Instantaneous energy of resonator

A rectangular resonator consists of metal walls and a material filling it. The resonator is capable of storing energy. The instantaneous value of the resonator energy depends on its quality factor, initial energy value, time and angular frequency.

instantaneous_energy

Instantaneous energy of the resonator.

Symbol:

E

Latex:

$E$

Dimension:

energy

initial_energy

Initial energy of the resonator.

Symbol:

E_0

Latex:

$E_0$

Dimension:

energy

time

time at which instantaneous_energy is measured.

Symbol:

t

Latex:

$t$

Dimension:

time

angular_frequency

angular_frequency of the current.

Symbol:

w

Latex:

$\omega$

Dimension:

angle/time

quality_factor

quality_factor of the resonator.

Symbol:

Q

Latex:

$Q$

Dimension:

dimensionless

law

E = E_0 * exp(-w * t / Q)

Latex:

$$E=E_0\exp (-\frac{\omega t}{Q})$$