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:

  • A
    $V=\frac{5 q}{4 \pi \varepsilon_0 r}$ and $\vec{E}=0$
  • B
    $V=\frac{5 q}{4 \pi \varepsilon_0 r}$ and $\vec{E}=\frac{5 \sqrt{3} q}{8 \pi \varepsilon_0 r^2} \hat{r}$
  • C
    $V=\frac{5 q}{4 \pi \varepsilon_0 r}$ and $\vec{E}=\frac{5 q}{4 \pi \varepsilon_0 r^2} \hat{r}$
  • D
    $V=0$ and $\vec{E}=0$

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