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1 vote
0 answers
60 views

What happens to the potential energy of an electric circuit during a voltage drop?

Is it accurate to say $$ W=\int{Fdx}=\int{EQdx}=\int{\frac{dV}{dx}Qdx}=QV$$ so voltage is like g*h it is a potential field and charge is like mass. We know that the energy flux(vector) is given by the ...
ChemEng's user avatar
  • 861
35 votes
5 answers
6k views

Why don't we define potential due to a magnetic field?

We define electric potential and gravitational potential and use them quite often to solve problems and explain stuff. But I have never encountered magnetic potential, neither during my study (I am a ...
user avatar
2 votes
1 answer
235 views

How to find convergence of conditionally convergent series obtained while calculating the electrostatic potential energy of a NaCl crystal?

I was reading Electricity and Magnetism by E M Purcell and there in the first chapter there is an attempt to estimate the electrostatic potential energy of the crystal lattice of a NaCl crystal. ...
Abhinav Dhawan's user avatar
0 votes
1 answer
633 views

Electric Potential Outside of Two Infinite Sheets of Opposite charge density

If you have two infinite sheets of equal but opposite charge density, the electric field outside the sheets will be zero due to cancellation. This led me to initially think that the potential would ...
Marcel Mazur's user avatar
1 vote
2 answers
749 views

Velocity-dependent potentials and the dissipation function

From this previous question Charge, velocity-dependent potentials and Lagrangian where the citation is shown at the page 22, §1.5 of the book Classical Mechanics of Goldstein, we read that "an ...
Sebastiano's user avatar
  • 2,547
2 votes
1 answer
1k views

Two Opposite Point Charges: Infinite Potential Energy?

If I had a fixed point-charge ($q_1$, +) and I placed another free-moving charge ($q_2$, -) some distance away, what is the potential energy between them? The opposite charges attract drawing $q_2$ ...
Jon's user avatar
  • 21
8 votes
3 answers
3k views

If magnetic force can't do any work, then how can we define a potential?

I am confused about the idea that magnetic forces do no work. If something has a potential, then it has energy and hence can do work. I am using the logic of electric fields for this reasoning. I have ...
timetraveler 11's user avatar
1 vote
1 answer
456 views

Potential Drop across Inductor VS Potential drop across Rotating coils in $B$-Field

I was trying to understand the difference between the Back emf generated across Inductor due to change in current and Back Emf Generated across a coil that is rotating in presence of B Field. ...
VKJ's user avatar
  • 273
1 vote
2 answers
59 views

Regarding the definition of the electrical potential energy

Let us say we have two charge positive $q_{1}$ and $q_{2}$ very far away from each other. Suppose also that $q_{1}$ is stuck in its place. If we want to bring them closer to some distance $b$ apart, ...
Hilbert's user avatar
  • 1,292
5 votes
1 answer
1k views

Can someone explain how magnetic potential energy can exist even though the field is non-conservative?

$U=-B\cdot \mu$ is defined to be the magnetic potential energy, I saw this in my lecture notes, but we had already talked about the fact that since the work done to move a charge there is path ...
Vishal Jain's user avatar
  • 1,525
6 votes
1 answer
480 views

Does this example contradict Earnshaw's theorem in one dimension?

This is basically a continuation of the post here. Consider electrostatics in $1$-dimension (say, the $x$-axis). Now consider a positive charge $+q$ located at $x=0$, and two equal negative charges $...
SRS's user avatar
  • 26.8k
1 vote
1 answer
53 views

Optical trapping: factor 1/2 in definition of gradient force and potential energy?

If one consider the original deduction of the gradient forces that is applied to the trapped particle we can find the following: $$F_{grad}=\frac{1}{4} \alpha \nabla E_0^2(r),$$ where $E_0(r)$ is an ...
seva011's user avatar
  • 169
0 votes
2 answers
233 views

Potential energy of a charge in a magnetic quadrupole field

I have a charged particle of charge $q$ that moves with velocity $\vec{V}$ from a position $\vec{r}$, inside a magnetic quadrupole field of the form: $$\vec{B}=B_{0}(x,y, -2z)$$ The Lorentz force acts ...
Amir K's user avatar
  • 103
0 votes
1 answer
174 views

Motion of an electron near a proton [closed]

Statement of the problem: Consider an electron and a proton that are initially at rest separated $a$ meters. Do not take into account the movement of the proton, because its mass is much greater ...
evaristegd's user avatar
0 votes
0 answers
143 views

How understand the stored energy due to magnetic field? [duplicate]

I'm confusing because in this book1 introduces the magnetic energy as mechanical work done by forced magnetic, but if magnetic force doesn't work, besides do who done work? Teruo Matsushita - ...
PCat27's user avatar
  • 161

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