Psin kx is created in an Q.1) i) Suppose a small varying electric potential p initially...

Transcribed Image Text:

Pısin kx is created in an Q.1) i) Suppose a small varying electric potential p initially uniform neutral plasma (ep, « kgT.). Show that the electrons will come to equilibrium with ne(x) = no + neįsin kx where ne1/no = eq1/kgTe « 1. Using Poisson's equation, show that the ion density will be given by n;(x) = no + ni1 sin kx with (nị1 – ne1)/ ne1 = k² 23 . Explain this result. B (15) Pısin kx is created in an Q.1) i) Suppose a small varying electric potential p initially uniform neutral plasma (ep, « kgT.). Show that the electrons will come to equilibrium with ne(x) = no + neįsin kx where ne1/no = eq1/kgTe « 1. Using Poisson's equation, show that the ion density will be given by n;(x) = no + ni1 sin kx with (nị1 – ne1)/ ne1 = k² 23 . Explain this result. B (15)