A point charge .q. is placed at origin. bar(E )_(A), bar(E )_(B) and bar(E )_(C ) be the electric field at three points A(1, 2, 3), B(1, 1, -1) and C(2, 2, 2) due to charge q. Then give the possible relations between the above field strengths.

A point charge .q. is placed at origin. bar(E )_(A), bar(E )_(B) and b

1.	A point charge .q. is placed at origin. bar(E )_(A), bar(E )_(B) and bar(E )_(C ) be the electric field at three points A(1, 2, 3), B(1, 1, -1) and C(2, 2, 2) due to charge q. Then give the possible relations between the above field strengths.
Answer» SOLUTION :`bar(E )_(A)` is along `bar(OA) and bar(E )_(B)` is along `bar(OB)`. `bar(OA) = i + 2j + 3K and bar(OB) =I + j - k` since `bar(OA).bar(OB) = 0`, `bar(E )_(A) bot bar(E )_(B)` further `\|bar(E )\| prop (1)/(r^(2))` `THEREFORE \|bar(OC)\| =2 \|bar(OB)\| therefore \|bar(E )_(B)\|=4 \|bar(E )_(C)\|`

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A point charge .q. is placed at origin. bar(E )_(A), bar(E )_(B) and bar(E )_(C ) be the electric field at three points A(1, 2, 3), B(1, 1, -1) and C(2, 2, 2) due to charge q. Then give the possible relations between the above field strengths.

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