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Calculating the resultant electric field

  1. Oct 12, 2016 #1

    diredragon

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    Gold Member

    1. The problem statement, all variables and given/known data
    In the picture below it is asked that i calculate the resultant electric field if the linear charge density is known.

    Calculate the resultant electric field of a charged semicircle wire (positioned as in the picture) at some point M on the Z axis if the linear charge density of the wire is known ( wire is thought to be infinetly thin. )
    IMG_1636.JPG
    2. Relevant equations
    3. The attempt at a solution

    I calculated the projections but the part ( which i circled ) is the solution from the book. That has to be wrong right? When we replace the linear charge density expression the π is squared not lost?


    [Mentor note: Added OP's text description of the problem statement, moved the image to be inside the problem statement section.]
     
    Last edited by a moderator: Oct 12, 2016
  2. jcsd
  3. Oct 12, 2016 #2

    gneill

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    Staff: Mentor

    Can you provide a text description of the problem statement please? Helpers shouldn't have to decipher your math to understand the layout of the charge distribution under consideration.

    Update: I massaged the problem statement to include the description provided by the OP.
     
    Last edited: Oct 12, 2016
  4. Oct 12, 2016 #3

    diredragon

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    Ok sorry xD...Calculate the resultant electric field of a charged semicircle wire (positioned as in the picture) at some point M on the Z axis if the linear charge density of the wire is known ( wire is thought to be infinetly thin. )
     
  5. Oct 12, 2016 #4

    Simon Bridge

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    Looks like a circular line of total charge ##Q##... radius ##a## .... so charge density ##\lambda = Q/2\pi a##
    [edit - no it is a semi-circle ... then charge density is ##Q/\pi a## - you wrote the other]
    The task is to find the field on the z axis... is this correct?
    However, you spend a lot of time apparently looking for ##E_x##
    [edit: explains the time to find the x component]

    See example:
    http://www.phys.uri.edu/gerhard/PHY204/tsl329.pdf
     
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