IB HL Physics Tetrahedron Problems

A sheet of questions where the objects are placed at the sides of a tetrahedron.

  1. Six resistors R are placed as the sides of a regular tetrahedron. Show that the total resistance across two corners of the tetrahedron is R/2.
  2. Four point charges Q are placed at the vertices of a regular tetrahedron of side a. Show that the magnitude of the resultant force acting on one of the charges is √6 x the force between two of the charges.