four field equations, for the case of a moving point charger,-
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(6)
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(7)
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where R is the radius vector connecting the moving charge with the point in question and is the angle between R and v.
For the field acting on the test electron , situated at the point , , we may substitute and , giving us,
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(8)
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and
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(9)
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substituting into the fifth fundamental equation of electromagnetic theory,
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(10)
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we obtain the force acting on the unit test electron .
[Note in the above equation that v, the velocity of the electron, is for our case .]
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(11)
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or
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(12)
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(13)
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Under the action of the component force we might at first sight expect the electron to aquire an acceleration in the X direction: Such condition, however, would not be in agreement with the principle of relativity, since from the