IPhO Electricity & Magnetism

IPhO E&M hub: electrostatics, magnetostatics, and circuit techniques with symmetry and approximation-first thinking.

  • International Physics Olympiad preparation
  • 6 lessons

Before you begin

IPhO E&M problems often look complicated because the geometry is complicated. The winning move is usually to spot symmetry, choose the right surface or loop, or reduce a circuit to one equivalent element.

Be comfortable with: A-Level electric fields, current electricity, D.C. circuits, electromagnetic forces and electromagnetic induction, and the IPhO problem-solving framework.

Learning goals
  • Apply electricity & magnetism models and problem-solving methods in competition settings.

Lessons

Work through them in order.

Build the bridge

  1. Electrostatics with Symmetry (IPhO)Use symmetry to choose Gaussian surfaces, find fields quickly and check them against limits.

Build the official core

  1. Capacitance, Energy & Method of Images (IPhO E&M)Find capacitance from geometry, forces from energy, and fields near grounded conductors by the method of images.
  2. Circuit Reduction: Thevenin & Norton (IPhO)Reduce a network to its Thévenin or Norton equivalent and check the result with limiting cases.
  3. Magnetostatics: Ampere & Biot-Savart (IPhO E&M)Choose between Ampère's law and Biot–Savart to find magnetic fields and forces quickly.

Transfer to unfamiliar problems

  1. RC/RL Transients & Impedance Tricks (IPhO E&M)Solve RC and RL switching problems by finding the time constant, and use impedance shortcuts for a.c.
  2. Induction & Flux Tricks (IPhO E&M)Apply Faraday's law, motional e.m.f. and inductance, and check induction results with energy.

Practise and check

Topic reference

What you should be able to do

  • Use symmetry to choose a field method and state why the field has the required direction or constancy.
  • Reduce electrostatic and circuit systems using potentials, energy, equivalent sources and time-scale reasoning.
  • Apply magnetic-force, Ampere, Biot-Savart and induction ideas with consistent directions, signs and limiting checks.

Official scope: Stages selected electrostatics, circuits and magnetic-field methods from the official electromagnetic-field coverage.

Training habits

  • Before touching equations, write down what symmetry you have.
  • For circuits, derive the equivalent, then sanity-check limiting cases.