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**very slowly**?Specifically,what is wrong if the test charge moves at a speed which is a significant proper fraction of speed of light?

- Thread starter Kolahal Bhattacharya
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From my little understanding... (warning: which could be wrong )very slowly?Specifically,what is wrong if the test charge moves at a speed which is a significant proper fraction of speed of light?

When you move a charge you create current, which creates a magnetic field, which creates an electric field. The calculation becomes messy. Plus, electrostatics doesn't worry itself with time-varying fields. Also moving a significant fraction of the speed of light then brings in relativistic effects.

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In electrostatics,we neglect magnetic effects and time varying effects.Now,a single moving charge,even running at a constant speed,results in a non-steady current,and that in turn,will result in a time-varying magnetic field.This,again,will induce a time varying electric field.

Now,if the speed is very small,we will have a slight fluctuation and if the speed is high,the magnitude of current,and hence,the resulting E and B fields will be big.So,electrostatics will make a mess with big fluctuations in fields and magnetic effects.

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Yes!Of course.

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