- #1
azizlwl
- 1,066
- 10
problem statement, all variables and given/known data
A finite sheet of charge, of density ρ=2x(x2+y2+4)^3/2, lies in the z=0 plane for 0≤x≤2m and 0≤y≤2m.Determine E at (0,0,2)m
Ans:(18x10^9)(-16/3ax-4ay+8az)
E=kQ/R2
dE=ρdA / R^2 aR
dA=dxdy[/B]
E=k∫∫ 2x(x2+y2+4)^3/2 dy dx (-xax-yay+2az ) /x2+y2+4)^3/2
E=k∫∫ 2x dy dx (-xax-yay+2az)
E=(18x10^9)(-4ax-4ay+8az)
How x and y component of E are different in the answer?
A finite sheet of charge, of density ρ=2x(x2+y2+4)^3/2, lies in the z=0 plane for 0≤x≤2m and 0≤y≤2m.Determine E at (0,0,2)m
Ans:(18x10^9)(-16/3ax-4ay+8az)
Homework Equations
E=kQ/R2
The Attempt at a Solution
dE=ρdA / R^2 aR
dA=dxdy[/B]
E=k∫∫ 2x(x2+y2+4)^3/2 dy dx (-xax-yay+2az ) /x2+y2+4)^3/2
E=k∫∫ 2x dy dx (-xax-yay+2az)
E=(18x10^9)(-4ax-4ay+8az)
How x and y component of E are different in the answer?