A regular hexagon of side 10 cm has a charge 1 at each of its vertices. The potential at the centre of hexagon is [(1)/(4πε₀) = 9 × 10⁹ SI unit ] (a) 1.8 × 10⁵ volt (b) 3.6 × 10⁵ volt (c) 5.4 × 10⁵ volt (d) 7.2 × 10⁵ volt

Answer: (c). Each vertex is one side length from the centre: r = 0.1 m. V = 6 × 9 × 10⁹ × 10⁻⁶0.1 = 6 × 9 × 10⁴ V = 5.4 × 10⁵ V So the answer is (c).

A regular hexagon of side 10 cm has a charge 1 at each of its… | MHT CET 2024 (3 May, Shift 2)

Q38MHT CET 2024 · 3 MAY · SHIFT 2Easy

Electric Potential & Equipotentials

A regular hexagon of side 10 cm has a charge $1\,\mu\text{C}$ at each of its vertices. The potential at the centre of hexagon is $\Bigg[\frac{1}{4\pi\varepsilon_0} = 9 \times 10^{9}$ SI unit $\Bigg]$

Show answer and solution

Answer: (c)

Each vertex is one side length from the centre: $r = 0.1\text{ m}$ .
$V = 6 \times \frac{9 \times 10^{9} \times 10^{-6}}{0.1} = 6 \times 9 \times 10^{4}$
$V = 5.4 \times 10^{5}\text{ V}$
So the answer is (c).

Report a mistake

Electric Potential & Equipotentials question from MHT CET 2024 (3 May, Shift 2)

More questions on Electric Potential & Equipotentials