A regular hexagonal of side 10cm has a charge 5cm at each of its vert

1.	A regular hexagonal of side 10cm has a charge 5cm at each of its vertices. Calculate the potential at the centre of the hexagon.
Answer» From the figure, we have OP = OQ = OR = OS = OT = OU = r = 10 cm = 0.1m And given q = 5µC = 5 × 10^-6 C ∴ Potential at O due to all the charges \(v=6\times \frac{1}{4\pi \varepsilon_0}\frac{q}{r}\) = \(\frac{6\times 9\times10^9\times5\times10^{-6}}{0.1}\) = 2.7 x 10⁶ volt

A regular hexagonal of side 10cm has a charge 5cm at each of its vertices. Calculate the potential at the centre of the hexagon.

Answer»

From the figure, we have

OP = OQ = OR = OS = OT = OU

= r = 10 cm = 0.1m

And given q = 5µC = 5 × 10^-6 C

∴ Potential at O due to all the charges

\(v=6\times \frac{1}{4\pi \varepsilon_0}\frac{q}{r}\) = \(\frac{6\times 9\times10^9\times5\times10^{-6}}{0.1}\)

= 2.7 x 10⁶ volt