The ammonia molecule `NH_3` has a permanent electric dipole moment equal to 1.47 D, where 1 D = 1 debye unit `= 3.34 xx 10^(-30) C. m.` Calculate the electric potential due to an ammonia molecule at a point 103 nm away along the axis of the dipole. (Set V = 0 at infinity.)

Explanation

To calculate the electric potential \( V \) due to the ammonia molecule \( NH_3 \) at a point \( 103 \, \text{nm} \) away along the axis of the dipole, we can use the formula for the electric potential due to a dipole:

\[ V = \frac{1}{4\pi \epsilon_0} \cdot \frac{p \cdot \cos(\theta)}{r^2} \]

where:
- \( V \) is the electric potential,
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