Final answer:
The value of W, or work done, in terms of q (charge) and delta(V) (voltage change) is given by the equation W = qV, where V represents the voltage difference between two points in a uniform electric field.
Step-by-step explanation:
To determine the value of W in terms of q and delta(V), we look at the relationship between these variables within the context of physics and work done by an electric field.
Work done (W) by electric forces is defined as W = qEd, where q represents the electric charge, E represents the electric field strength, and d represents displacement.
Furthermore, the voltage (V) is related to the electric field (E) and displacement (d) by the equation V = Ed. By substituting into the equation for work, we get W = qV, which means work done is equal to the product of the charge and voltage change.
When considering a uniform electric field, VAB, which is the voltage between two points A and B, is given by VAB = Ed. Given that d is the separation between these points, we can substitute back into the work equation to show that W = qVAB.
Therefore, the work is directly proportional to the charge (q) and the voltage between points A and B (delta(V) or VAB). This is under the assumption that the electric field is uniform, and the path of the charge is parallel to the electric field vectors, so that the cosine of the angle θ is 1.