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Ahmed1029

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- #1

Ahmed1029

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- #2

alan123hk

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In the link below, the second uniqueness theorem is described as follows.

"*The ***second uniqueness theorem** states that the electric field is uniquely determined if the total charge on each conductor is given and the charge distribution in the regions between the conductors is known"

http://teacher.pas.rochester.edu/PHY217/LectureNotes/Chapter3/LectureNotesChapter3.html

I think this conclusion clearly makes sense even without a rigorous mathematical proof.

"

http://teacher.pas.rochester.edu/PHY217/LectureNotes/Chapter3/LectureNotesChapter3.html

I think this conclusion clearly makes sense even without a rigorous mathematical proof.

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- #3

Ahmed1029

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I know, but I don't know how to use it when stated like this."The"second uniqueness theoremstates that the electric field is uniquely determined if the total charge on each conductor is given and the charge distribution in the regions between the conductors is known

Is what I described above the right way to use it?

- #4

alan123hk

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In the figure below, the respective total charges

Furthermore, the exact charge distribution in all other spaces

- #5

Ahmed1029

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that doesn't tell me how to use it or what conditions the electric field must satisfy to be true. All it says is that there is one electric field that is true, it doesn't tell me how to know which one is true. For example I give you 5 different electric fields and ask you which one is the true one, what will you do? What conditions are you going to apply ?

In the figure below, the respective total chargesq1,q2, andq3of conductorss1,s2, ands3are known, but the charge distribution on each conductor (S1, S2 and S3) is unknown.

Furthermore, the exact charge distribution in all other spacesS0containing these three conductors is also known.

- #6

alan123hk

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If we want to know what this unique electric field looks like, we must know the exact distribution of charges on conductors s1,s2 and s3.

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