The correct equation for calculating the electrical force \( F_e \) between two charges \( q_1 \) and \( q_2 \) is given by Coulomb's law:
\[ F_e = k \frac{q_1 \times q_2}{d^2} \]
Where:
- \( F_e \) is the electrical force between the charges,
- \( k \) is Coulomb's constant (approximately \( 8.99 \times 10^9 , \text{N m}^2/\text{C}^2 \)),
- \( q_1 \) and \( q_2 \) are the magnitudes of the two charges,
- \( d \) is the distance between the centers of the two charges.
Thus, the correct option is:
\[ F_e = k \frac{q_1 \times q_2}{d^2} \]