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Finding the charge on the outer surface of the conductor

  1. Jul 23, 2005 #1
    Hello everyone. I'm having troubles getting the last part of this question. An isolated conductor of arbitreary shape has a net charge of +10x10^-6C. Inside the conductor is a cavity within which is a point charge q = +3.0x10^-6C. What is the charge (a) on the cavity wall and (b) on the outer surface of the conductor?

    I got (a) which is -3.0x10^-6C because the charge insdie a conductor has to be 0. But (b) is +1.3x10^-5C. I have no idea how they came up with this.
  2. jcsd
  3. Jul 23, 2005 #2
    charges on a conductor can only exist on the surfaces (like the outer surfaces, or the wall surface of an internal cavity). the problem states the total NET charge on the conductor (surfaces) is +10x10(-6) Coulombs. since you've already correctly determined the internal cavity surface charge to be -3.0x10(-6) C, the remainder must be on the outer surface:
    outer surface charge = (total NET charge) - (inner cavity surface charge)
    = (+10x10(-6)) - (-3.0x10(-6))
    = +1.3x10(-5) C
    Last edited: Jul 23, 2005
  4. Jul 24, 2005 #3
    awesome thanks, but i don't understand why in your calculation you included the negative sign with the charge, i thought it has no mathamatical significance?
  5. Jul 24, 2005 #4
    charge sign ("+" or "-") is generally significant and should be included in your calculations.
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