Physics
Physics
Problem
A uniform electric field of magnitude is directed vertically downward. A point charge is fixed at the origin. (i) Determine the magnitude and direction of the net electric field at the point located to the right of the charge. (ii) Determine the magnitude and direction of the net electric field at the point located above the charge. (iii) Between the points and , which one experiences the stronger net field? Give a brief reason based on your calculations.Intuitive explanation
The key is to recognize that the net field at any point is the vector sum of two contributions: the uniform downward field and the field created by the point charge itself. The point charge's field direction depends on its sign—a negative charge creates a field pointing toward it. Set up a coordinate system, calculate the magnitude of the charge's field using Coulomb's law, determine its direction at each location, then add the vectors component-wise to find the net result.
Intuitive explanation
The key is to recognize that the net field at any point is the vector sum of two contributions: the uniform downward field and the field created by the point charge itself. The point charge's field direction depends on its sign—a negative charge creates a field pointing toward it. Set up a coordinate system, calculate the magnitude of the charge's field using Coulomb's law, determine its direction at each location, then add the vectors component-wise to find the net result.