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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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Vector potential of Weird loop

I have to calculate the vectorpotential of a current flowing through the loop at the origin: where the current is given by $I(t)=kt$ for some $k>0$. Given equations $$\mathbf{A} = \frac{\mu_0}{4\...
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How does 1D Schrödinger equation arise out of the postulated 3D Schrödinger equation and solving 1D particle using 3D Schrödinger equation?

I've stumbled upon this question when I was trying to solve the Schrödinger equation for a particle confined to a 1D line with some given time independent potential $V(x)$. The energy eigenstates ...
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Ambiguity with the integral when calculating the electric flux [closed]

We had an exam question as follows: Given a potential $V(r)=kq\frac{(r+a)}{(r-a)}$, where $q$ is a positive elementary charge and $a$ a positive constant, we were asked to find the expression of `the ...
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Equipotential surface of Hemispherical charge distribution

I was attempting a question of electrostatics from the book Pathfinder for Olympiads and Jee advanced Physics. In a solution of certain question, the base of a uniform hemispherical charge ...
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Multiple separate infinite square wells [closed]

I’ve been pondering the infinite square well, and, in particular, the case of multiple infinite square wells. To be clear, I am asking about multiple infinite square wells separated by regions of ...
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Vector Potential Derivation [closed]

I'm practicing how to rigorously derive potentials due to many sources by using vectors in integrals. Let's say I'm finding the gravitational potential at position $\vec{r}$ due to a point mass $M_i$ ...
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Hydrogen atom energy: $n$ vs $l$ (QM)

I've come across a problem that states the following: let two (separate) particles be subject to a central potential $V(r)$. Their reduced radial function is depicted in the following image: Which ...
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Two charges 5×10–8 C and –3×10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero [closed]

Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
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Method of images and the zero potential of the conductor

I was reading the method of images in Griffiths' electrodynamics book. He uses the classic image problem to explain the significance of the uniqueness theorem suppose a point charge $q$ is held a ...
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Series Solution of Laplace Equation in Spherical Coordinates

I was recently Studying Griffiths Electrodynamics after a long time and there I saw the Laplace equation. Because it was my second time going over Griffiths so I thought maybe I should try to derive ...
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Time evolution of scalar potential using Huygens principle

Huygens principle states that every point in space acts as a source of spherical waves. The amplitude for potential (scalar and vector) will be given by $V(r,t)=f(t-r/c)/r,$ where $f$ is a function ...
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The electrostatic potential due to a pair of oppositely charged infinite thin conducting plates

The electric field in region A and C (outside the pair of sheets) is 0. The electric field in region B (between the plates) is given by: $$E = \frac{\sigma}{\varepsilon}.$$ The distance between the ...
Aaditya Jain's user avatar
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Electric field due to plane at constant potential and a cylinder with no flux on surface

There is a plate at a constant potential V and potential equal to zero far away. the problem is two-dimensional. For this case, the electric field lines will simply be straight lines. Now let there be ...
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Potential attained by a sphere under illumination

A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200 nm wavelength light. As photoelectrons are ...
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Potential on concentric shells not making sense?

Suppose you have 2 concentric spherical shells, radius $A$ (inner) and $B$ (outer). Now suppose the inner shell has $+Q$ charge and the outer one has $-Q$ charge. Through integration, we get that the ...
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Is work done by a charged particle not gauge invariant?

Work done by a charged point particle with charge $q$ in an external electric field derived from a scalar potential $\phi$ is given by $$W=q \phi.$$ Even if we add a magnetic field the definition ...
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What is the potential of a conductor between two eletrically-charged plates?

Let's say I have two plates. One is at +20V, the other is at +10V, and they are separated a meter apart. I place an uncharged conductor that's 10cm wide into the gap between them, 20cm from the plate ...
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It's possible to have different potentials (boundary conditions) in the surface of a cylindrical conductor?

Edit I realized that my problem is not clearly stated. In general, I can solve the Laplace equation for boundary conditions $V(r,\phi, z=0) = f(r,\phi)$ (bottom of the cylinder), $V(r,\phi, z=L) = g(r,...
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Question about Fourier-coefficients in Griffith's Problem 3.15 (Electrodynamics) [closed]

I am having some trouble with problem 3.15 from Griffith's Electrodynamics. It states the following: A rectangular pipe, running parallel to the $z$-axis (from $-\infty$ to $+\infty$), has three ...
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Why does the stopping potential correspond to zero current?

My textbook has derived an equation for the stopping potential during the photoelectric experiment as follows: $$\frac{1}{2}mv_\text{max}^2=eV_0 \\ \implies V_0=\frac{mv^2_\text{max}}{2e}\implies V_0=\...
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Electric potential energy, Electric potential and self-energy of a body

The total work done to bring all the charges constituting a body from infinity to the body one by one is called the electrostatic potential energy of the body. And if I divide the expression of ...
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Gravitational potential due to arbitrary shape

Outside the uniform sphere, the potential is expressed as if all the masses are concentrated in the center of the sphere. Is it also true for arbitrary shape? That is, outside any body, is potential ...
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Can a positive charge have a negative potential?

I'm studying about electrostatic potential due to a point charge and was wondering - can a positively charged point have negative electrostatic potential? V=Kq/r for a positive point charge. Assume B ...
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Electrostatic potential expression

In my lecture(not regarding electrostatic, it was just for an example), the professor had made the statement below: I think he is denoting V as 'electrostatic potential energy' and $\phi$ as '...
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What does 0 volts mean for a Van de Graaf generator?

I am trying to understand how two different definitions of zero-voltage reconcile in the experimental setup of a Van de Graaf generator, or at least how I understand that it is being described. ...
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Uniqueness Theorem and boundaries conditions

I was recently studying Jackson Electrodynamics and faced some issues directly. I have studied Griffiths Electrodynamics and I knew about the uniqueness Theorem from it. But in Jackson, they proved it ...
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Does it make a difference whether potential difference is denoted as a negative or positive value in an answer, since it's just a scalar? [duplicate]

Does it make a difference whether potential difference is denoted as a negative or positive value in an answer, since it's just a scalar? Sorry if it's a dumb question, I was just a little unsure.
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Apparent contradiction while calculating potential inside shell due to off center charge

Consider the following scenerio$-$ A point charge $Q$ is placed at an off center point $B$ in a spherical shell made out of a conducting material. We are required to find the potential at the center. ...
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Reflection of quantum particle colliding with a potential barrier

Let a quantum particle be subject to a one dimensional step potential barrier $V$ such that: $$V(x)=\begin{cases}0, \ x<0 \\ V_0, \ x>0\end{cases}$$ where the particle's energy is $E>V_0>0$...
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Where does the four-vector potential $A^\mu$ originate?

Now the default answer to this may be, "It has no origin because it's a definition", but let me just try to justify my concern here. On page 842, equation (22.91) of "Modern ...
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How do we write the potential difference between the final and initial points?

If you want to find the potential difference between point A and point B, the potential difference is written: $$ V_{ab}= V_{a} - V_{b} $$ or $$ V_{ab}= V_{b} - V_{a} $$ AND is work the same thing? I ...
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When should we use $\sigma/\epsilon$ and $\sigma/2\epsilon$? [closed]

I was doing a question, in this i have to find distance between proton and plate.. so i use work energy theorm ie change in ke is net work done.. so as for electric field i use gauss law and taken ...
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Confusion about reference point for potential difference

My confusion comes from trying to find the potential difference of a spherical conductor with an inner shell of radius $R_1$ and an outer radius $R_2$. I tried using a reference point of $R_1$ and ...
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Insertion of dielectric inside capacitor when capacitor is connected to a battery

When a capacitor is connected to an external voltage and a dielectric is inserted slowly across the plates, the energy of the capacitor increases. The energy preciously is $CV^2/2$ and after the ...
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Potential of a conductor when the charge distribution is uneven due to induction

If a negatively charged object is brought near a neutral conductor, there would be an excess of positive charges on the side of the conductor near the charged object, while there would be an excess of ...
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Charge transferred from Sphere and Disc after being brought into contact

Recently I came upon the following question $-$ A conducting sphere of radius $R = 1 m$ is charged to a potential $V = 1000$ volts. A thin metal disc of radius $r = 1 cm$ mounted on an insulating ...
Eisenstein's user avatar
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Mirror image Electric field and potential

pg My book says the electric field due to a positive point charge at a certain distance from the surface of flat, infinite earthed conductor can be obtained by introducing a virtual negative mirror ...
Manvendra Singh Gehlot's user avatar
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3 answers
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Electric Potential in circuit confusion

I reviewed some of the fundamental physics and I looked back at the equation for Electric potential at a point p: $$V(p) = k \sum_{i} {\frac {q_i} {r_i}}$$ where p is the point at which the potential ...
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Equipotential surfaces

Why two equipotential surfaces cannot intersect What is the logic and reason behind it?I know that two electric field lines cannot intersect but what about equipotential surfaces?
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Electrostatics: Electric Potential of Earth [duplicate]

I have a very basic question which is: Why we consider the potential of Earth to be zero? Generally in physics we consider the electric potential at infinity to be zero. But while reading about ...
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1 answer
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What does this formula of Electric potential generated by spherical symmetric charge density mean?

I found this formula (14.5) in the book Classical Electromagnetism in a Nutshell by Anupam Garg, $$\phi(r) = \frac{1}{r} \int_0^r 4\pi r^2\rho(r)\;dr+\int_r^{\infty}4 \pi r\rho(r)\;dr.$$ I know it's ...
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1 answer
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Derivation and theory for $I = kV^n$ [closed]

I performed an experiment in college to study the nature of a filament of a lamp, determine $k$ and $n$ in the relation mentioned, and study the variation of wattage of a lamp. I assume ohm's law is ...
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Potential difference between two non-grounded equipotential plate

I am attempting to solve for the potential difference between two non-grounded equipotential plates using Poisson's PDE. The relevant Maxwell equation considered is $∇⋅E=\rho$, where $E$ represents ...
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Equation of a equipotential surface

I have been trying to find a equation for the equipotential surface of a dipole , so I started with a simpler system of a singular charged particle , here are few things I know about the equipotential ...
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How to transform the volume integral of a curl of the product of a potential with a magnetic field into a surface integral?

Problem 6.5 of Jackson electrodynamics says: A localized electric charge distribution produces an electrostatic field, $\vec{E} = - \vec{\nabla}\Phi$. Into this field is placed a small localized time-...
Ron Stean's user avatar
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Why does the capacitance of a capacitor depend on charge and potential?

The formula of capacitance is $$C = \frac{Q}{V}.$$ So the capacitance of a capacitor should depend on the charge and potential but it doesn't. Why?
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Will the potential on surface of a irregular conducting sphere surface be constant?

We know that potential on surface due to a regular conducting sphere is constant. But what will it be when the surface is irregular and charge distribution is non-uniform?
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What are exactly the loop correction to the potential? [duplicate]

I am struggling with the concept of quantum effective action, but first recall the definition : given a Wilsonian effective action $W[J]$ of our theory, the quantum effective action is just $$\Gamma[\...
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1 answer
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I'm trying to figure out how to go from the electric potential of a uniformly charged semi-circle, to the electric field

The question asks "A thin plastic semi ring of radius $R$ has a uniform linear positive charge density $\lambda$. a) Determine the electric potential $V$ at point O, the center of the semi ring. ...
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Converting a gravitation potential from spherical to Cartesian and adding arbitrary tilt

I am working on utilising different potentials in my N-body code to do toy simulations (massless particles in a potential. However, I ran into issues converting a certain potential from a paper into ...
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