A point charge q is at the point x = 0, y = 0, z = 0. An imaginary hemispherical surface is made by starting with a spherical surface of rad

Question

A point charge q is at the point x = 0, y = 0, z = 0. An imaginary hemispherical surface is made by starting with a spherical surface of radius R centered on the point x = 0, y = 0, z = 0 and cutting off the half in the region z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if q = 5.00 nC and R = 0.100 m.

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Nick 3 years 2021-08-14T22:41:43+00:00 1 Answers 140 views 0

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    -2
    2021-08-14T22:42:57+00:00

    Answer:

    282.5 N.m^2/C

    Explanation:

    Use the Coulomb’s law. According to it, the flux through entire sphere would be

    \phi = \frac{q}{\epsilon_o}

    where, q is the total charge enclosed in the sphere and \epsilon_o is the absolute permittivity.

    Thus, the flux through the hemisphere would be half of it i.e.

    \phi = \frac{q}{2\epsilon_o}\\\phi =\frac{5\times 01^{-9}}{2\times 8.85\times10^{-12}}\\\phi =282.5 N.m^2/C

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