Which formula correctly relates the electric field (E) and force (F) on a charge (q)?

The relationship between electric field (E), force (F), and charge (q) is expressed accurately by the formula F = qE. This equation states that the force experienced by a charged particle is directly proportional to both the magnitude of the charge and the strength of the electric field in which it is located. In a uniform electric field, the electric field strength (measured in newtons per coulomb) represents the force experienced per unit charge. Therefore, when you multiply the electric field (E) by the charge (q), you obtain the total force (F) acting on the charge.

Knowing this relationship is crucial when solving problems involving charged particles in electric fields, as it provides a straightforward means to calculate the force based on the charge and the electric field strength. This fundamental principle underpins much of electrostatics and allows for further predictions regarding the motion of charges when subjected to these fields.

The other choices presented do not accurately represent the relationship between electric field and force. For example, the formula suggesting the force is equal to the electric field divided by the charge misrepresents the directionality and proportional relationship, while others do not align with the established physics of electrostatics.