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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 the figure.

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What is the electric potential V at the origin?

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{2 r}{h}-\sqrt{1+\frac{4 r^{2}}{h^{2}}}\right) $$

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{h}{2 r}-\sqrt{1+\frac{h^{2}}{4 r^{2}}}\right) $$

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{2 r}{h}+\sqrt{1+\frac{4 r^{2}}{h^{2}}}\right) $$

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{h}{2 r}+\sqrt{1+\frac{h^{2}}{4 r^{2}}}\right) $$

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Answer #3

The correct answer is

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{h}{2 r}+\sqrt{1+\frac{h^{2}}{4 r^{2}}}\right) $$

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Answer #4

The correct answer is

$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{h}{2 r}+\sqrt{1+\frac{h^{2}}{4 r^{2}}}\right) $$

answered by: Bearix
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