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    Finding the total charge on a semicircular disk

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    Please see the attached file for full problem description
    6. You have a flat, semi-circular (half) disk of radius a in the x-y plane. (Like a DVD that has been chopped in half)

    It has a nonuniform charge density (sigma = sigma0cos(phi) (where phi is the usual azimuthal angle in the x-y plane, as shown, and sigma0 > 0)

    i) Compute the total charge on this disk (in terms of givens: a and sigma0)

    ii) Consider the point (shown) on the +x axis (a given distance x0 from the origin). Do any components of the field E(x0,0, 0) at this points vanish "by inspection"? Explain.

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    https://brainmass.com/physics/applied-physics/finding-total-charge-semicircular-disk-591886

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    Solution:
    Consider an infinitely thin radial strip between angle (see attached file). The charge density on this strip can be considered as (see ...

    Solution Summary

    This solution discusses the total charge on a semicircular disk with charge density varying with azimuthal angle.

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