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Physics — Electricity & Magnetism

Calculus-based electricity and magnetism — electric fields, potential, capacitance, current, magnetic fields, induction, Maxwell's equations, and optics. The physical foundation for Electrical Circuits.

8 modules·57 concepts·92 practice problems·~45 hours

Prerequisites

Exam Relevance

FE Exams2 exams
FE General6% of exam
FE Electrical5% of exam
AP Exams2 exams
AP Physics C: E&M100% of exam
AP Physics 265% of exam
University Exams1 exam
University Physics II100% of exam

Module Breakdown

1.Electric Charge & Electric Field

9 concepts·16 problems

Apply Coulomb's law to compute electric forces between point charges and determine the electric field they produce. Analyze charge motion in uniform fields and the behavior of conductors in electrostatic equilibrium.

9 concepts covered
Coulombs LawElectric ForceInverse Square LawElectric Field DefinitionElectric Field From Point ChargesMotion Of Charges In FieldsProjectile MotionConductors In Electrostatic EquilibriumPermittivity

2.Gauss's Law

5 concepts·6 problems

Calculate electric flux through closed surfaces and apply Gauss's law to find electric fields for charge distributions with spherical, cylindrical, and planar symmetry.

5 concepts covered
Electric FluxGauss Law StatementGauss Law Spherical SymmetryGauss Law Cylindrical SymmetryGauss Law Planar Symmetry

3.Electric Potential & Capacitance

9 concepts·14 problems

Relate electric potential energy and voltage to the electric field. Compute capacitance for parallel-plate geometries, combine capacitors in series and parallel, and calculate stored energy.

9 concepts covered
Electric PotentialElectric Potential EnergyPotential Difference And VoltagePotential From Point ChargesConservation Of EnergyCapacitanceCapacitor Definition And Parallel PlatesCapacitors In Series And ParallelEnergy Stored In Capacitor

4.Current, Resistance & DC Circuits

7 concepts·11 problems

Apply Ohm's law and compute resistivity, electrical power, and the effects of temperature on resistance. Analyze circuits with EMF sources, internal resistance, and RC transient behavior.

7 concepts covered
Resistance And Ohms LawResistivity And ConductivityTemperature Dependence Of ResistanceElectrical PowerEmf And Internal ResistanceRc Circuits ChargingRc Circuits Discharging

5.Magnetic Fields & Forces

7 concepts·14 problems

Calculate the Lorentz force on moving charges and current-carrying conductors. Determine magnetic fields from straight wires, loops, and solenoids, and compute magnetic flux and torque on current loops.

7 concepts covered
Lorentz ForceCharged Particle Circular MotionMagnetic Force On CurrentTorque On Current LoopMagnetic Field Straight WireMagnetic Field Loop SolenoidMagnetic Flux

6.Electromagnetic Induction

7 concepts·14 problems

Apply Faraday's law and motional EMF to induction problems. Analyze self-inductance, energy stored in inductors, RL circuit transients, and the displacement current that completes Maxwell's equations.

7 concepts covered
Faradays Law Of InductionMotional EmfGenerators And TransformersSelf InductanceEnergy Stored In InductorRl CircuitsDisplacement Current

7.Electromagnetic Waves

6 concepts·12 problems

Describe the properties of electromagnetic waves across the spectrum. Calculate energy transport using the Poynting vector, and analyze radiation pressure and polarization of light.

6 concepts covered
Properties Of Em WavesEm SpectrumPoynting Vector Em Wave EnergyEm Wave Energy Momentum SynthesisRadiation PressurePolarization Of Light

8.Optics

7 concepts·14 problems

Apply Snell's law, total internal reflection, and the mirror and lens equations to image formation. Analyze interference and diffraction in double-slit, single-slit, and thin-film setups.

7 concepts covered
Refraction And Snells LawTotal Internal ReflectionCurved Mirrors And Mirror EquationThin Lenses And Lens EquationYoungs Double Slit ExperimentSingle Slit DiffractionThin Film Interference

Reference Textbooks

  • Griffiths — Introduction to Electrodynamics
  • Serway — Physics for Scientists & Engineers Vol. 2

Ready to practice Physics E&M?

92 practice problems with step-by-step solutions. Free, no credit card.