Poynting Vector: Calculating E For Charged Particles in +ve X-Direction

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The Poynting vector for a beam of charged particles moving in the positive x-direction can be expressed as S = E x H. While calculating the magnetic field H is straightforward, determining the electric field E requires understanding its relationship to the charged particles. The electric field generated by a continuous beam of charged particles resembles that of a charged wire, radiating radially outward. The Poynting vector is fundamentally a characteristic of the electromagnetic field rather than the particles themselves. Thus, the focus should be on the electromagnetic properties rather than the individual particles.
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what would be the poyinting vector of beam of charged particles moving in +ve x-direction.
S=ExH
calculating H is fine but how to calculate the E
 
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The poynting vector is a property of the electromagnetic field, it is not a property of particles.
If you have a continuous beam you get the same electric field as from a charged wire: radially outwards.
 
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