Question

A hexagon of side $8 \,cm$ has a charge $4\,\mu\,C$ at each of its vertices. The potential at the centre of the hexagon is

• A. $2.7 \times 10^6\,V$
• B. $7.2 \times 10^{11}\, V$
• C. $2.5 \times 10^{12}\, V$
• D. $3.4 \times 10^4 \, V$

Answer 1

Answer: (A)

$2.7 \times 10^6\,V$

Answer 2

As shown in the figure, O is the centre of hexagon ABCDEF of each side 8 cm. As it is a regular hexagon OAB, OBC, etc are equilateral triangles. ? OA = OB = OC = OD = OE = OF = 8 cm $\quad\quad$ $\quad\quad\quad$= 8 ? 10 m The potential at O is $V=6\times\frac{q}{4\pi\varepsilon_{0}r}$ $\quad=\frac{6\times9\times10^{9}\times4\times10^{-6}}{8\times10^{-2}}=2.7\times10^{6} V$