Charges Inside a Conducting Sphere?

📌 CONCEPT: A conducting sphere maintains its electric potential and surface charge distribution at equilibrium, regardless of the charge placed inside it, provided the sphere remains grounded or isolated from other charges.

📐 RULE / FORMULA: According to the principle of electrostatic equilibrium in a conductor, the potential at every point inside and on the surface of the conductor is the same.

💡 WORKED EXAMPLE: Suppose we have a conducting sphere with a radius of 2 m and a charge of 4 mC uniformly distributed on its surface. When we place a charge of +2 mC at its center, the sphere will redistribute its charge to maintain its potential at equilibrium. The total charge on the sphere's surface remains 4 mC, but the charge distribution will change to counteract the effect of the positive charge at the center.

⚠️ COMMON MISTAKE: Students may assume that the positive charge placed inside the sphere will cause a significant increase in the surface charge, but in reality, the sphere will redistribute its charge to maintain electrostatic equilibrium.