Five positive charges each having charge q are placed at the vertices of a regular pentagon as shown in the fi…

Question

Five positive charges each having charge $$q$$ are placed at the vertices of a regular pentagon as shown in the figure. The electric potential $$V$$ and the electric field $$\vec{E}$$ at the center $$O$$ of the pentagon due to these five positive charges are

Accepted Answer

D. $$V = \dfrac{5q}{4\pi\varepsilon_0 r}$$ and $$\vec{E} = 0$$

Answer

A. $$V = \dfrac{5q}{4\pi\varepsilon_0 r}$$ and $$\vec{E} = \dfrac{5\sqrt{3}q}{8\pi\varepsilon_0 r^2}\,\hat{r}$$

Answer

B. $$V = 0$$ and $$\vec{E} = 0$$

Answer

C. $$V = \dfrac{5q}{4\pi\varepsilon_0 r}$$ and $$\vec{E} = \dfrac{5q}{4\pi\varepsilon_0 r^2}\,\hat{r}$$

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