Question

prove that net force acting on an electric dipole in client at angle theta to form a uniform electric field vector .Draw a suitable diagram​

Answer 1

Answer

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(I) Let an electric dipole is placed in a uniform electric field E , making an angle θ with the field ,

  force on charge +q F+q=+qE   (along E)

  force on charge −q F−q=−qE   (opposite to E)

as two equal and opposite forces are acting on the dipole therefore net force  F=0

(ii)  We know that work done in rotating a electric dipole from θ1 to θ2 , ( where θ1 is the angle of dipole with electric field ) is given by ,

          W=pE(cosθ1−cosθ2)

now given θ1=0,θ2=180

therefore W=pE(cos0−cos180)=2pE