Electrostatics 7 Question 2
2. An electric dipole is formed by two equal and opposite charges with separation . The charges have same mass . It is kept in a uniform electric field . If it is slightly rotated from its equilibrium orientation, then its angular frequency is
(a)
(b)
(c)
(d)
Show Answer
Solution:
- Key Idea When an electric dipole is placed in an electric field
at some angle , then two forces equal in magnitude but opposite in direction acts on the tve and ve charges, respectively. These forces forms a couple which exert a torque, which is given as
where,
Torque on the dipole is given as
where,
For small angles,
Moment of inertia of the given system is
Substituting the value of
The above equation is similar to the equation for a system executing angular SHM.
Comparing Eq. (ii), with the general equation of angular SHM, i.e.
where,
we get