To find the points along the x-axis where the electric potential is zero due to two charges, a 3μC charge at 14 cm and a -4μC charge at 15 cm, one must consider the scalar nature of electric potential. The potential at a point is determined by the distances from that point to each charge, leading to the equation V1 = -V2 for points between and outside the charges. The discussion emphasizes solving for the distances in relation to the charges and suggests examining three cases: between the charges and on either side. The potential will be zero where the contributions from both charges cancel each other out. Understanding the relationship between charge, distance, and potential is crucial for finding these zero potential points.
