Current Electricity Charging Discharging Of Capacitors Question 694

Question: An electron beam has an aperture $ 1.0mm^{2}. $ A total of $ 6\times 10^{6} $ electrons go through any perpendicular cross section per second. Find the current density in the beam. (in $ A/m^{2} $ )

Options:

A) $ 9.1\times 10^{13} $

B) $ 9.6\times 10^{3} $

C) $ 6.6\times 10^{5} $

D) $ 8.6\times 10^{11} $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ J=I/A=Q/tA={}^{ne}/{} _{tA} $

$ =9.6\times 10^{3}A/m^{2} $