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Homework Help: Electric field due to concentric cylinders

  1. Oct 7, 2004 #1
    2 long charged concentric cylinders have radii of 3.22cm and 6.18cm. Surface charge densit of the inner cylinder is 2.41 micro C / m^2 and outer cylinger is -18.0microC/ m^2. Find electric field at r = 4.10cm (r is the radius as taken from the central axid of these two concetric cylinders)

    i worked it out and got E = 2 k (2.41 x 10^-6)/ (0.041) = 1.06x 10^6N/C

    am i right ?

    the book gives an answer that is 2.12 MN/C

    so who i right me or the book?
     
    Last edited: Oct 7, 2004
  2. jcsd
  3. Oct 7, 2004 #2
    Book I think

    I got an answer of .214 M N/C, but whats a factor of ten between friends? When you use Gauss's Law you should have

    E*2*pi*r*L, on one side and, (2*pi*a*L*sigma)/epsilon, on the other

    L is any arbitrary length (it cancels) r is where you want the field, a is the radius of the inner cyl. sigma is the surface charge density and epsilon is epsilon.

    Gabriel
     
  4. Oct 7, 2004 #3
    there must a reason why its off my a tenth though
     
  5. Oct 7, 2004 #4
    check my math

    I got

    E = (a * sigma)/(r * epsilon)

    a = .0322 m
    sigma = 2.41 * 10^-6 C/m^2
    r = .0410 m
    epsilon = 8.85 * 10^-12

    This gives me 213868 N/C

    Gabriel
     
  6. Oct 7, 2004 #5
    I have to make a correction, the answer in teh book is 2.19 MN/C

    so we're off by a tenth and and a few points

    perhaps the solution you are posing is wrong??
     
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