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Math Help - Nonuniform volume charge in a cylinder (application)

  1. #1
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    Nonuniform volume charge in a cylinder (application)

    An infinitely long cylinder of radius a in free space is charged with a volume charge density p(r)=p0(a-r)/a (0<=r<=a), where p0 is a constant and r the radial distance from the cylinder axis. Find the Charge per unit length of the cylinder.

    In the problem a volume charge density was given. The only definition I can find is:
    p=dQ/dv. Knowing this I can integrate the volume charge density given to get the charge, however, I'm unsure how to come to charge per unit length. Any help appreciated.
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  2. #2
    Senior Member MaxJasper's Avatar
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    Re: Nonuniform volume charge in a cylinder (application)

    Use v=pi*r^2*1 for 1 unit of cylinder's legth then: p=dQ/dv=dQ/dr * dr/dv
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