Questions tagged [potential]

Scalar and vector potentials in electromagnetism. The scalar potential is potential energy per unit charge. For potential energy, use the [potential-energy] tag.

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What are other potentials like the Henon-Heiles Potential? [closed]

The Henon-Heiles Potential, as I have learned, is a two-dimensional nonlinear axi-symmetric potential of galactic systems. I wanted to know if there are any other potentials that also describe ...
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Potential difference due to point charges

Now, there are many sources saying the potential difference created by a point source is given by \begin{equation} V=\dfrac{1}{4\pi\varepsilon_0}\dfrac{Q}{r} \end{equation} Which looks like it's just ...
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For calculating gravitational fields/potentials of two objects, can you calculate for each object individually, then add them together?

For example, say I wanted to calculate the total gravitational field created by a solid sphere inside a hollow and finite cylinder, like in the picture below: Can I just use the Poisson/Laplace ...
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Difference between grounding the inner and outer side of a thick spherical shell

I have a conducting sphere with radius $R_1$ and charge $Q_1$ inside a conducting thick spherical shell with inner radius $R_2>R_1$ and outer radius $R_3>R_2$. Both the spheres have the same ...
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Similarity between Potential Energy Function of Polarized Sphere and Cylinder

According to this paper, the potential of any point on the surface at a distance '$h$' from the center of some simple geometric shape is given by For a Sphere: $$V(x)=Mh^2\frac{xcos(\alpha)+hsin(\...
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Height vs Pressure of a ball (using audio method)

I am doing an experiment for my IA which is me holding a basketball from one meter and letting it bounce at different pressures. For measuring this I am going to use a method that I have read about. ...
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Electrostatic Potential using Poisson equation

I'm stuck in the following problem. Having in mind an electrochemical transistor, the situation that we consider is a one dimensional electrolyte with non-uniform concentration of ions (with charge q)....
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Why is the work through the element the same as the potential difference if we define potential difference this way?(lumped elements)

In the Feynman Lectures on Physics part ||, chapter 22-3 he defines potential differnce like this: The picture is an element in a curicuit, the black lines on top and the bottom are the conductors, ...
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Calculating electric potential from electric field [closed]

The Electric field in a region is given as $\vec{E}=-2x\hat{i}+3y^2\hat{j}-4z^3\hat{k}$. Calculate the electric potential at point $(1,2,3)m$ Now we know that electric potential at point $A$ is ...
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Time dilation on earth

Im reading David Tong's notes on General Relativity and at one point, considering both $\frac{\Delta r}{r_A}\ll\,1$ and $\frac{2GM}{r_A}\ll\,1$ he obtains $$T_B=t\sqrt{1-\frac{2GM}{(r_A+\Delta r)c^2}}\...
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How to get the scattering potential from a QFT matrix element?

I'm currently trying to understand, how the matrix element $\mathcal{M}$ from QFT relates to the scattering potential $V(x)$ in the non relativistic limit. In particular for the case of single ...
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What does 'per unit charge' mean?

When we say "potential is the potential energy per unit charge", what does a 'unit charge' actually mean? In a worked example from my textbook, when they find the potential difference, they ...
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What exactly is effective interaction with regards to Feynman diagrams?

What does it actually mean to calculate to calculate the effective interaction using Feynman diagrams? To be concrete, let us consider the example of random phase approximation (RPA) calculation of ...
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Delocalized electron wavefunction for a set of finite potential wells

I have to solve a problem using MATLAB where I have to plot the wavefunctions of the electron in a set of 10 finite potential wells arranged adjacent to each other with the potential at the extreme ...
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Potential on an Uncharged Conducting Sphere Due to a Point Charge

I'm working on a problem where I need to find the change in potential of a point on a conducting sphere ("A") a distance 3R from a point charge "q" (R=radius of the sphere). My ...
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Suppose if we have two 1D boxes, one with an infinite potential and the other one with a finite potential then which one has higher energy?

Suppose if we have two 1D boxes, one with an infinite potential well and the other one with a finite potential then which one has higher value of energy?
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Relating potential difference of electrostatics with circuit

Since absolute potential isn't defined for a point, we take a reference point which is $\infty$, and then define potential of a point $A$ to be the work done per unit charge to move that charge from $\...
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If magnetic monopoles existed, would the electric field also require a vector potential? [duplicate]

I'm studying magnetic duality and it seems that duality is nearly complete for the exception of the apparent non-existence of magnetic monopoles. My issue here isn't this one. My issue is that, if ...
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How to generalize the infinite potential well to $n$ dimensions?

A 1d infinite potential well admits the oscillating sinusoidal solutions. How would one go about to set up the Schrodinger Equation for the $n$-dimensional infinite potential well and find solutions ...
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What exactly does the line integral of an electric field over a closed loop find?

For a conservative electric field, we can always say that $$\oint \vec E\cdot\vec {dl} = 0$$ Take this scenario for example Here $E_1$ and $E_2$ are two different electric fields. If I find $\oint \...
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Proof $\langle p\rangle=0$ if and only if potential is symmetric

I came across a statement where $\langle p\rangle=0$ if and only if the potential in a Hamiltonian is symmetric, i.e. $V(-x)=V(x)$. It made some sort of sense to me comparing with the particle in a ...
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Find the eigenvalue of 1D system of three identical quantum wells

The following is the problem I need help: Consider an electron in an one-dimensional system of three identical quantum wells mounted on a substrate and separated equally by the distance r, as shown ...
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Electric Field's lines and equipotential surface of electric dipole

I'm trying to prove that the Electric Field's lines and equipotential surface of electric dipole are perpendicular each other. But the expressions I have for them both don't contain information about ...
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Induced emf in a rotating disc

A question in my book was given as A conducting disc of radius R rotates about its axis with an angular velocity $\omega$. Then the potential difference between centre of mass of disc and its edge is ...
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Electric potential and field lines

I have learned that electric field lines goes from higher potential to lower potential. First of all, how does this happen? And if the above is the case then suppose I have two uniformly positively ...
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Voltage and Potential in a battery

I would like to think that voltage is like the force provided by the battery to move. When electrons are near the negative terminal of a battery, they experience a repulsive force which makes them ...
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Energy of an object or a system?

We know that the gravitational potential energy of a system consisting of at least two bodies is given by $U=-\frac{Gm_1m_2}{r}$ where masses $m_1$ and $m_1$ are at a distance $r$ from each other. My ...
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Accelerated through a potential difference

Say a electron is accelerated through a potential difference of 10v established between two points A and B 1metre distance apart. Then would i only be able to say that a electron is accelerated ...
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Position from non-conserved potential

I have a non-conservative potential $U_x(x, t)$ in one dimension and that is it (there is no conserved counterpart). Thus, I arrive at the conclusion that the kinetic energy gained in the time $\Delta ...
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Why does current become 0 in potentiometer?

The following image is from my textbook. I understand that using the formulae derived for $I_{2}$ if the emf of the battery is the same as the potential drop between points A and B we get $I_{2}=0$. ...
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What happens to the Potential of a Charged Conducting sphere when it is placed near to a Uncharged Conducting Sphere?

A similar question was asked on stack exchange here And the answer given was good no doubt, but I want to ask If this also applies for the spherical charged conductor(assume Positively charged) ...
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Are the field lines on a bar magnet diagram contour lines?

Following is the representation of magnetic field lines around a bar magnet. The lines drawn, indicate the direction of magnetic field lines. Now I want to know that is this a contour mapping of the ...
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Proving identical electric fields

This is a discussion question from the book University Physics with Modern Physics: 14th Edition. CHAPTER 23: ELECTRIC POTENTIAL, DISCUSSION QUESTION #22 A positive point charge is placed near a "...
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How is the electrostatic potential energy stored in the electric fields?

Potential Energy between two point charges is calculated as follows: First you bring a test charge from infinity to a point then you write the force between them, then you write the variation of work ...
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How to compute electric field between constantly changing potentials (LFP data) [closed]

I have a set of LFP(local field potential) data, which is basically the voltage of different points in the brain at different times. I would like to calculate the electric field at these points at all ...
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Image charge method

First of all, I'm Korean so I'm not good at English. I'm studying on griffiths electrodynamics. In Part.3, when calculating electrical potential above the infinite conductor plane, why the boundary ...
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Could the metric be a tensor product of a 4-vector with itself?

I am really keen on the idea of geometrizing all of physics using the spacetime manifold, so I was happy to find this paper: https://doi.org/10.1088/1742-6596/1956/1/012017 As I understand it, they ...
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Accumulation of charge and potential difference across a resistor

If there is no accumulation of charge across a resistor, how can a potential difference (that is, potential drop) be created across it?
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Intersection of equipotential surfaces

I couldn't comprehend why equipotential surfaces cannot intersect. Now everywhere I searched, the reasons I got were either that the potential at the intersection would be different, or the field ...
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Grounding a conductor with a cavity

Suppose we have a conductor with a cavity that contains a point charge q. Under normal conditions, the presence of the charge inside the cavity would have an effect on the outside world because of the ...
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Potential At The Surface of A Conducting Shell

Problem Statement: A thin conducting shell having charge $Q$, radius $R$, and three point-charges $Q$,$-2Q$, and $3Q$ are also kept at points $A$, $B$, and $C$ respectively as shown. Find the ...
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What is the meaning of the lower limit in $V(r)=-\int_{\infty}^r E(r^{\prime})\,dr^{\prime}$?

This is a follow up to my previous question I asked some time ago, I was doing some revision and realized I had no idea what eqn. $(1)$ actually meant (see below). My question is regarding the ...
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How to calculate the amplitude of two degenerate vacuums?

I've seen in textbooks and heard from lecturers that spontaneous symmetry breaking (SSB) does not happen in quantum mechanics because of the tunnelling between two degenerate vacua (i.e amplitude of ...
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Why the amplitude in the third region is decreasing as compare to that of first region? Please explain its physical significance [closed]

Consider a finite potential barrier and the case where the energy of the particle is lower than that of finite potential. The figure is shown and we have three regions. As I solved the Schrödinger ...
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Questions on electric field and electric potential [closed]

Where will you find a zero field but a defined electric potential? Where will you find a zero potential but a defined electric field?
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Is electric potential at a point defined due to an "isolated" point charge?

If there is a fixed point charge then it has its fields in the surrounding and it doesn't matter whether there is another charge near or not. But for potential, it is defined as electric potential ...
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Confusion with Electrostatic Potential Difference

Suppose that you have a positively charged plate at a plane (xy-plane, for example). Therefore this plate exerts an electric field with a magnitude of σ/2ε₀. Due to this, there will be the same ...
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Solid Conducting sphere is placed inside a metallic shell the conducting sphere is given a charge Both are connected does all charge flow to the shell [closed]

Here the solution says that all the charge goes into the outer shell, is this correct ? If then why ? Shouldn't the charge transfer happen until the potentials of the outer shell and inner conductor ...
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Solving poisson equation of point charge using integration

I want to solve the poisson equation of a point charge at $\vec{r}=0$ using integration. But I got some problems So the equation that needs to be solved is: $$ \bigtriangleup\phi=-4\pi\rho \Rightarrow\...
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Finding the energy stored in an spherical shell, but integral diverges

I am attempting to find the energy stored in assembling an spherical shell (denoted by $S$) uniformed distributed of total charge $q$, and radius $R$. To do so, I want to use the formula: $$W = \frac{...

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