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Electric field

  1. Jun 21, 2003 #1
    I'm revising for my exam and got stuck in the following questions. Please help.

    1) An isolated spherical conductor of radius r is charged to a potential V. The total electrical energy stored is _______.
    This is an MC question and the answer is V2(2*pi*εo*r)
    I only know energy stored = Qq/(4*pi*εo*r) and V=Q/(4*pi*εo*r)

    2)A positively-charged metal sphere A of radius a is joined by a conducting wire to an uncharged metal sphere B of radius b placed far away from the first sphere. THe ratio of the surface charged density on sphere A to that on sphere B is ______.
    The answer is b/a.

    Well, I know surface area of A :surface area of B = a^2:b^2. How can I get the answer b/a ?

    Thanks in advance.
  2. jcsd
  3. Jun 22, 2003 #2


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    Science Advisor

    In the first problem you have an incorrect formula: this is an "isolated" conductor so you do NOT have two charges, q and Q.
    Since you have only one charge, Q, you need to use
    energy stored = Q2/(4*pi*epsilon*r).

    You also know V=Q/(4*pi*epsilon*r) so Q= V/(4*pi*epsilon*r) and Q2= V2/(4*pi*epsilon*r)2. Substitute that into the first equation and then simplify.
  4. Jun 25, 2003 #3
    That means the answer isn't V^2(2*pi*eplison*r) but V^2(4*pi*eplison*r). I'm pretty sure I was given a wrong answer.
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