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Increase in potential energy when one charge is moved closer to another

The same question, asked 3 times: 10 May 2023 S2, 12 May 2024 S2*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S2

    27
    Two point charges q1=6 μq_1 = 6\,\muC and q2=4 μq_2 = 4\,\muC are kept at points A and B in air where AB = 10 cm. What is the increase in potential energy of the system when q2q_2 is moved towards q1q_1 by 2 cm? (14πε0=9×109\left(\frac{1}{4\pi\varepsilon_0} = 9 \times 10^9\right. SI units)

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  2. Question 2

    12 May 2024 S2

    12
    Two point charges 'q1q_1' and 'q2q_2' are separated by a distance 'dd'. What is the increase in potential energy of the system when 'q2q_2' is moved towards 'q1q_1' by a distance 'xx'? (x<d),  14πϵ0=K(x < d),\; \frac{1}{4\pi\epsilon_0} = K

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  3. Question 3

    16 Apr 2026 S1

    126
    Two point charges q1=6 μCq_1 = 6\ \mu\mathrm{C} and q2=4 μCq_2 = 4\ \mu\mathrm{C} are kept at points A and B in air where distance AB=10AB = 10 cm. What is the increase in potential energy of the system when q2q_2 is moved towards q1q_1, by 2 cm ? (14πϵ0=9×109 SI units)\left(\dfrac{1}{4\pi\epsilon_0} = 9 \times 10^9\ \text{SI units}\right)

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