Final answer:
The potential difference between two points in an electric field can be calculated using the equation ΔV = -E (xf - xi), provided the electric field strength E is known and constant between the points. Without the electric field strength, additional information is needed to calculate the potential difference.
Step-by-step explanation:
To calculate the potential difference between two points in an electric field, we can use the equation ΔV = -E (xf - xi), where E is the electric field strength, xi is the initial position, and xf is the final position. Assuming that we know the electric field strength E and it is constant between the points xi = -10 cm and xf = 60 cm, we would plug these values into the formula to find the potential difference. If E is not given, we cannot calculate the potential difference without additional information.
However, the information provided in the examples from the question reference suggests that this equation has been used in different contexts, such as determining the electric field at points between charged plates or around charged objects. Those are different scenarios compared to finding the potential difference between two points on a straight line in an electric field. For instance, when the electric field between two parallel conducting plates is known, we can use the equation to find the potential difference between two points within the field. The potential difference between points A and B would depend on the electric field strength and the distance between the points along the field line.