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Motion In A Plane

Question
CBSEENPH11026315

Three points charges +q, -2q and +q are placed at points (x=0,  y=a,  z=0),  ( x=0,  y=0,  z=0 )  and  (x=a,  y=0,  z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

  • 2 qa along + y direction

  • 2qa along the line joining point

  • qa along the line joining points (x = 0,y = 0, z = 0) and (x = a, y = a, z = 0)

  • 2qa along + x direction

Solution

B.

2qa along the line joining point

0 is the origin at which -2q charge is placed. The system is equivalent to two dipoles along x and y-directions respectively. The dipole moments of two dipoles are shown in figure            

The resultant dipole moment will be directed along OP where P = (a, a, 0). The magnitude of resultant dipole moment is

    p' = p2 + p2

        = qa2 + qa2

     p' = 2q a