Physics: Derivations, Proofs and Experiments

Derivation of the total inductance (equivalent inductance) of a parallel circuit and series circuit of two coils using the Faraday's law of induction.

Derivation of the magnetic field (B-field) of a coaxial cable, inside and outside, by exploiting Ampere's law.

Derivation of allowed energies and associated wave functions inside and outside a one-dimensional finite potential box.

Here we derive the double-slit formula, which you can use, for example, to find the wavelength of light using a double-slit experiment.

Here you will learn how to derive Coulomb's law for two point charges from divergence theorem and Maxwell's first equation.

In this derivation, the magnetic field inside a long coil is calculated using Ampere's law when N, l, and I are given.

Derivation of the homogeneous magnetic field in the center (on the symmetry axis) of the Helmholtz coil with radius R and distance d.

Derivation of the displacement current as a correction to the fourth Maxwell equation. For this purpose we use a plate capacitor.

Derivation of the formula for wavelength for the Compton scattering, where a photon collides with an electron.

Derivation of the Hall voltage (via Hall effect), which depends only on quantities that we can easily determine in an experiment.