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Eight identical point charges each charge q are placed at eight corners of cube of side ‘ $l$ ’. Then potential at centre of cube is

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$\frac{1}{4 π ε_{0}} \frac{16 q}{\sqrt{3} l}$

$\frac{1}{2 π ε_{0}} \frac{16 q}{\sqrt{3} l}$

Zero

$\frac{1}{4 π ε_{0}} \frac{8 q}{\sqrt{3} l}$

answer is D.

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Detailed Solution

From corner to centre distance $= \frac{\sqrt{3}}{2} L$ and ‘8’ corner are having same charge.

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