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Q.

There is a system of 4 infinite length uniformly charged wire passing through corners of a rectangle ABCD and perpendicular to the plane of rectangle as shown in figure. Charge density of wires passing through A, D is λ and B and C is  2λ.  P1,P2,P3 and P4 are points on the perpendicular bisector of AD and BC. (q is positive charge)

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a

Potential energy of system is increasing continuously if a charge particle ‘q’ is moved from P1 to O along perpendicular bisectors

b

Potential energy of system first increases and then decreases if charge is moved from  P2 to O along perpendicular bisector line.

c

Potential energy of system 1st increase then decrease if a charge particle ‘q’ is moved from O to P3

d

Potential energy of system decrease continuously if a charge particle ‘q’ is moved from P2 to O along perpendicular bisector line

answer is D.

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Detailed Solution

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Opposite to direction of field potential increases and in the direction it decreases.

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