What is the force between hemispheres of a charged solid sphere?

00:34 Hint given | 01:17 Solution starts | 08:10 Using COM | 11:34 Answer

Question ES1L3: Concepts used in solution

Electric field inside sphere | Spherical coordinates | Center of mass

Elemental volume in spherical coordinate system

Problem statement

What is the net force on the northern hemisphere due to the southern hemisphere of a uniformly charged solid sphere of radius R and the total charge Q? Could this problem be solved using the position of the center of mass of the hemisphere?

What is the direction of the electric field inside a charged hemispherical shell?

Video solution to electric field inside charged hemispherical shell

Question ES1L1: Concepts used in solution

Shell theorem | Superposition principle | Vector addition

Problem statement

The electric field at point P(0,y) inside a positively charged hemispherical shell of radius R, is given to be E. What is the field at the point Q(0, -y)? What is the direction of the y-component of the electric field at any general point G inside the hemisphere? What is the direction of the horizontal component of the electric field at any point B on the base surface?