Laws and Theorems

Isaac Newton's laws:

1st "Every body remains in its state of rest or uniform movement in a straight line, unless it is forced to change that state by forces applied on it."

2nd "The change in movement is proportional to the printed motor force and is produced in the direction of a straight line in which that force is applied."

FR - Resulting force (N or kg.m / s²)
m - body mass (kg)
a - acceleration (m / s²)

3rd "Every action has an opposite reaction and of equal intensity: the mutual actions of two bodies on each other are always the same and directed in opposite directions."

Pythagorean theorem:

"The sum of the opposite sides is equal to the square hypotenuse."

Origin of formula:

C1² + C2² = H²

It applies to the sum of powers:

PT² = PA² + PR²

Where:

PT = Total Power

PA = Active Power

PR = Reactive Power

Ohm's laws:

1st "In an electrical conductor of constant resistance, maintained at a constant temperature, the intensity of the electric current will be proportional to the potential difference applied between its ends."

Origin of formula: I = V / R

And conclusions for the following formulas:

Where:

R = Resistance measured in Ohms

P = Power measured in Watts

I = Current measured in Amps

V = Voltage measured in Volts

2nd "The electrical resistance of a material is directly proportional to its length, inversely proportional to its cross-sectional area."

Where:

R: resistance (Ω)
ρ: conductivity resistivity (depends on the material and its temperature, measured in Ω.m)
L: length (m)
A: cross-sectional area (mm²)

Kirchhoff's laws:

1st Law of Nodes: "The sum of the currents that arrive at a node is equal to the sum of the currents that leave it."

2nd Mesh Law: “When we run through a mesh in a given direction, the algebraic sum of the potential differences is equal to zero.”