Consider the screened coulomb potential of a point charge that arises e. g. inplasma physics: v(r) =kqexp(−r/λ)r, whereλis a constant called screening length. a) (2 pts) determinee(r) associated with potential. b) (2 pts) find the charge distributionrho(r) that produces this potential. (think carefully about what happens at the origin! )c) (2 pts) show by explicit integration overrho(r) that the charge represented by thisdistribution is zero. (if you don’t get zero, think again about what happens atr= 0).d) (2 pts) verify your result from part c) by using gauss’s law.

How does the space charge width change with forward and reverse bias? also, calculate the space charge width for a reverse bias of 4v on a silicon pn junction at t = 300k and doping concentrations of na = 5x1015cm-3 , nd = 5x 1016 cm-3 .

Did the proton move into a region of higher potential or lower potential? did the proton move into a region of higher potential or lower potential? because the proton is a negative charge and it accelerates as it travels, it must be moving from a region of higher potential to a region of lower potential.because the proton is a negative charge and it accelerates as it travels, it must be moving from a region of lower potential to a region of higher potential.because the proton is a positive charge and it slows down as it travels, it must be moving from a region of higher potential to a region of lower potential.because the proton is a positive charge and it slows down as it travels, it must be moving from a region of lower potential to a region of higher potential.request answerpart bwhat was the potential difference that stopped the proton? express your answer with the appropriate units.î”v î” v = nothingnothingrequest answerpart cwhat was the initial kinetic energy of the proton, in electron volts? express your answer in electron volts.ki k i = nothing ev request answerprovide feedback

Most short-period comets do not have randomly oriented orbits because