Problem 22.41 A flat ring inner radius Ro, outer radius 4Ro)is uniform charged.

Question

Problem 22.41 A flat ring inner radius Ro, outer radius 4Ro)is uniform charged. Part A In terms of the total charge 2. determine the electric field on the axis at point 0.25Ro from the center of the ring. [Hint: The ring can be replaced with two oppositely charged superposed disks. Express your answer in terms of some or al of the variables 2, Ro, and appropriate constants Eo.25Ro Submit My Answers Give U incorrect, Try Again, 3 attempts remaining Part B Determine the electric field on the axis at point 75Ro from the center of the ring. Express your answer in terms of some or al of the variables Q, Ro, and appropriate constants 75.Ro (75R0) My Answers Give Up Correct Provide Feedback Continue

Explanation / Answer

We know that electric field of a uniformly charges ring is given by:

E = k Q x / ( x2 + R2 ) 3/2

Part A) In this case, x = 0.25 Ro and R = Ro, putting in the values we get:

E = k Q (0.25) / [ (0.25 Ro)2 + Ro2 ] 3/2 = k Q / 4 Ro3

Hence, E = k Q / 4 Ro3

b) In this case, x = 0.25 Ro and x >> Ro

So the expression becomes:

E = k Q Ro / (75 Ro)2

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