2c. Take Home Quiz 82 Begin Date: 2/7/2018 12:01:00 AM-Due Date: 2/12/2018 11-59

Question

2c. Take Home Quiz 82 Begin Date: 2/7/2018 12:01:00 AM-Due Date: 2/12/2018 11-5900 PM End Date: 2/17/2018 120000 AM (100%) Problem 1: Armgofradius R-10lies m the y'z plane and is centered t the origin The ring carries a uniform charge -44C. A point Pis located along the x-axis a distance x-43tom the ongin. 2-axis R x, ..25% Part (a) write an equation for the ele tre potential a pont p due to the charge on the ng Give your answer,tems of and the Coulomb constant, Potential Amempes remaining per amesp detailed vi Feedback deducios per feedback. 25% Part (b) Calculate the electnc potential, in volts, at the post P 25% Part (c) Using your equaton for the electme potential as f nction ofz deme an equation or the electic field along the post re axis. Give your annvern terms of the variables ? R. x. and th, costut , 25% Part (d) Calculate the magunde of thr electric field at the pour p n units ofmeganentes per coulomb aIN C)

Explanation / Answer

(A) every point on ring is at same distance from point P.

VP = k Q / sqrt(x^2 + R^2)

(B) Vp = (9 x 10^9)(44 x 10^-6) / sqrt(0.048^2 + 0.10^2)

Vp = 3.57 x 10^6 Volt  

(C) E = - dV/dx

E = k Q (2 x / 2) / (x^2 + R^2)^(3/2)

E = k Q x / (x^2 + R^2)^(3/2)

(D) putting values,

E = 13.9 x 10^6 N/C or 13.9 MN/C

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