electric field?

A 24 - nC charge is distributed uniformly along the x axis from x = 2 m to x = 6 m. Which of the following integrals is correct for the magnitude ( in N/C) of the electric field at x = +8 m on the x axis?

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  • 2 years ago

    EDIT in reply to comment

    I don't know what you mean by L-x+a. I defined L as linear charge density (usually a Greek lambda is used). I don’t know what you mean by ‘a’.

    We want the field at point P where x=8m.

    One end of the charge is a distance d = 8 - 2 = 6m from P.

    The other end of the charge is a distance d = 8 - 6 = 2m from P

    A charge element dq at coordinate x is a distance d = 8-x from P and contributes

    kdq/d^2

    to the field at P.

    kdq/d^2 becomes kLdx/(8-x)^2

    In the original answer I typed dx twice – a mistake I’ve corrected.

    ___________________________________________

    Length of charge = 4m so the linear charge density is L = 24*10^-9 / 4

    The integral is:

    integral of kLdx/(8-x)^2 evaluated from x=2 to x=6

    where k is the Coulomb constant.

    This should match one of the choices (which you have not included).

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