- #1
johne1618
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Imagine that an electron is traveling with velocity +v inside a uniform sphere of charge at potential +V.
In the rest frame of the electron the charged sphere has velocity -v.
Thus in the rest frame of the electron, inside the charged sphere, there is a vector potential A given by
A = - V/c^2 v.
Now imagine that one applies a force to accelerate the electron to dv/dt.
In the electron's instantaneous rest frame there will be an induced electric field E given by
E = - dA / dt
E = V/c^2 dv/dt
The electron will feel an induced retarding force given by
F = -e E
F = -eV/c^2 dv/dt
Thus the charged sphere induces a kind of electromagnetic inertia on the electron.
Is this reasoning correct?
In the rest frame of the electron the charged sphere has velocity -v.
Thus in the rest frame of the electron, inside the charged sphere, there is a vector potential A given by
A = - V/c^2 v.
Now imagine that one applies a force to accelerate the electron to dv/dt.
In the electron's instantaneous rest frame there will be an induced electric field E given by
E = - dA / dt
E = V/c^2 dv/dt
The electron will feel an induced retarding force given by
F = -e E
F = -eV/c^2 dv/dt
Thus the charged sphere induces a kind of electromagnetic inertia on the electron.
Is this reasoning correct?