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Formulary

The following table contains the mathematical formulas and the physical conformities used at these pages

Mechanics

Chapter no. Formula Comment
[2.1a]

[2.1b]

[2.1c]




Constant speed
[2.2a]

[2.2b]

[2.2c]




Constant acceleration
[2.3a]

[2.3b]

[2.3c]




Constant acceleration
[2.4a]

[2.4b]

[2.4c]




Constant acceleration
[2.5]


Kinetic friction
[2.6]


Static friction
[2.7a]

[2.7b]

[2.7c]




Static friction
[2.8a]

[2.8b]

[2.8c]




Kinetic friction
[2.9]


Drag coefficient
[2.10]


Mechanical work
[2.11]


Potential energy
[2.12]


Kinetic energy
[2.13a]

[2.13b]



Power
[2.14]


Torque
[2.15a]

[2.15b]

[2.15c]




Power and acceleration
[2.16]


Power and drag
[2.17]


Power and potential energy

Electrical engineering

Chapter no. Formula Comment
[3.1]


Force between point charges
[3.2]


Potential energy caused by point charges
[3.3]


Voltage
[3.4]


Charge
[3.5]


Energy stored inside of a capacitor
[3.6a]

[3.6b]



Electric current
[3.7]


Resistance
[3.8]


Electric power
[3.9]


Series resistance
[3.10]


Total voltage accross resistors conmnected in series
[3.11]


Total power accross resistors conmnected in series
[3.12]


Total resistance of a parallel circuit
[3.13]


Total current through a parallel circuit
[3.14]


Total power accross a parallel circuit
[3.15]


Magnetic flux density
[3.16]


Lorentz force
[3.17]


Magnetic field strength
[3.18]


Magnetic field of a point charge
[3.19]


Magnetic flux density of a point charge
[3.20]


Magnetic field of a straight wire
[3.21]


Magnetic field of an inductor
[3.22]


Relative permeability
[3.23]


Electromotive force (EMF)
[3.24]


Electromotive force accross an inductor.
[3.25]


AC voltage
[3.26]


Frequency
[3.27]


AC voltage
[3.28]


Magnetic flux
[3.29]


Inductance
[3.30]


Current through an inductor
[3.31]


Charging procedure of a capacitor
[3.32]


Voltage across a capacitor
[3.33]


Current through a capacitor
[3.34]


Current through an inductor
[3.35]


Voltage accross an inductor
[3.36]


"Discharging" an inductor
[3.37]


"Discharging" an inductor
[3.38]

Electric energy
[3.39]

Electric energy stored inside an inductor
[3.40]

Magnetic energy density
[3.41]

Magnetic energy density
[3.42]

Frequency of a LC oscillator
[3.43]

Frequency of a LC oscillator
[3.44]

Biot-Savart law
[3.45]

Biot-Savart law
[3.46]

Biot-Savart law

Electric motors

Chapter no. Formula Comment
[4.1]

Copper loss
[4.2]

Resistivity
[4.3]

Efficiency
[4.4]

Torque
[4.5]

Torque and work
[4.6]

Rotational speed
[4.7]

Mechanical power output of an electric motor

Electrochemistry

Chapter no. Formula Comment
[5.1]

Capacity of a battery

Heat engines

Chapter no. Formula Comment
[6.1]

Compression ratio

Semiconductors

Chapter no. Formula Comment
[7.1]

Stromverstärkungsfaktor eines Bipolartransistors
[7.2]

Spannungsverstärkung eines Operationsverstärkers mit negativer Rückkopplung
[7.3]

Schmitt-Trigger

Metrology

Chapter no. Formula Comment
[8.1]

Numeric value of measurement
[8.2]

F = Xm - Xc

Absolute error
[8.3]

Relative error

Basic circuits

Chapter no. Formula Comment
[9.1]

τ = R * C

Time constant
[9.2]

Cut off frequency
[9.3]

Phase angle
[9.4]

[9.4]     T = ln(2)RC

Astable multivibrator
[9.5]

Integrator circuit
[9.6]

Capacitor
[9.7]

Capacitor
[9.8]

Integrator circuit
[9.9]

Integrator circuit
[9.10]

Differentiator circuit



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