# 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)

## 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 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.

Mathematical proof
Level 3 (with higher mathematics)

## First and Second Green's Identity

Proof of the two Green's identities (formulas) using the Gauss integral theorem, which are useful in the calculation of some electric potentials.

Derivation
Level 3 (with higher mathematics)

## Total (Equivalent) Inductance of a Series and Parallel Circuit of Coils

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