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Question: a chargeneutral region of space contains stationary electrons having charge...

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A charge-neutral region of space contains stationary electrons (having charge q--e, mass me, and number density Ne 106 cm-3) and protons (having charge qte, mass mp, and number density Mp-M.). At time t-0, a static and uniform electric field E E0ź前is switched on, which immediately generates an associated Lorentz force on the charges a) Treating the charged particles as test charges (such that the Coulomb electric fields generated by the charges themselves can be neglected), what is the magnitude and direction (i.e., the unit vector) of the Lorentz acceleration experienced by a single proton and electron, respectively? b) For time t> 0, the electrons move under the influence of the Lorentz force with a velocity ve(t) while the protons move with a velocity vp(t). If E0 = 2 m, where would a single test proton and electron be located (in 3D space) after 1 second elapse, assuming both charged particles m i were located at the origin, ro (0, 0,0), at t 0? Express your answer in kilometers. c) The moving charges constitute a current. What is the total volumetric current density J (in units of carried by both the ions and electrons in the region at t 〉 0? Hint: Start by expressing the current density J in terms of the charge density ρ-oN m,

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