what is the vector sum of the forces acting on a dipole placed in a uniform field
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Let us assume we have a uniform electric field E (constant direction and magnitude) in some region of space, and a dipole moment vector makes an angle q with the field E. The positive charge feels a force qE, So the net force on a dipole in a uniform field is zero.
Force on dipole = qE-qE=0.
Even though the two forces on the ends of the dipole cancel as free vectors, they act at different points. This means that they give rise to a torque on dipole. The turning effect of this torque is to reduce the angle q towards zero, and make the dipole moment vector become parallel to the field.
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