# Time varying magnetic field and electron

I am a bit depressed, I have just finished my PhD as a physicist and cannot work out this simple question.

I am trying to find out what happens to a static electron in a time varying magnetic field.

This is my understanding:

There are two laws, the Lorentz's force, for moving charges, and the Faraday's Law for time varying magnetic fields.

The electron is not moving, therefore v=0, and Lorentz force = 0

From the Faraday's law, a time varying magnetic field creates a flow of electrons on a closed circuit. But I am not sure what happens to a lonely charge.

Any help and or corrections is appreciated.

Thanks.

phyzguy
If there is a time-varying magnetic field, then there is an electric field, so the Lorentz force is not zero.

I see. Thanks, I was in fact looking at an incomplete formula for the Lorentz formula, without the q E component.

I will try and workout what the E field looks like.

$$\nabla\times{E} = -\frac{\partial{B}}{\partial{t}}$$