# Physics: Derivations, Proofs and Experiments

Do not you think that a math formula is right or do you doubt any statement of a theory? Here you can eliminate your scientific doubt by formal reasoning (mathematical proofs, derivations) or empirical reasoning (experiments, studies).
Derivation
Level 2 (without higher mathematics)

## Phase Velocity of a Wave

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

Derivation
Level 3 (with higher mathematics)

## Magnetic Dipole - Torque, Energy and Force

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

Derivation
Level 3 (with higher mathematics)

## Capacitance - Series and Parallel Connection of Capacitors

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

Derivation
Level 2 (without higher mathematics)

## Head-on Elastic Collision and its 4 Special Cases

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

Derivation
Level 3 (with higher mathematics)

## Plate Capacitor: Potential, E-field, Charge and Capacitance

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

Derivation
Level 2 (without higher mathematics)

## Time Dilation By Using a Light Clock

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

Derivation
Level 3 (with higher mathematics)

## Uncertainty Relation Using a Single Slit

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.