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Question: Point charge are placed the corners of square of side 'a'. The value and nature of q can be best rep...

Point charge are placed the corners of square of side 'a'. The value and nature of q can be best represented, to make the net force on Q zero as–

A

22- 2\sqrt{2}Q

B

22Q2\sqrt{2}Q

C

Q22\frac{- Q}{2\sqrt{2}}

D

Q22\frac{Q}{2\sqrt{2}}

Answer

Q22\frac{- Q}{2\sqrt{2}}

Explanation

Solution

Resultant of F and F = F'' =

2F cos 902\frac { 90 } { 2 }= 2\sqrt { 2 } kQqa2\frac { \mathrm { kQq } } { \mathrm { a } ^ { 2 } }

To make force of Q zero :

F' + F'' = 0 Ž + 2kQqa2\frac { \sqrt { 2 } \mathrm { kQq } } { \mathrm { a } ^ { 2 } } = 0