A 17.0 g piece of Styrofoam carries a net charge of −7.00 μC and floats above the center of a large horizontal sheet of plastic that has a u

Question

A 17.0 g piece of Styrofoam carries a net charge of −7.00 μC and floats above the center of a large horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area (in C/m2) on the plastic sheet? (Include the sign of the value in your answer.) Hint

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Khoii Minh 5 years 2021-08-18T13:08:13+00:00 1 Answers 42 views 0

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  1. yenoanh
    0
    2021-08-18T13:09:18+00:00
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    Answer:

    Explanation:

    Given that,

    Mass of styrofoam =17g=0.017kg

    Net charge is q =−7.00 μC

    Electric field of a sheet is given as

    E = σ / 2εo

    σ= charge density

    εo= permittivity of free space =8.85×10^-12

    Also electric field is given as

    E=F/q

    The force acting on the body is its weight which is given as

    F=mg,

    Where g=9.81

    F=0.017×9.81

    F=0.16677N.

    Therefore,

    E=F/q

    E=0.16677 /- 7×10^-6

    E=-23824.29N/C

    Then,

    E = σ / 2εo

    Then, σ = E × 2εo

    σ=-23824.29×2×8.85×10^-12

    σ= – 4.22×10^-7C/m²

    σ= -42.2×10^-6 C/m²

    σ= -42.2 μC/m²

    The charge density is -42.2 μC/m²

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