A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z-axis, and the cylinder is centered at the origin, as shown in (Figure 1). What is the potential V0 in the limit as h goes to zero? Express your answer in terms of q, r, and ϵ0.

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A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z-axis, and the cylinder is centered at the origin, as shown in (Figure 1).

What is the potential V0 in the limit as h goes to zero?

Express your answer in terms of q, r, and ϵ0.
 
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