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Point on the line of two charges where the net field or force is zero

This type of question, asked 6 times: 10 May 2023 S1, 15 May 2023 S1, 16 May 2023 S1, 19 Apr 2025 S1, 17 Apr 2026 S2, 14 May 2026 S2. All 6 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    43
    Two point charges +10q+10q and −4q-4q are located at x=0x=0 and x=Lx=L respectively. What is the location of a point on the x-axis from the origin, which the net electric field due to these two point charges is zero? (r=r= required distance)

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  2. Question 2

    15 May 2023 S1

    37
    Two-point charges +8q+8q and −2q-2q are located at X=0X=0 (origin) and X=LX=L respectively. The net electric field due to these two charges is zero at point P on X-axis. The location of point P from the origin is

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  3. Question 3

    16 May 2023 S1

    5
    Two point charges +8q+8q and −2q-2q are located at x=0x=0 and x=Lx=L respectively. The location of a point on the x-axis from the origin, at which the net electric field due to these two point charges is zero is

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  4. Question 4

    19 Apr 2025 S1

    30
    Two charges q1=+6qq_{1}= +6_{q} and q2=−3qq_{2}= - 3q placed as shown in figure. A proton is placed on xx-axis away from q2q_{2}. To remain proton in equilibrium, the distance between q1q_{1} and proton is

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  5. Question 5

    17 Apr 2026 S2

    126
    Two point charges +e and +4e are kept at a distance 'd' units apart. Third point charge +q is placed between the two charges at a distance 'x' units from charge +e so as to be in equilibrium. The value of 'x' is

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  6. Question 6

    14 May 2026 S2

    125
    Two particles of charges q1=8qq_1 = 8q and q2=−2qq_2 = -2q are placed as shown in figure. At what point away from q2q_2 on x-axis can a proton be placed placed so that it is in equilibrium?

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