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Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
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Applications of Gauss's law: Electric Field Calculations Simplified
Simplifies electric field calculations using Gauss's law and symmetry arguments.
Gauss's Law: Charges, Electric Flux, and Field Evaluation
Explores Gauss's law, electric flux evaluation, Gaussian surfaces, and field simplification using symmetry arguments.
Electric Flux and Gauss' Law
Explores electric flux, Gauss' law, and their applications in multiple charge scenarios.
Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions
Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.
Paradoxes with Coulomb's and Ampère's forces. Gauss's Law
Delves into paradoxes with Coulomb's and Ampère's forces, leading to the derivation of Gauss's Law from Maxwell's equations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.