What is Potential: Definition and 1000 Discussions

Potential generally refers to a currently unrealized ability. The term is used in a wide variety of fields, from physics to the social sciences to indicate things that are in a state where they are able to change in ways ranging from the simple release of energy by objects to the realization of abilities in people. The philosopher Aristotle incorporated this concept into his theory of potentiality and actuality, a pair of closely connected principles which he used to analyze motion, causality, ethics, and physiology in his aPhysics, Metaphysics, Nicomachean Ethics and De Anima, which is about the human psyche. That which is potential can theoretically be made actual by taking the right action; for example, a boulder on the edge of a cliff has potential to fall that could be actualized by pushing it over the edge. Several languages have a potential mood, a grammatical construction that indicates that something is potential. These include Finnish, Japanese, and Sanskrit.In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in space, from which many important physical properties may be derived. Leading examples are the gravitational potential and the electric potential, from which the motion of gravitating or electrically charged bodies may be obtained. Specific forces have associated potentials, including the Coulomb potential, the van der Waals potential, the Lennard-Jones potential and the Yukawa potential. In electrochemistry there are Galvani potential, Volta potential, electrode potential, and standard electrode potential. In the
thermodynamics, the term potential often refers to thermodynamic potential.

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  1. T

    Getting electric potential from charge density over whole sp

    Homework Statement Let’s say I have got a charge density $\rho (x,y,z) = \cfrac{C}{x^2}$ with C a specific constant. I want to know the potential on every point in space. How can I get an expression of the electric potential in terms of position? Homework Equations Gauss law/coulomb's law...
  2. CDL

    I Probabilities Associated with Sudden Changes in Potential

    Hi, I have a question about calculating probabilities in situations where a particle experiences a sudden change in potential, in the case where both potentials are time independent. For example, a tritium atom undergoing spontaneous beta decay, and turning into a Helium-3 ion. The orbital...
  3. P

    Potential difference across a resistor

    Homework Statement Two cells of same emf E and different internal resistance r1 and r2 are connected in series to an external resistance R.The value of R for which the potential difference across the first cell is zero is given by (A) R=r1/r2 (B)R=r1+r2 (C)R=r1-r2 (D)R=r1r2 Homework Equations...
  4. B

    Analogy for Electrical potential

    When the eletctric field was defined I could totally relate to E is like g in mechanics. But for the electric potential I don't know. What would be equivalent analogy?
  5. ChrisVer

    A Is the Higgs Field Potential Still Symmetric Post-Electroweak Symmetry Breaking?

    Hi, a fast question... I was having somekind of a discussion, and I actually hit a dead end to the way I could explain my statement. I believe that after the Higgs Mechanism and SSB, the resulting potential of the Higgs Field should no longer be symmetric to rotations : I am saying this because...
  6. Murphy.T

    Potential Energy of an Electron near a negative source charge

    If an electron starts from rest 85.0 cm from a negative fixed source charge of -0.135 micro coulombs we use the equation ke final - ke intial + pe final - pe intial. In solving you use ke = pe which appears to cancel out the inital kinetic and potential energy but how can the initial potential...
  7. V

    Vector potential of a plate with a uniform, time-harmonic current density

    Hi all, i tried to do this question but got stuck on the last point . Can anyone help me please? The general form of vector potential: I got the answer for A1 vector potential but don't know what assumptions i need to get the expression for the A2. Does anyone know how one can derive it...
  8. MathematicalPhysicist

    I A minus sign in the gravitational potential

    So we have the Newtonian gravitation potential given by ##\phi_M(r)=-GM/r##, and in class the teacher said that the Newtonian force is given by ##F_m = -m\nabla \phi_M(r)##. Now, I was thinking about what was taught in UG or high school, isn't the force should be ##F_m = GmM/r^2##, if I plug...
  9. F

    The value of potential difference between two points

    Homework Statement Homework Equations ##ΔV=Ed## The Attempt at a Solution ##V_A=E l## ##V_b=0## , because point B is perpendicular to the electric field ##ΔV = V_a + V_b## = El Is my answer correct ?
  10. W

    Understanding Electric Potential and Field in a Ring of Charge

    Homework Statement A potentially silly question that I have put off too long to ask, any assistance is greatly appreciated! The electric field evaluated along the Z axis of a ring of charge centered on the origin and lying on the XY plane is only a function of ##z## and points only along...
  11. F

    The electrostatic potential energy of two spheres

    Homework Statement Homework Equations The Attempt at a Solution Is my answer correct ?
  12. Sunanda

    Electric Potential due to a single point charge

    Please refer to the image attached. So, my doubt is: While calculating dW in the derivation, we know this work is being done by external force, because only then the unit positive charge can be made to move towards the charge +Q. So dW should be equal to Fext.dx but here in the book it is shown...
  13. A

    B Mass-Energy Equivalence: Matter as Potential Energy?

    I think mass as a form of potential energy and am always told that this is wrong. According to wiki: "In physics, potential energy is the energy possessed by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors." Why do this...
  14. F

    Find the electric potential energy

    Homework Statement Homework Equations ##V= \frac {kq}{r}## ##V= \frac {U}{q}## The Attempt at a Solution ##V= \frac {kq}{r}## = 9*109*-5*10-9 /0.1= -450 V ##U= \frac {V}{q}## = -450 * -2*10-9 = 900nJ Is my answer correct ?
  15. K

    Is the Setup for the Electric Scaler Potential Integral Correct?

    Homework Statement Homework Equations V=¼*(1/(π∈) * ∫(ρs/(R')*ds' where R' is distance from point to surface R'=|R-Ri| distance from observation point to location of surface charge density. The Attempt at a Solution So my attempt was to define R' as R'=√((-r)2+(-Φ)2+(z)2). Then I said...
  16. F

    Find the potential difference between A and B

    Homework Statement Homework Equations V = kq / r The Attempt at a Solution VA = k q / rA VB = k q / rB rB = √((√8 * R)2 + R2) = 3 R VB = k q / 3R ΔV = | VA - VB | = | kq / R - Kq / 3R | = 2 kq / 3 R Can somebody check my answer please ?
  17. J

    Deriving gravitational potential energy -- mistake

    Homework Statement Hi I'm attempting to derive the gravitational potential energy of a point mass (##m##) that's moving from infinity to a point r' inside a gravitational field produced by a another mass ##M##. For simplicity I treated it as a one dimensional case. The problem I get is that the...
  18. Warda Anis

    Perturbation for Yukawa Potential

    Homework Statement The photon is normally assumed to have zero rest mass. If the photon did have a tiny mass, this would alter the potential energy the electron feels in the hydrogen atom (due to the Coulomb interaction with the proton). The potential then becomes yukawa potential...
  19. T

    Potential Difference Problem - setting up the integral

    Homework Statement Homework Equations V=kq/x The Attempt at a Solution I know the correct solution. It's... On my first attempt, rather than use (d+x) in the denominator and integrate from 0 to L, I instead used (x) and integrated from (d) to (L+d). This produces the wrong answer...
  20. J

    Potential difference between two points in a loop

    Homework Statement Homework EquationsThe Attempt at a Solution If we consider the bigger semicircular arc BD alone then potential difference between B and D will be 4BvR . If we consider smaller semicircular arc AC alone then potential difference between A and C will be 2BvR . If we...
  21. Phantoful

    Bead on a string, find y(x) if horizontal velocity is const.

    Homework Statement Homework Equations K = (1/2)mv2 U = mgh W=Fd Integration/Calculus The Attempt at a Solution I'm not sure what I should be doing for this question, if height changes how is it possible that velocity stays the same, according to the conservation of energy (frictionless wire)...
  22. Z

    Fluid Dynamics -- Use the Milne-Thomson circle theorem to show the complex potential for a fluid....

    Homework Statement Two equal line sources of strength k are located at x = 3a and x = −3a, near a circular cylinder of radius a with axis normal to the x, y plane and passing through the origin. The fluid is incompressible and the flow is irrotational (and inviscid). Use the Milne-Thomson...
  23. tomalku

    Equation of scaler potential problem

    Homework Statement Homework Equations Equations of Lienard Wiechert Potential The Attempt at a Solution I had used the equation of scaler potential. I don't understand how to use angle 60 degree is this equation. suggestion needed
  24. J

    I How does the Higgs scalar potential evolve with temperature?

    How does the Higgs scalar potential evolve with temperature? Is there possibility they are independent? Besides temperature. What else can theoretically affect the higgs scalar potential?
  25. D

    Electric Potential Question

    1. Homework Statement : A graph of the x component of the electric field as a function of x in a region of space is shown in the figure [attached] below. The scale of the vertical axis is set by Exs = 47.5 N/C. The y and z components of the electric field are zero in this region. Suppose that...
  26. Const@ntine

    Potential Difference/Voltage-Graph Help Needed (Long)

    Homework Statement Alright, this is a Lab Exercise, so it's light on an actual introduction and data, but I'll do my best to put into words the whole thing. The gist of it is that we have a Vat with water, a millimetre paper at the bottom, and we put two Equipotential surfaces inside. We charge...
  27. Tomi Kolawole

    The potential difference between a sphere shell and a point

    I am to use this formula: https://d2vlcm61l7u1fs.cloudfront.net/media/fee/fee798ea-5480-47af-9904-35c76ac35e25/phpSzecLa.png I tried using intergral of (E*dr) as in the equation to integrate over the distance of V(2A)-V(0) But when i am to plug in zero into my integrate it would give a math...
  28. G

    Potential of an undefinided cylinder

    Homework Statement Determine the potential that creates an undefined cylinder of radius $R$ and density density $\rho$ that is uniformly charged. Homework Equations Gauss's law. The Attempt at a Solution I know that for this problem I can use gauss because it is a cylinder, now I do not get...
  29. C

    Electric Potential Energy-minimum distance between two pucks

    Homework Statement Two frictionless pucks are placed on a level surface, as shown(see diagram) at an initial distance of 20.0m. The mass of puck 1 is 0.80kg and has a charge of +3.0 x10-4 C, while puck two has a mass of 0.40 kg and a charge of +3.0 x10-4 C. The initial velocity of puck 1 is...
  30. C

    What is the electric potential at points A and B?

    Homework Statement They're in the attachment Homework Equations V=kQ/r The Attempt at a Solution I was absent during this class,so I have no idea,but I attempted question a which is the potential at point a,b Point a=(9*10^9 * 10*10^-6/0.2) Point B=(9*10^9 * -8*10^-6/0.3)
  31. Gene Naden

    Potential near the center of a charged hollow sphere

    I worked problem 2.28 of Nayfeh and Brussel's Electricity and Magnetism. The problem asks for the potential near the center of a charged hollow sphere, based on the near-field expansion given by equation 2.62, which is: ##\Phi=\frac{1}{4\pi\epsilon_0}[\frac{dq}{r^\prime}+ \vec r \cdot \int...
  32. fluidistic

    I Mean speed of electrons in a periodic potential / lattice

    Hello people, I have 3 questions related to the mean speed of electrons in a period potential /lattice. I've read Ashcroft and Mermin's page 139 as well as the Apendix E. From what I understood, if one applies the momentum operator on the wavefunction of a Bloch electron, one doesn't get a...
  33. J

    Split Kinetic and Potential Term in Action in Independt. Var

    Homework Statement [/B] I have the following expression: $$S=T+V$$ $$T=\frac{m}{\tau_0+it}((x_1-x_0)^2+(x_2-x_1)^2)+\frac{m}{2(\tau_1-it)}(x_2-x_0)^2$$ $$V= \frac{(\tau_0+it)}{2}(\frac{k_0 x_0}{2}+\frac{k_0 x_2}{2}+k_0 x_1)+(\tau_1-it)(\frac{k_1 x_0}{2}+\frac{k_1 x_2}{2})$$ The main goal...
  34. Phi6er

    A I need a spherically symmetric spin-dependent NN potential

    First, I'll give a little background so you guys know why I've arrived at this issue. I'm writing my BSc thesis right now, and the point of the thesis is to predict the bound states of two-nucleon systems (one bound, others not) by treating the problem as a simple QM two body problem. With a...
  35. Wes Turner

    Change in electric potential energy

    Homework Statement As an electron (q2) moves from point A to point B, it moves farther from a positive charge (q1). Does the electric potential energy increase, decrease, or stay the same. Homework Equations U=-kq1q2/r The Attempt at a Solution The electric potential energy decreases in...
  36. Spinnor

    I Vector potential A_mu from scalar function theta(x_mu)?

    Suppose we have a scalar function θ(x,y,z,t) of space and time where theta is some angle (0≤θ≤2π) that represents the compact coordinate of a 3 dimensional space (x,y,z) filling membrane at the space time point (x,y,z,t) in a compact space dimension w. Suppose that charge density "pushes" on the...
  37. TheBigDig

    Time-dependent potential difference between two ends of a loop

    Homework Statement A straight copper wire that carries a sinusoidal current with an alternating frequency of 50 Hz and a maximum amplitude of 0.5 A passes through the centre of a circular ring of a second copper wire, with the two wires orientated perpendicularly to each other. The radius of...
  38. Physics345

    Electric Potential Difference

    Homework Statement In a TV tube, an electric potential difference accelerates electrons from a rest position towards a screen. Just before striking the screen, the electrons have a wavelength of 10×〖10〗^(-11) m. Find the electric potential difference. Homework Equations ∆E_K=q∆V λ=h/mv The...
  39. T

    Charged capacitors connected together, find the final potential difference

    Homework Statement Homework Equations C = Q/V The Attempt at a Solution Q1 = Q2 C1*V1 = C2*V2 2*V1 = 5*V2 V2 = 2/5*V1 V1+V2 =100 7/5*V1 = 100 V1 = 71.4 V Can someone verify my working? Thanks!
  40. F

    Electric potential and voltage in a circuit

    As I understand it, electrical potential is the potential energy of a unit charge in some point in space. How does this idea relate to the idea of voltage in a circuit? The term electric potential seems to be used for both.
  41. T

    Confirming my logic on potential difference

    Homework Statement You’ve decided to protect your house by placing a 5.0 m tall iron lightning rod next to the house. The top is sharpened to a point and the bottom is in good contact with the ground. From your research, you’ve learned that lightning bolts can carry up to 50 kA of current and...
  42. K

    What does a negative potential energy mean?

    A consequence of Coulomb's law is that oppositely charged particles have a negative potential energy. I'm having trouble undsrstanding how anything can have a negative potential energy and what consequences that has. Does it just mean the change in potential energy is negative or is it a matter...
  43. Sultan Abdullah

    Does the Earth have potential energy?

    well, we say that an object on Earth has a potential energy that is dependent on its position, i.e height. In this case we take Earth as reference point, similarly if we take sun as reference point, the Earth should have some sort of potential energy.
  44. J

    Potential difference and charge across a capacitor

    Homework Statement Homework EquationsThe Attempt at a Solution Apologies for the question image not being very clear . I will refer capacitors by numerical value of their capacitance . The 6 , 4 , 8 capacitors are in parallel . 9 , 9 , 7 are shorted out .So , we can remove them from the...
  45. J

    Time period from potential energy expression

    Homework Statement Homework EquationsThe Attempt at a Solution U = 5x2 - 20x F = -dU/dx F = -10x + 20 The expression for force doesn't look like motion is SHM . How should I deal with this ?
  46. S

    Energy Gap of 2 states in a deep rectangular potential well.

    What is the energy gap between the ground state (n=0) and the first excited state (n=1) of an electron trapped in a deep rectangular potential well of width 1Å?
  47. J

    Medical Diagnostic procedure turned into potential treatment

    Hello everyone, I found this article that explains how some sorts of radiation treatments could be controlled with positron-emission tomography (PET). A team of researchers, led by Professor Samuel Achilefu from the Washington University School of Medicine’s departments of radiology and...
  48. BWV

    Is blockchain's potential overhyped?

    Not talking about crypto-currencies, but the technology itself. the standard argument one hears is something like 'bitcoin may be a scam, but blockchain represents a revolutionary breakthrough that will change the world' Asking about the technology itself, will it really become the backbone...
  49. F

    Potential of hollow open ended cylinder

    Homework Statement A hollow circular cylinder, of radius a and length b, with open ends, has a total charge Q uniformly distributed over its surface. What is the difference in potential between a point on the axis at one end and the midpoint of the axis? Show by sketching some field lines how...
  50. F

    Potential of charged cylinder

    Homework Statement For the cylinder of uniform charge density in Fig. 2.26: (a) show that the expression there given for the field inside the cylinder follows from Gauss’s law; (b) find the potential φ as a function of r, both inside and outside the cylinder, taking φ = 0 at r = 0. 2...
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