- #1
Jarfi
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I am trying to understanding magnetism and I've been running into this thought problem
A particle a in a magnetic field B responds with Force F=|q|v x B.
frame S:
The field is B1, caused by a moving charge/s - current at speed v.
the particle is at rest, F=0.
frame S' moves with speed v/2 relative to frame S:
The field is B2=B1/2, and the current here moves at speed v/2 from our new frame of reference.
now, a moves at speed -v/2 relative to S', so the force would be F=-qv/2 x B2.
And so the particle should accelerate towards the current(or away). Frames S and S' disagree with the acceleration of particle a.
A particle a in a magnetic field B responds with Force F=|q|v x B.
frame S:
The field is B1, caused by a moving charge/s - current at speed v.
the particle is at rest, F=0.
frame S' moves with speed v/2 relative to frame S:
The field is B2=B1/2, and the current here moves at speed v/2 from our new frame of reference.
now, a moves at speed -v/2 relative to S', so the force would be F=-qv/2 x B2.
And so the particle should accelerate towards the current(or away). Frames S and S' disagree with the acceleration of particle a.
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