ELM-002 · Electrostatics Sample material

Gauss's theorem. Electric potential

The electric displacement (induction) vector and its flux, Gauss's theorem and its use for calculating symmetric fields, work in an electrostatic field, potential, potential difference, potential gradient and the potential of a sphere.

Estimated time: 3 h 5 activities

Learning objective

Master the concept of the flux of the field-strength and displacement vectors.
State Gauss's theorem and apply it to calculate the fields of symmetric charge distributions.
Understand that the electrostatic field is conservative (work does not depend on the path).
Study the relation between potential, potential difference and field strength (E = −grad φ).

Expected outcomes

Can calculate the flux of the field strength and displacement vector through a closed surface.
Can find the field of an infinite plane, two planes, a sphere, a ball and an infinite thread using Gauss's theorem.
Can calculate the work done by the field in moving a charge from the potential difference.
Can determine the potential and field strength inside and outside a charged sphere.

Interactive modelEquipotential surfaces and the work of the field

Activities

Lecture
Lecture · 1 h 20 min · required
Solving problems on the electric displacement vector and the electrostatic induction vector
Practice · 1 h 20 min · required
Calculation of the electric field
Self-study · 6 h · optional
Calculation of the potential of a sphere
Self-study · 6 h · optional
Final test
Test · 20 min · required · pass ≥ 70%

Completion conditions

  • Lecture
  • Solving problems on the electric displacement vector and the electrostatic induction vector
  • Final test — at least 70%