The electric field everywhere on the surface of a thin, spherical shell of radius 0.770 m is of magnitude 892 N/C and points radially toward

Question

The electric field everywhere on the surface of a thin, spherical shell of radius 0.770 m is of magnitude 892 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere’s surface

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Ngọc Diệp 4 weeks 2021-08-18T11:09:43+00:00 1 Answers 0 views 0

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    2021-08-18T11:11:22+00:00

    Answer:

    Q = 58.8 nC

    Explanation:

    For distance just above the surface of the spherical shell and higher, electric field of the shell can be considered as the electric field generated by a charge Q at the center of the spherical shell:

    To calculate the net charge within the sphere’s surface you use the following formula:

    E=k\frac{Q}{R^2}         (1)

    Q: net charge of the spherical shell

    R: radius of the sphere = 0.770m

    E: magnitude of the electric field for points just above the sphere’s surface = 892N/C

    k: Coulomb’s constant = 8.98*10^9 Nm^2/C^2

    You solve the equation (1) for Q and replace the values of the other parameters:

    Q=\frac{R^2E}{k}=\frac{(0.770m)^2(892N/C)}{8.98*10^9Nm^2/C^2}\\\\Q=5.88*10^{-8}C=58.8nC

    The net charge within the sphere’s surface is 58.8nC

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