Wire in Field

  1. A very long straight wire has charge per unit length 1.49×10-10 C/m.


    At what distance from the wire is the magnitude of the electric field equal to 2.49 N/C?



    Use 8.85×10-12 C^2/(N*m^2) for the permittivity of free space and use pi = 3.1416 for E = (lambda)/(2*pi*permittivity of free space*r).

    Given:
    E = 2.49 N/C

    I have no idea what to do with this formula. Why is wavelength needed and what is the variable we are trying to find? I am lost.

    Thanks.
     
  2. jcsd
  3. Doc Al

    Staff: Mentor

    In this formula, lambda stands for the "charge per unit length", not wavelength. You are trying to find the distance from the wire, which is "r".
     
  4. dextercioby

    dextercioby 12,303
    Science Advisor
    Homework Helper

    [itex] \lambda [/itex] is not a wavelength,it's the linear charge density and it's measured in C/m.
    Plug in all the numbers in the formula & see what happens...

    Daniel.
     
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