1.

A point charge ‘q’ is placed at orgin. 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 changed. 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`
`vec(E_A) _|_ vec(E_B)` further `|bar(E)| prop 1/(r^2)`
`:. |bar(OC)| = 2|bar(OB)| :. |bar(E_B)| = 4|bar(E_C)|`.


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