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Potential at the centre of a charged semicircular arc or half rings

This type of question, asked 3 times: 4 May 2023 S1, 13 Apr 2026 S2, 19 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    4 May 2023 S1

    15
    The electric potential at the centre of two concentric half rings of radii R1R_1 and R2R_2, having same linear charge density λ\lambda is (ε0=\varepsilon_0 = permittivity of free space)

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  2. Question 2

    13 Apr 2026 S2

    126
    The electric potential at the center of two concentric half rings of radii R1R_1 and R2R_2, having same linear charge density λ\lambda is (ϵ0\epsilon_0 = permittivity of free space)

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  3. Question 3

    19 May 2026 S1

    125
    A semicircular arc of radius 'RR' is charged uniformly and has charge per unit length as λ\lambda. The electric potential VV at the centre of curvature is [ε0\varepsilon_0 = permittivity of vacuum]

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