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5 votes
2 answers
3k views

Deriving the Lorentz force from velocity dependent potential

We can achieve a simplified version of the Lorentz force by $$F=q\bigg[-\nabla(\phi-\mathbf{A}\cdot\mathbf{v})-\frac{d\mathbf{A}}{dt}\bigg],$$ where $\mathbf{A}$ is the magnetic vector potential and ...
Valentina's user avatar
  • 539
10 votes
1 answer
2k views

Is there any potential associated with magnetism?

Can anybody please tell me if magnetism is a conservative force or if there is a field associated with it? How to reason? One thing I know is that the work done by a magnetic force is equal to $0$.
Amogh's user avatar
  • 103
0 votes
2 answers
665 views

Derivation of Lagrangian of electromagnetic field from Lorentz force

I was trying to derive Lagrangian for the electromagnetic field from Lorentz's force formula $$\mathbf{F}= q(\mathbf{E} + \mathbf{v}\times \mathbf{B})$$ I have to find the potential by using the line ...
Prab's user avatar
  • 59
0 votes
1 answer
230 views

Deriving Konopinski's Operational Definitions of Scalar and Vector Potential

In "What the electromagnetic vector potential describes", E. J. Konopinski asserts: Operational definitions of $\phi$, $\mathbf{A}$ should now be expected to stem from the equation of ...
James Bowery's user avatar
  • 1,357