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What is magnetic field?
Electron moves with velocity v=1m/s from left to right in perpendicular magnetic field B=1Tesla.
The force actin on the electron is
F = e v x B = 1.6e-19 N
Acceleratrion of the electron is
a = F/m = 0.18 e12 m/s²
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So far so good. Now lets consider the problem in the frame of reference moving with velocity 1m/s from left to right. Electron in this frame of reference is at rest, and magnetic force acting on the electron is zero. Consequently acceleration of the electron is zero. All inertial frames of reference must be equal, right?
Hint:
there are no magnetic fields, physicsts commonly use specific term for such fields and for a good reason
3 Answers
- 1 decade agoFavorite Answer
Did someone give you something over in the Y!A elections section?
This video will give you the answer: http://youtube.com/watch?v=fxC-AEC0ROk
When you watch, just remember that you the "inertial observer" will act like the aluminum block outside the field, and the charge will act like the block inside the field.
[The electron will happily go and make its little circles around the magnetic field line and the inertial observer will perceive a change in the magnetic flux based on his motion through the field.]
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Ok, I was flippant. But the video is an excellent example of Lenz's law, which in a slightly round about way applies here. (moving through a magnetic field induces a current which opposes the motion).
Your right (of course), it is actually an electromagnetic field, not a magnetic field. The inertial observer (and the electron) will perceive an electric field causing the acceleration. You can integrate all together with special relativity -- but I forgot how some time last century!
- El JefeLv 71 decade ago
Um, no. The electron is undergoing acceleration, so the speed is not constant. At some point in time, the electron is moving slower than your frame of reference, at another time it has matched velocity, and further on it is moving faster.
Your assumptions about the velocity are correct for only one instant, a snapshot in time. And just because velocity is zero at time=t, doesn't mean velocity is zero at t-x or t+x.
- Anonymous1 decade ago
Why is the magnetic force zero, just because you changed the frame of reference?
Edit:
What's the word?
Imaginary?