Infinite sheet carrying surface charge density ?= - 1 µC/m2 is in y-z plane. A p
ID: 1455738 • Letter: I
Question
Infinite sheet carrying surface charge density ?= - 1 µC/m2 is in y-z plane. A point charge q= +8? ?C is located on x-axis at point (1 ,0) one meter from the origin.
a) Find the forces acting on the charge q and on the charged plate.
b) Find a coordinate or coordinates on the x-axis for which the net electric field zeroes.
Infinite sheet carrying surface charge density =-1 C/m" is in y-z plane. A point charge q= +8m HC is located on x-axis at point (1,0) one meter from the origin. a) Find the forces acting on the charge q and on the charged plate. b) Find a coordinate or coordinates on the x-axis for which the net electric field zeroes 0Explanation / Answer
a) force = q*Electric field = q*p/Eo = 8*pi*10^-6*1*10^-6/(8.854*10^-12) = 2.838 N
b) let at a distance r from charge q , net electric field is zero
=> p/Eo = kq/r^2
=> r^2 = kqEo/p = 8.98*10^9*8*pi*10^-6*8.854*10^-12 /(1*10^-6) = 1.998
=> r = 1.44 m
=> coordinates are (-0.44 ,0 )