Introduction to Electromagnetism
Understanding the fundamentals of electromagnetism through theoretical concepts and simulations
This module introduces key concepts in electromagnetism, such as electrostatics, magnetostatics, and slowly time-varying electromagnetic fields. Through a series of MATLAB and ANSYS simulations, the module explores charge distribution, magnetic fields, and induced electromotive forces in different physical systems.
Key assignments and simulations
Electrostatics: Surface Charge Distribution
This assignment focused on understanding surface charge distribution in a system of concentric cylinders. Using Gauss’ Law, the charge and electric field distributions were calculated, and the results were validated through ANSYS simulations. The impact of varying material properties and wire thickness on the electric field and voltage were also investigated.(Homework 1)
Magnetostatics: Time-Invariant Magnetic Fields
Explored magnetic flux density in semi-circular conductors using Biot-Savart law and compared analytical results to ANSYS simulations. This assignment involved modeling the magnetic field and force acting on conductors, investigating the effects of material properties and configurations on the magnetic field.(Homework 2)
Slowly Time-Varying Electromagnetic Fields
Focused on the calculation of induced electromotive forces (EMF) in a solenoid-coil system. MATLAB simulations were used to plot EMF as a function of the number of solenoid turns, coil turns, and current frequency, revealing the relationships between these parameters.(Homework 3)
Final Exam: Theory and Simulation
The final exam was divided into two parts: theoretical questions and simulation exercises.
Theoretical Analysis
Topics covered included electrostatic force calculations for suspended charged particles, electric field strength for concentric spheres, and induced currents in nearby conductive loops. Each problem required applying core concepts like Coulomb's Law, Gauss' Law, and Faraday's Law to solve practical scenarios involving spherical charges, loops, and dielectric media.Simulation Exercise
The simulation involved modeling a system of conductors and analyzing the distribution of charge and voltage. The results were compared to theoretical predictions made during the exam. Using ANSYS, the model demonstrated how varying material properties and conductor geometry affected the electric field distribution.
This module provided a comprehensive introduction to electromagnetism, emphasizing both theoretical and practical approaches. Through a combination of analytical calculations and simulation tools like MATLAB and ANSYS, the assignments deepened understanding of charge distribution, magnetic fields, and induced EMF in various systems.