Calculate the volume charge density pv0 inside electron beam

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Reference no: EM13250249

An electron beam coming from an electron gun consists of electrons that are uniformly distributed within a cylindrical region of space having a radius a = 1 [mm]. The axis of the cylinder is along the z axis, and the electrons are moving with a velocity vector v in the positive z direction. The velocity of the electrons is 0.1c where c is the speed of light (2.99792458 ´ 108 [m/s]). The magnitude of the current in the beam is 1 Amp.

a) Calculate the current density vector

b) Calculate the volume charge density Pv0 inside the electron beam.

c) Calculate the spacing between the electrons, assuming that they are arranged on a rectangular cubical lattice, with spacing between adjacent electrons in the x, y, and z directions.

Reference no: EM13250249

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