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Will a static electron be influenced by a magnetic field.

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- Thread starter aditya ver.2.0
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- #1

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Will a static electron be influenced by a magnetic field.

- #2

jedishrfu

Mentor

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Do you mean a stationary electron relative to a static magnetic field like an ordinary magnet?

The force on the electron is: F = qv x B where q is the charge of the electron and v is its velocity and B is the magnetic field vector.

So ask yourself what is the force on the electron if it's not moving and that should answer your question.

- #3

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$$\frac{1}{c} \partial_t \vec{B}+\vec{\nabla} \times \vec{E}=0.$$

Then, of course the force on the electron is the full Lorentz force,

$$\vec{F}=q \left (\vec{E}+\frac{\vec{v}}{c} \times \vec{B} \right ).$$

So then it will be affected. You have to always look at both the electric and the magnetic field. In fact, electric and magnetic fields are just a split of the one and only electromagnetic field into components with respect to an arbitrary inertial reference frame.

NB: I always use Heaviside-Lorentz units, because they are the most natural ones for electromagnetism.

- #4

tech99

Gold Member

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May we say, therefore, that the electrons in a receiving antenna move only in response to the E-field of a passing wave?

$$\frac{1}{c} \partial_t \vec{B}+\vec{\nabla} \times \vec{E}=0.$$

Then, of course the force on the electron is the full Lorentz force,

$$\vec{F}=q \left (\vec{E}+\frac{\vec{v}}{c} \times \vec{B} \right ).$$

So then it will be affected. You have to always look at both the electric and the magnetic field. In fact, electric and magnetic fields are just a split of the one and only electromagnetic field into components with respect to an arbitrary inertial reference frame.

NB: I always use Heaviside-Lorentz units, because they are the most natural ones for electromagnetism.

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- #6

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$$\frac{1}{c} \partial_t \vec{B}+\vec{\nabla} \times \vec{E}=0.$$

What did you do with the charge? Doesn't it produce a field?

- #7

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