Physics: Derivations, Proofs and Experiments

A simple derivation of the phase velocity of a wave from the definition of the wavelength and the period.

Derivation of the centripetal (radial) acceleration for a uniform circular motion. It is then related to the centripetal force.

Derivation of the potential energy (potential), torque and force on a magnetic dipole - expressed with the magnetic dipole moment.

Derive the total capacitance (equivalent capacitance) of a parallel circuit and a series circuit of two capacitors in an AC circuit.

Derivation of the moment of inertia of a homogeneous hollow cylinder and a solid cylinder rotating around its axis of symmetry.

Derivation of the velocity formula for the elastic head-on collision of two different masses using conservation of momentum and conservation of energy.

Here, the electrostatic potential, electric field and the capacitance of a plate capacitor are derived using Laplace's equation.

Here we derive length contraction from special relativity using the time dilation derived previously.

With the help of a light clock, the deceleration of time in the moving system can be derived by using only Pythagoras' theorem.

Derivation of the Heisenberg uncertainty relation for momentum and position using a single slit through which many electrons pass and for which the De Broglie relation holds.