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Electromagnetism is a fundamental force governing electric and magnetic fields. This module explores the theoretical foundations, mathematical formulations, and real-world applications of electromagnetism in circuits, energy generation, and modern technologies.
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Module: Electromagnetism and Its Applications Module Overview Electromagnetism is a fundamental force governing electric and magnetic fields. This module explores the theoretical foundations, mathematical formulations, and real- world applications of electromagnetism in circuits, energy generation, and modern technologies. Learning Objectives By the end of this module, you should be able to:
the sphere using Gauss’s Law. Unit 2: Magnetic Fields and Forces Lorentz Force : Motion of charges in magnetic fields. Biot-Savart Law & Ampère’s Law : Magnetic fields due to currents. Motion of Charged Particles : Helical motion in uniform magnetic fields.
Magnetic Materials : Diamagnetic, paramagnetic, and ferromagnetic materials. Example Problem: A proton moves with velocity v perpendicular to a uniform magnetic field B. Determine its circular path radius. Unit 3: Electromagnetic Induction Faraday’s Law : Induced EMF and changing magnetic flux. Lenz’s Law : Direction of induced current. Motional EMF : Conductors moving in magnetic fields. Self-Inductance & Mutual Inductance : Inductors and transformers. Example Problem: A rectangular loop enters a uniform magnetic field with velocity v. Determine the induced EMF as a function of time. Unit 4: Circuits and Applications Ohm’s Law & Kirchhoff’s Laws : Analyzing simple and complex circuits. RC, RL, and RLC Circuits : Transient and steady-state analysis. Alternating Current (AC) Circuits : Impedance, reactance, and power. Transformers & Power Transmission : Step-up and step-down transformers. Example Problem: A resistor, inductor, and capacitor are connected in series in an AC circuit. Derive an expression for the total impedance. Unit 5: Maxwell’s Equations and Electromagnetic Waves Maxwell’s Four Equations : Integral and differential forms. Electromagnetic Wave Propagation : Wave equation and speed of light. Applications : Radio waves, wireless communication, and optical fibers. Example Problem: Derive the speed of electromagnetic waves in free space using Maxwell’s equations.