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Coulomb force in a dielectric medium compared with air

This type of question, asked 6 times: 3 May 2023 S1, 11 May 2024 S1, 13 Apr 2026 S2, 18 Apr 2026 S2, 20 Apr 2026 S2, 15 May 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    4
    Two equal point charges 'q' each exert a force 'F' on each other, when they are placed distance 'x' apart in air. When the same charges are placed distance 'y' apart in a medium of dielectric constant 'k', they exert the same force. The ratio of distance 'y' to 'x' is equal to

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  2. Question 2

    11 May 2024 S1

    10
    Two positively charged identical spheres separated by a distance dd exert some force (F) on each other when they are kept in air. If both the spheres are immersed in a liquid of dielectric constant 5, the force experienced by each is (All other parameters are unchanged.)

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  3. Question 3

    13 Apr 2026 S2

    127
    If two charges q1q_1 and q2q_2 are separated with distance 'd' and placed in a medium of dielectric constant KK. What will be the equivalent distance between charges in air for the same electrostatic force?

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  4. Question 4

    18 Apr 2026 S2

    126
    Two equal point charges exert a force F on each other when they are placed distance 'd' apart in air. When they are placed distance 'D' apart in a medium of dielectric constant K, they exert the same force. The distance D is equal to

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  5. Question 5

    20 Apr 2026 S2

    128
    Two point charges placed in air separated by distance RR exert a force FF on each other. Now the space between those charges is filled with dielectric constant KK. At distance R1R_1 between the charges, the same force is exerted as FF. Then

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  6. Question 6

    15 May 2026 S2

    126
    Two point charges placed at a certain distance rr in air exert force FF on each other. Then the distance r1r_1 at which these charges will exert the same force in a medium of dielectric constant KK is

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