?(a) Using Eq. 24-32, show that the electric potential at a point on the central axis of

Chapter 24, Problem 99

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(a) Using Eq. 24-32, show that the electric potential at a point on the central axis of a thin ring (of charge q and radius R) and at distance z from the ring is

\(V=\frac{1}{4 \pi \varepsilon_{0}} \frac{q}{\sqrt{z^{2}+R^{2}}}\)

(b) From this result, derive an expression for the electric field magnitude E at points on the ring’s axis; compare your result with the calculation of E in Module 22-4.

Text Transcription:

V=1/4 pi varepsilon_0 q/sqrt z^2+R^2

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