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(20%) Problem 3: A point charge P is b-5.5 m above the center of a uniformly Z-a

ID: 1580038 • Letter: #

Question

(20%) Problem 3: A point charge P is b-5.5 m above the center of a uniformly Z-axis charged ring of radius a Randomized Variables b-5.5 m Q=8.5 pC a 52 m sitting in the xy plane with charge Q :Spc. (0.0,b) a- 0.52 m (a,0,0) Otheexpertta.co 33% Part (a) Calculate the z component of the electric field at P in newtons per coulomb Grade Suamary Deductions Potential1009 Submissions Attempts remaining (40t per attempt) sino cosO cotanO asin acos atan acotanO sinh0 cosh tanh cotanho detailed view Degrees o Radians Submit Hin Feedback: Hints: 33% Part (b) Calculate the x and y components of the electric field at P in net tons per coulomb. 33% Part (c) Assume b is very large. Now if b doubles, what happens to the magnitude of the Electne Field? Al COmGE2018 Expen TA, LLC

Explanation / Answer

(a) Ez = (k Q b) / (a^2 + b^2)^(3/2)

Ez = (9 x 10^9 x 8.5 x 10^-6 x 5.5)/ sqrt(5.5^2 + 0.52^2)^(3/2)

Ez = 2495 N/C

(B) from Symmetry,

Ex = Ey = 0

(C) when b is large then,

E = k Q / b^2

if b doubles then E will 1/4 times of initial values.

(E decreases by 4 times)