Student Login

Home›Chapters›Electrostatics PYQs›Electrostatic Potential Energy›Question 6

MHT CET 2026 (13 May, Shift 2) · Electrostatic Potential Energy

Electrostatic Potential Energy question from MHT CET 2026 (13 May, Shift 2)

Q6MHT CET 2026 · 13 MAY · SHIFT 2Medium

Electrostatic Potential Energy

Two charges of equal magnitude ' $q$ ' are placed in air at a distance ' $2a$ ' apart and third charge $-2q$ is placed at mid-point. The potential energy of the system is ( $\epsilon_0$ = permittivity of free space)

Show answer and solution

Answer: (d)

Pairs: $(q, q)$ at $2a$ ; two pairs $(q, -2q)$ at $a$ .
$U = k\left[\dfrac{q^2}{2a} - \dfrac{2q^2}{a} - \dfrac{2q^2}{a}\right] = -\dfrac{7kq^2}{2a}$
$U = -\dfrac{7q^2}{8\pi\epsilon_0 a}$ . So the answer is (d).

Report a mistake

More questions on Electrostatic Potential Energy

The equal charges (say 'q') are placed at a distance of 4r and a third charge (-2q) is…MHT CET 2026 (12 May, Shift 1)
Two equal positive charges each of value 'q' are placed at points A and B, where AB = 3x…MHT CET 2026 (19 Apr, Shift 2)
Three point charges Q, +2q and +q are placed at the vertices of a right-angled isosceles…MHT CET 2026 (18 Apr, Shift 2)
Three point charges +q, +2q and +Q are placed at the vertices of an equilateral triangle…MHT CET 2026 (17 Apr, Shift 2)
Two charges q₁ and q₂ are separated by a distance of 30cm. A third charge q₃ initially at…MHT CET 2026 (16 Apr, Shift 2)
Two point charges q₁ = 6 μ C and q₂ = 4 μ C are kept at points A and B in air where…MHT CET 2026 (16 Apr, Shift 1)
Two charges 7 and -2 are placed at (-9, 0, 0) cm and (9, 0, 0) cm respectively in an…JEE Main 2026 (23 Jan, Shift 2)
Three point charges +q, -2q and -2q are placed at the vertices of an equilateral triangle…MHT CET 2026 (13 May, Shift 1)