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six charges of equal magnitude, 3 poisti...

six charges of equal magnitude, 3 poistive and 3 negative are to be placed on PQRSTU corners of a regular hexagon, such that field at the centre is double that of what it would have been if only one +ve charge is placed at R. Which of the following arrangement of charge is posisble for P, Q, R, S, T and U respectively.

A

`+,+,+,-,-,-`

B

`-,+,+,+,-,-`

C

`-,+,+,-,+,-`

D

`+,-,+,-,+,-`

Text Solution

Verified by Experts

`|vecE|=(kq)/(r^(2))`
Electric field due to P on O is canceled by electric field due to S on O Similarly electric field due to Q to O is canceled by electric field due to T and O. The electric field due to R on O in the same direction as that of U and O therefore the net electric field is `2vecE`
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