(a) Suppose a system contains many charges (more than several). Inorder to defin
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Question
(a) Suppose a system contains many charges (more than several). Inorder to define the elctric field at a position coordinates (x, y, z) do you need to know the locations of all charges in your system? (Yes, No) Explain why you think Yes or No Define the electric field at a position coordinates (x, y, z). This involves a small test particle with positive charge q. Why do you think the test charge must be small in size? (b) If a small particle with electric charge q-3.5 x 104 Coulombs is placed at the point with coordinates (-4.0m, 2.1m, 2.2m) where the x, y and z components of the electric field vector are -1 0.5 N/C Eys +10.5 N/C, Ez -8.0 N/C what is the force acting on the particle? ExExplanation / Answer
a)Yes
Location of all charges must be known in order to find net electric field. Because by Formula
E=kq/r2 , electric field E is depend on distance from the charge.
Also electric is a vector quantity hence electric fields of individual charges are added by taking their vector sum.
The test charge is taken in such a small quantity, so that its own electric field should not add up is net electric field of the rest charges.
b)
Fx=q*Ex = (-3.5*10^-4C)*(-10.5N/C) = 3.67*10^-3 N
Fy=q*Ey = (-3.5*10^-4C)*(10.5N/C) = -3.67*10^-3 N
Fz=q*Ez = (-3.5*10^-4C)*(-8.0N/C) = 2.8*10^-3 N
F = (Fx , Fy , Fz )= (3.67*10^-3 N, -3.67*10^-3 N, 2.8*10^-3 N)
|F| = sqrt(Fx2+ Fy2 + Fz2 )=sqrt[(3.67*10^-3)^2+(3.67*10^-3)^2+(2.8*10^-3)^2]
|F| = 5.9*10^-3 N
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