- A Ring with center in (0,0) and R radius.
- The charge distribution from the ring is: ψ(θ) = ψo*Sin(θ), where θ is the angle from the x axis (counterclowise).
Negative values of the sine determine negative charge, and 0 no charge at all.
- What is the field (E) created from this distribution (only x and y components)?
- If there we introduce a constant eletric field, F, in the positive direction of the y axis. How can i find the
equipotentials lines from the sum of the fields?
The Attempt at a Solution
I tried to find the dEx and dEx as a function of dθ, so i could integrate from 0 to 2*π and get the field vector as function of x and y.
- dEx = K*ψ(θ)*[x-R*Cos(θ)]*dθ/[ (y-R*Sin(θ))2+(x-R*Cos(θ))2 ]3/2
- dEy = K*ψ(θ)*[y-R*Sin(θ)]*dθ/[ (y-R*Sin(θ))2+(x-R*Cos(θ))2 ]3/2
- where K = 1/(4*π*εo) or about 9*10^9 N*m2*C-2
I can add a picture later, i can't now.