Two charges q₁ and q₂ are separated by a distance of 30 cm. A third… | JEE Main 2025 (7 Apr, Shift 1)

Q26JEE Main 2025 · 7 APR · SHIFT 1Medium

Electrostatic Potential Energy

Two charges $q_1$ and $q_2$ are separated by a distance of 30 cm. A third charge $q_3$ initially at ' C ' as shown in the figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of $q_3$ from C to D is given by $\frac{q_3 K}{4\pi\epsilon_0}$ , the value of K is:

Show answer and solution

Answer: (d)

$q_3$ moves on a circle centred at $q_1$ , so the $q_1q_3$ energy does not change.
Distance from $q_2$ : at C, $\sqrt{30^2+40^2} = 50$ cm; at D, $40 - 30 = 10$ cm.
$\Delta U = \frac{q_2q_3}{4\pi\epsilon_0}\left(\frac{1}{0.1} - \frac{1}{0.5}\right) = \frac{q_3}{4\pi\epsilon_0}(8q_2)$
So $K = 8q_2$ , answer (d).

Report a mistake

More questions on Electrostatic Potential Energy

In the first configuration (1) as shown in the figure, four identical charges (q₀) are…JEE Main 2025 (24 Jan, Shift 2)
Two point charges +10 and 4 are placed 10 cm apart in air. The work required to be done…MHT CET 2025 (23 Apr, Shift 2)
If a unit positive charge is shifted from a region of low potential to a region of high…MHT CET 2024 (15 May, Shift 1)
In an electric field due to charge Q, a charge q moves from point A to B as shown in the…MHT CET 2024 (15 May, Shift 2)
If a 10 charge exists at the centre of a square, the work done in moving a 2 point charge…MHT CET 2024 (4 May, Shift 2)
90 J of work is done to move an electric charge of magnitude 3 C from a place A, where…MHT CET 2024 (2 May, Shift 1)
Two point charges q₁ = 6 and q₂ = 4 are kept at points A and B in air where AB = 10 cm…MHT CET 2024 (10 May, Shift 2)
Three charges are placed at the vertices of an equilateral triangle as shown in the…MHT CET 2024 (2 May, Shift 1)

Electrostatic Potential Energy question from JEE Main 2025 (7 Apr, Shift 1)

More questions on Electrostatic Potential Energy