PhysicsJEE Main 22 Jan 2026, Shift 2·Q17·MCQ·Easy–moderate

Electric Potential and Capacitance · Potential

Five positive charges each having charge

q

are placed at the vertices of a 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 :

(1) $V = \dfrac{5q}{4\pi\varepsilon_0 r}$ and $\vec E = 0$
(2) $V = \dfrac{5q}{4\pi\varepsilon_0 r}$ and $\vec E = \dfrac{5\sqrt3\,q}{8\pi\varepsilon_0 r^2}\hat r$
(3) $V = \dfrac{5q}{4\pi\varepsilon_0 r}$ and $\vec E = \dfrac{5q}{4\pi\varepsilon_0 r^2}\hat r$
(4) $V = 0$ and $\vec E = 0$

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