An electric dipole of length 4 cm, when placed with its axis making an angle of `60^(@)` with a uniform electric field, experiences a torque of `4 sqrt(3) N m`. Calculate the
a. magnitude of the electric field, and
b. potential energy of the dipole, if the dipole has charges of `+- 8 n C`.

Explanation

To solve the problem, we will follow these steps:

### Given Data:
- Length of the dipole, \( l = 4 \, \text{cm} = 0.04 \, \text{m} \)
- Angle with the electric field, \( \theta = 60^\circ \)
- Torque experienced by the dipole, \( \tau = 4\sqrt{3} \, \text{N m} \)
- Charge of the dipole, \( q = 8 \, \text{nC} = 8 \times 10^{-9} \, \text{C} \)

...