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A point charge Q is placed at origin. Le...

A point charge `Q` is placed at origin. Let `vecE_(A), vec E_(B), and vecE_(C)` be the electirc field at three points A (1,2,3), B (1,1,1), and C(2,2,2) due to charge `Q`. Then

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`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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AAKASH SERIES-ELECTRIC CHARGES AND FIELDS-Practice Exercise
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  4. Two equal and opposite charges are placed at a certain distance apart ...

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  5. Two positively charged small particles, each of mass 1.7 xx 10^(-27) k...

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  6. The minimum electrostatic force between two charged particles placed a...

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  7. The force between two alpha-particles separated by a distance .r. is F...

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  8. The force between two charges 0.06m apart is 5N. If each charge is mov...

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  9. Four point charges qA = 2 µC, qB = –5 µC, qC = 2 µC, and qD = –5 µ C a...

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  10. The force between two charges separated by a distance 1m is 1.8N. The ...

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  11. In 1 gram of solid, there are 5 xx 10^(21) atoms. If one electron is r...

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  12. Two positively charged particles each of mass is 9 xx 10^(-30)kg and c...

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  13. A charge Q is divided into two charge q and Q-q. The value of q such t...

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  14. The ratio of the forces between two charges placed at a certain distan...

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  15. Two point charges +2C and +6C repel each other with a force of 12N. If...

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  16. Two small balls having equal positive charge Q (coulumb) on each suspe...

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  17. The force between two charges 4C and -2C which are separated by a dist...

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  18. Two charges 9 mu C and 1mu C are placed at a distance of 30cm. The pos...

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  19. Three point charges Q(1), Q(2) and Q(3) in that order are placed equal...

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  20. A long solenoid having n = 200 turns per metre has a circular cross-se...

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  21. 10C and 20C are separated by a distance d. If the electric field at th...

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