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Work done moving a charge in the field of point charges

This type of question, asked 3 times: 27 Jan 2024, 21 Jan 2026 S1, 28 Jan 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    27 Jan 2024

    13
    An electric charge 10−6μC10^{- 6}\mu C is placed at origin (0,0)(0,0) mm of X−YX - Y co-ordinate system. Two points PP and QQ are situated at (3,3)m(\sqrt{3},\sqrt{3})m and (6,0)m(\sqrt{6},0)m respectively. The potential difference between the points PP and QQ will be:

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  2. Question 2

    21 Jan 2026 S1

    20
    A point charge of 10−8C10^{- 8}C is placed at origin. The work done in moving a point charge 2μC2\mu C from point A(4,4,2)mA(4,4,2)m to B(2,2,1)mB(2,2,1)m is ____\_\_\_\_ J. ( 14πϵ0=9×109\frac{1}{4\pi\epsilon_{0}}= 9 \times10^{9} in SI units)

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  3. Question 3

    28 Jan 2026 S1

    19
    Two-point charges of 1nC and 2nC are placed at the two corners of equilateral triangle of side 3 cm . The work done in bringing a charge of 3nC from infinity to the third corner of the triangle is ____\_\_\_\_ μJ\mu J. 14πϵ0=9×109 N.m2/C2\frac{1}{4\pi\epsilon_{0}}= 9 \times10^{9}\text{ }N.m^{2}/C^{2}

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