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Intermediate · 9 Topics
Electricity & Magnetism
Electrostatics, magnetostatics, dielectrics, magnetic materials, electromagnetic induction, and Maxwell's equations at the intermediate level.
1
Vector Calculus for EM
The divergence, curl, gradient, and their integral theorems — the mathematical language of electromagnetism.
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2
Gauss's Law & Electrostatics
Gauss's law in integral and differential form, symmetric charge distributions, and Poisson's equation.
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3
Electric Potential & Energy
Scalar potential, work and energy in electrostatics, boundary conditions, and the method of images.
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4
Dielectrics & Polarization
Polarization, bound charges, the displacement field D, and dielectric boundary conditions.
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5
Magnetostatics & the Biot-Savart Law
Magnetic fields from steady currents, Biot-Savart law, Ampere's law, and the vector potential.
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6
Electromagnetic Induction
Faraday's law, Lenz's law, self- and mutual inductance, and energy in magnetic fields.
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7
Maxwell's Equations
Maxwell's four equations, the displacement current, the continuity equation, and the prediction of electromagnetic waves.
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8
Electromagnetic Waves in Matter
Wave equations in media, reflection, transmission, dispersion, and the Fresnel equations.
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9
Magnetic Materials
Magnetization, bound currents, the H field, diamagnets, paramagnets, ferromagnets, and hysteresis.
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