n Date: 1/26/2018 12:01:00 AM-Due Date: 1/29/2018 11:59:00 PM End Date: 2/1/2018
ID: 3307821 • Letter: N
Question
n Date: 1/26/2018 12:01:00 AM-Due Date: 1/29/2018 11:59:00 PM End Date: 2/1/2018 11:59:00 PM (9%) Problem 2: A thin circular ring of radius R s uniformly charged with a total positive charge O. The ring lies at x-0 in the y-z-plane. Point P is on the r-axis a distance d from the origin. Let Coulomb's constant be ke 20% Part (a) Find the y-component of the electric field, Ey, at point P. Potential 100% sin0 0% per attempt) detailed view Feedback:-deduction per feedback. dE of the electric field at point P, c 20% Part (b) write an equation for the magn 20% Part (c) write an equation f 20% Part (d) write an expression for the x-component E, of the electnc field of the ring at point P 20% Part (e) Find an expression for the x-component E, of the electric field at a large for the x-component, dE, of the electric field dE at point P. e d from the rod (d>> R)Explanation / Answer
(A) Ring is symmetric about x axis.
hence y - component of field will be zero.
Ey = 0
(B) dE = ke dq / (d^2 + R^2)
(C) dEx = dE cos(theta)
= dE ( d / sqrt(d^2 + R^2))
= ke d dq / (d^2 + R^2)^(3/2)
(D) integrating, Ex = (ke d / (d^2 + R^2)^(3/2)) integral of dq
= ke Q d / (d^2 + R^2)^(3/2)
(E) if R < < d
then 1 + (R/d)^2 = 1
Ex = (ke Q d ) / d^3 (1 + (R/d)^2)^(3/2)
Ex = ke Q / d^2
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