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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

(a) +,+,+,-,-,-

B

(b) -,+,+,+,-,-

C

(c) -,+,+,-,+,-

D

(d) +,-,+,-,+,-

Text Solution

Verified by Experts

The correct Answer is:
C
`|vecE|=(Kq)/(r^2)`
Electric field due to P on O is cancelled by electric field due to S on O.
ismilarly Electric field due to Q on O is cancelled by electric field due to T and O. The electric field due to R on O is in the same direction as that of U on O. Therefore the net electric field is `2vecE`.
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