Calculus-Based Physics: Electricity and Magnetism

Understanding electricity and magnetism requires more than just memorizing formulas; it demands a solid grasp of how calculus applies to physical fields and forces. This course provides the rigorous foundation necessary to succeed in technical physics. By the end of this course, you will be able to analyze complex electric circuits, calculate electric and magnetic fields using Gauss's and Ampère's Laws, and solve problems involving induction and electromagnetic waves, applying both differential and integral calculus confidently. What you'll learn: * Understand the fundamental concepts of charge, electric fields, and potential, utilizing integral calculus (e.g., line integrals). * Apply Gauss's Law and Ampère's Law to derive electric fields and magnetic fields for various high-symmetry distributions. * Analyze DC circuits involving resistors, capacitors, and inductors, including time-dependent behavior (RC and RL circuits). * Master the principles of magnetic forces, magnetic flux, and Faraday's Law of Induction, including Lenz's Law for directionality. * Practice solving complex, multi-step physics problems that integrate concepts from mechanics and electromagnetism. * Configure the underlying relationships between electric and magnetic fields through an introduction to the structure of Maxwell's equations. The course begins with foundational definitions of charge and field theory, progresses systematically through electrostatics and circuit analysis, and concludes with the study of magnetism, induction, and fundamental electromagnetism principles. The entire curriculum is delivered through detailed written explanations and worked examples. This course is designed for serious beginners who have a strong background in single-variable differential and integral calculus and are starting their study of rigorous introductory physics. No prior physics coursework is required, but mathematical readiness is essential. Start reading today to build your analytical skills in electricity and magnetism.