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10. A length L of wire has a charge density of  C/m. What is the electric field at an axial distance r from the wire if L is 5 meters,  is 5 x 10-8 C/m and r is 10 cm. Use Gauss’s Law to solve.

  • not a radial distance r? -

    I suspect a typo here.
    Yes, use Gauss's law if the length is great compared to the distance r
    here L = 5 and r = 0.1
    Area of cylinder around wire at distance r is 2 pi r L

    integral of E coming out of surface = charge inside /eo
    so
    2 pi r L E = 5*10^-8 L /eo
    so
    E = 5*10^-8 /(2 pi eo) = 10*10^-8 /(4 pi eo)

    = 10^-7 k

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