Question

A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin.

A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin. 

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(a) Derive a formula for the (z-directed) electric field E(z) at any point on the +z-axis, and graph this for-∞ < z < ∞ (indicate direction as ±; note E(-z) =-E(z). 

(b) At what value of z is E(z) maximal, and what is this maximum? 

(c) Sketch the field lines-note the bottleneck!

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