Suppose we have two conductors A and B. If we place charges on A by amount Q while leaving B uncharged, the resulting potential on B is, say, VA→B. Conversely, if we place the same amount of charges Q on B but leave the A uncharged, the potential of A is denoted as VB→A. Use the Green's reciprocity relation, show that VA¬B = VB¬A: Hint: Remember that the potential over a conductor is constant.

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(b) Suppose we have two conductors A and B. If we place charges on A by amount Q while leaving B
uncharged, the resulting potential on B is, say, VA-B. Conversely, if we place the same amount of
charges Q on B but leave the A uncharged, the potential of A is denoted as VB-A. Use the Green's
reciprocity relation, show that
VA¬B = VB-»A-
Hint: Remember that the potential over a conductor is constant.
Q
VaE
A
Transcribed Image Text:(b) Suppose we have two conductors A and B. If we place charges on A by amount Q while leaving B uncharged, the resulting potential on B is, say, VA-B. Conversely, if we place the same amount of charges Q on B but leave the A uncharged, the potential of A is denoted as VB-A. Use the Green's reciprocity relation, show that VA¬B = VB-»A- Hint: Remember that the potential over a conductor is constant. Q VaE A
Expert Solution
Step 1

Let the charge of the conductor A is Qa

and charge on the conductor b is Qb

Charge distribution = ρ

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