Torque exerted by electrostatic force on the positive charge
Here electrostatic force F = qE, r = a Taking centre of the dipole as axis of rotation
Similarly torque on negative charge
Net Torque
From Newton's Second law of rotational Motion
Here Moment of inertia of the dipole is given by
Using all the equations we get
For small angular displacement
So we can say that
So Dipole will execute the SHM.
Now comparing with standred equation of SHM we get
We know that
So
23.87: An electric dipole in a uniform horizontal electric field is displaced slightly from its equilibrium...