Gravitational Potential of a Spherical Shell – Full Derivation (hollow sphere)

In this lecture, we derive the gravitational potential due to a spherical shell (hollow sphere) using classical mechanics principles. • This is a fundamental topic in gravitation and frequently asked in BSc and MSc Physics examinations. • We discuss the potential: Outside the shell On the surface Inside the shell ━━━━━━━━━━━━━━━━━━━━━━ 📌 Concepts Covered • Definition of gravitational potential • Difference between gravitational field and potential • Newton’s Shell Theorem • Potential outside spherical shell • Potential on the surface • Potential inside hollow sphere • Graph of potential vs distance • Even though gravitational field inside is zero, gravitational potential is NOT zero. • Potential remains constant throughout the interior. • This result follows from Newton’s Shell Theorem. 📊 Graph Explanation • Outside → potential varies as 1/r • Inside → constant line • At r = R → smooth transition This makes the potential graph continuous. 🎯 Why This Topic Is Important • Very important conceptual question • Frequently asked in university exams • Base for solid sphere derivation • Essential for astrophysics • Important in electrostatics analogy 👍 Support the Channel • Like the video 👍 • Share with classmates • Comment your doubts • Subscribe for BSc & MSc Physics lectures • Turn on bell notification 🔔 Your support motivates more advanced physics content. #GravitationalPotential #SphericalShell #HollowSphere #Gravitation #ClassicalMechanics #BScPhysics #MScPhysics #ShellTheorem #PhysicsLecture #UniversityPhysics