Instantaneous energy of electric field¶
There is an oscillatory circuit with alternating current. Then the energy of the electric field will depend on the inductance, the maximum value of the current, the angular frequency of the current, the time and the initial phase.
- Symbol:
E- Latex:
\(E\)
- Dimension:
energy
- inductance¶
inductanceof the coil.
- Symbol:
L- Latex:
\(L\)
- Dimension:
inductance
- Symbol:
I_max- Latex:
\(I_\text{max}\)
- Dimension:
current
- angular_frequency¶
angular_frequencyof the current.
- Symbol:
w- Latex:
\(\omega\)
- Dimension:
angle/time
- Symbol:
t- Latex:
\(t\)
- Dimension:
time
- initial_phase¶
Initial
phase_shiftof the oscillations.
- Symbol:
phi- Latex:
\(\varphi\)
- Dimension:
angle
- law¶
E = L * I_max^2 / 2 * cos(w * t + phi)^2- Latex:
- \[E = \frac{L I_\text{max}^{2}}{2} \cos^{2}{\left(\omega t + \varphi \right)}\]