1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

System of conducting spheres

  1. Sep 25, 2007 #1
    Was curious how some of you guys would solve this problem...

    Three conducting spheres of radii a, b and c are connected by negligibly thin conducting wires. Distances between the spheres are much larger than their sizes. The electric field on the surface of a is measured to be E[tex]_{a}[/tex]. What is the total charge Q that this system of three spheres holds?

    E = Q/r[tex]^{2}[/tex]*Ke

    Q = Q[tex]_{a}[/tex]+Q[tex]_{b}[/tex]+Q[tex]_{c}[/tex]

    The way I solved it is most likely not the way my professor intended. I said that since the amount of charge on each sphere is a function only of the radius of the sphere...

    a + b + c = x

    a/x = percentage of Q shared on sphere a (called this S[tex]_{a}[/tex])

    so Q[tex]_{a}[/tex] = S[tex]_{a}[/tex]*Q
    and Q = Q[tex]_{a}[/tex]/S[tex]_{a}[/tex]

    I imagine I'm missing a conceptual link that'd make another path to solving this more clear.
     
  2. jcsd
  3. Sep 25, 2007 #2

    Astronuc

    User Avatar

    Staff: Mentor

    The charge surface density would equal, so the total Q is distributed according to the fraction of surface area.

    Determine the surface area for each sphere and total of all three, then ratio the area of each sphere to the total.

    Area of sphere is proprotional to r2, where r is the radius.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: System of conducting spheres
  1. Conducting Spheres (Replies: 7)

  2. Conducting Sphere? (Replies: 3)

Loading...