Physics · D.2 Electric and Magnetic Fields

Coulomb's Law and Electric Charge

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IB DP Physics — Unit D: Fields | SL & HL | D.2 Electric and Magnetic Fields

📋 What You Will Learn

  • Observe and describe the phenomenon of electrostatic force between charged objects using real-world examples and physical setups
  • Define electric charge, the elementary charge, and the principle of conservation of charge with IB-aligned precision
  • Derive Coulomb's Law from the concept of point charges and identify all variables and their units
  • Apply Coulomb's Law to calculate the magnitude and direction of electrostatic forces between point charges
  • Analyse how the electrostatic force changes with separation distance and charge magnitude using graphs and proportionality reasoning
  • Evaluate common misconceptions about charge, force direction, and the inverse-square relationship, and connect this topic to electric fields and gravitational fields

🌍 Real-World Context On a dry winter day, you pull a woollen jumper over your head and hear a faint crackling sound — sometimes you even see tiny sparks in the dark. When you then reach for a metal door handle, you feel a sharp sting. Rub a balloon against your hair and it will stick to the wall without any adhesive. These everyday experiences are not magic: they are the result of electric charges being transferred between objects, creating forces that can attract or repel across empty space. The force responsible for holding atoms together, for the sensation of touch, and for the operation of every electronic device you have ever used is the electrostatic force — and understanding it begins with Coulomb's Law.

🔍 Guiding Question How does the electrostatic force between two charged objects depend on the magnitude of the charges and the distance between them, and how does this relationship compare to the gravitational force between two masses?

Physical Setup and Diagram

Imagine two small, charged spheres suspended in air, separated by a distance \( r \). If both spheres carry charges of the same sign — both positive or both negative — they push each other apart. If they carry opposite signs, they pull each other together. The force acts along the straight line joining the two charges, and it acts on both charges simultaneously: the force on charge 1 due to charge 2 is equal in magnitude but opposite in direction to the force on charge 2 due to charge 1, consistent with Newton's third law.

Notice from the diagram that the force is always directed along the line joining the two charges. The magnitude of the force is the same on both charges regardless of whether one charge is larger than the other — this is a direct consequence of Newton's third law. As the separation \( r \) increases, the force weakens; as the charges are brought closer together, the force grows stronger. The precise mathematical relationship between force, charge, and separation is what Coulomb's Law describes.

Core Concepts and Definitions

Before we can write any equation, we need to understand what electric charge actually is. Matter is made of atoms, and atoms contain protons (positively charged), neutrons (neutral), and electrons (negatively charged). Normally, objects have equal numbers of protons and electrons and are electrically neutral. When electrons are transferred from one object to another — for example, by rubbing — one object gains extra electrons (becomes negatively charged) and the other loses electrons (becomes positively charged). The total amount of charge in the system is conserved throughout this process.

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