Find a formula for the electrostatic potential V(z) everywhere along the symmetr

Question

Find a formula for the electrostatic potential V(z) everywhere along the symmetry-axis of a charged ring (radius a, centered on the z-axis, with uniform linear charge density lambda around the ring) Please use the method of direct integration (Griffiths 2.30, on p. 85) to do this, and set your reference point to be V(infinity)=0. - Sketch V(z). - How docs V(z) behave as z rightarrow infinity ? (Don't just say it goes to 0. HOW does it go to zero? Docs your answer make physical sense to you? Briefly, explain.) Use your result from part a for V(0,0,z) to find the z-component of the E field anywhere along the z-axis. - What is the Voltage at the origin? - What is the E field right at the origin? - Do both of these results (for V, and E, at the origin) make physical sense to you, and are they consistent with each other? Explain briefly!

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