Potential midway between two charges of a square with charges +q, +q, -q, -q

1. A.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}\left(1+\frac{1}{\sqrt{5}}\right)$
2. B.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}\left(1-\frac{1}{\sqrt{5}}\right)$
3. C.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}(1-\sqrt{5})$
4. D.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}(1+\sqrt{5})$

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1. A.
   $\frac{1}{4\pi\varepsilon_{0}}\left( \frac{2q}{L} \right)\left\lbrack 1 + \frac{1}{\sqrt{5}} \right\rbrack$
2. B.
   $\frac{q}{\pi\varepsilon_{0}\text{ }L}\left\lbrack 1 - \frac{1}{\sqrt{5}} \right\rbrack$
3. C.
   $\frac{q}{\pi\varepsilon_{0}\text{ }L}\left\lbrack 1 + \frac{1}{\sqrt{5}} \right\rbrack$
4. D.
   $\ \frac{1}{4\pi\varepsilon_{0}}\left( \frac{2q}{L} \right)\left\lbrack 1 - \frac{1}{\sqrt{5}} \right\rbrack$

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1. A.
   $\dfrac{1}{4\pi\epsilon_0}\dfrac{2q}{r}\left[\dfrac{1}{\sqrt{5}} - 1\right]$
2. B.
   $\dfrac{1}{4\pi\epsilon_0}\dfrac{q}{r}\left[\dfrac{1}{\sqrt{5}} + 1\right]$
3. C.
   $\dfrac{1}{4\pi\epsilon_0}\dfrac{2q}{r}\left[1 - \sqrt{5}\right]$
4. D.
   $\dfrac{1}{4\pi\epsilon_0}\dfrac{q}{r}\left[1 + \sqrt{5}\right]$

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