Consider a charged ring with radius R and uniform line charge density +λ.

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Question

Consider a charged ring with radius R and uniform line charge density +λ.

(a) Find the electric field at the center O of the ring.

(b) What is the electric field at a field point P which is on the central axis with a distance z above the center?

(c) Show that in the limit when z » R, the electric field reduces to the form

Does this result physically make sense? Explain.

(d) Using binomial approximation, , find the electric field at points along the central axis but with z « R.

(e) Suppose we now place a negative charge –q on a point on the central axis that is very close to O, but not exactly at O. What will happen to the charge -q after we release it from rest?

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Consider a charged ring with radius R and uniform line charge density +λ.

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