## 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 problemsSolved problems related to the concepts introduced above. Advanced concepts in Electrostatics and Electromagnetism ( Theory only )Advanced concepts related to electrostatics and electromagnetism (theory only).