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17 August, 17:34

A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radius 8 mm, and the outer one a radius 11 mm. The common length of the cylinders is 152 m. What is the potential energy stored in this capacitor when a potential difference 8 V is applied between the inner and outer cylinder? (k = 1/4∗π∗ϵ0=8.99*109N⋅m2/C2) A cylindrical capacitor is made of two thin-walled concentric cylinders. The inner cylinder has radius 8, and the outer one a radius 11. The common length of the cylinders is 152. What is the potential energy stored in this capacitor when a potential difference 8 is applied between the inner and outer cylinder? (=) 8.5*10-7 J 7.5*10-6 J 2.0*10-7 J 1.4*10-7 J 9.6*10-7 J

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  1. 17 August, 17:58
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    So the answer is the first one

    E = 8.5 x 10 ⁻⁷ J

    Explanation:

    Given:

    r₁ = 8 mm, r₂ = 11 mm, h = 152 m

    ε₀ = 8.85 x 10⁻¹² N * m² / C²

    C = Q / V

    C = 2π * h * ε₀ / ln (r₂ / r₁)

    C = [ 2π * 152 m * 8.85 x 10⁻¹² N * m² / C² ] / [ ln (11 mm / 8mm) ]

    C = 2.654 x 10⁻⁸ F

    C = 26.54 nF

    Now to determine the energy Emf

    E = ¹/₂ * C * V²

    E = ¹/₂ * 26.54 nF * 8²V

    E = 8.5 x 10 ⁻⁷ J
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