Advanced concepts in Electrostatics and Electromagnetism (Theory) - Co-ordinate Systems and Vector Calculus, Electric and Magnetic Fields in matter, Electrodynamics

Advanced concepts in Electrostatics and Electromagnetism (Theory) - Co-ordinate Systems and Vector Calculus, Electric and Magnetic Fields in matter, Electrodynamics


Here's a quick outline of the formulas and definitions introduced in this tutorial.


This tutorial contains theory, definitions and fomulas (only).
At this point, we start to explore electrostatics and electromagnetism in a more advanced manner, using Vector Calculus.

Co-ordinate Systems and Vector Calculus

Polar Co-ordinates, Cylindrical Co-ordinate, Spherical Co-ordinates, Divergence , Laplacian, Curl and Grad .
Then we re-introduce the basic concepts in electrostatics represented in vector/vector calculus form. Poisson's and La-Place's equations. 

Electric Fields in matter

Dielectrics, Magnetostatics and Magnetic fields in matter, Linear Dielectrics, Force on a dielectric, Energy of a dielectric.


Magnetostatics and Magnetic fields in matter

Lorentz force, Continuity equation, Biot-Savart Law, Ampere’s Law, Magnetic Vector Potential, Force on a current carrying loop, Torque and magnetic dipole, Magnetization and Bound currents  

Electrodynamics

Faraday's Law about current induced by changing flux in a closed wire loop, Energy in magnetic field, Displacement Current - 
Similar to the induced elecric field due to changing magnetic field, magnetic 
field is also induced due to changing electric field, Maxwell’s equations


Complete Tutorial :




In case you'd like to look through our other tutorials on Electrostatics and Electromagnetism :

 Electrostatics - Part 1: Theory, definitions and problems
 Columb's law. Electric Field Intensity, principle of superposition, gauss theorem, electrostatic potential, electric field intensities due to common charge distributions, capacitors and calculating capacitance. Solved problems.  

Electrostatics - Part 2: More solved problems.
More solved problems related to the concepts introduced above. 		Electromagnetism - Part 1: Theory and Definitions
 Lorentz Force, Bio-Savart law, Ampere's force law, basic laws related to Magnetic fields and their applications. Magnetic field intensities due to common current distributions. Electromagnetic Induction. Self and mutual induction. 		Electromagnetism - Part 2: Solved problems
Solved problems related to the concepts introduced above. 
 Advanced concepts in Electrostatics and Electromagnetism ( Theory only )
Advanced concepts related to electrostatics and electromagnetism (theory only).

 



 


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