KCET · Physics · Electrostatics
Four charges \(+q,+2 q,+q\) and \(-2 q\) are placed at the corners of a square \(A B C D\) respectively. The force on a unit positive charge kept at the centre \(O\) is
- A along the diagonal \(B D\)
- B along the diagonal \(A C\)
- C perpendicular to \(A D\)
- D zero
Answer & Solution
Correct Answer
(A) along the diagonal \(B D\)
Step-by-step Solution
Detailed explanation
The given situation is shown below
Since, charges kept at point \(A\) and \(C\) are in same magnitude and same nature (i.e. both positive). hence net force due these two charges on unit charge at centre \(O\) will be zero.
Force due to charge \((+2 q)\) at unit positive charge at centre will be towards \(B O\) and also force due to charge \((-2 q)\) at unit positive charge at centre will be towards \(O D\).
Therefore, net force on the unit positive charge kept at centre \(O\) will be towards \(B D\).
Since, charges kept at point \(A\) and \(C\) are in same magnitude and same nature (i.e. both positive). hence net force due these two charges on unit charge at centre \(O\) will be zero.
Force due to charge \((+2 q)\) at unit positive charge at centre will be towards \(B O\) and also force due to charge \((-2 q)\) at unit positive charge at centre will be towards \(O D\).
Therefore, net force on the unit positive charge kept at centre \(O\) will be towards \(B D\).
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