SUMMARY
The electric potential outside a spherical conductor is defined by the equation V = keQ/r, where ke is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere. To derive the electric field (E) from this potential, the relationship Er = -dV/dr must be applied. The correct derivative of V results in E = keQ/r², confirming that the electric field outside the spherical conductor decreases with the square of the distance from the center.
PREREQUISITES
- Understanding of electric potential and electric fields
- Familiarity with calculus, specifically differentiation
- Knowledge of Coulomb's law and constants
- Concept of spherical symmetry in electrostatics
NEXT STEPS
- Study the derivation of electric fields from potentials in electrostatics
- Learn about Coulomb's law and its applications in electric field calculations
- Explore the concept of electric field lines and their representation
- Investigate the effects of charge distribution on electric potential and field
USEFUL FOR
Physics students, electrical engineers, and anyone studying electrostatics or electric field theory.