting the Earth

    I don;t really know how should I "tackle" this problem. The only thing I got is the answer for a) i) 1.9 * 10^11 J. It's a problem from IB Oxford Study Guide. http://img59.imageshack.us/img59/4986/fiz6.jpg I would be very grateful if You could help :) Thanks!
  50. P

    Rings and Fields- how to prove Z[x]/pZ[x] is an integral domain

    Homework Statement Prove Z[x]/pZ[x] is an integral domain where p is a prime natural number. Homework Equations I've seen in notes that this quotient ring can be isomorphic to (z/p)[x] and this is an integral domain but I don't know how to prove there is an isomorphism between them and...
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