Self-induced electromotive force via time derivative of current¶

Expression for the self-induced emf can be derived from the Faraday’s law featuring the time derivative of current flowing through the circuit.

Links:

Wikipedia, formula in box.

time¶: time.

Symbol:: t
Latex:: \(t\)
Dimension:: time

electromotive_force¶: Self-induced electromotive_force as a function of time.

Symbol:: E(t)
Latex:: \(\mathcal{E}{\left(t \right)}\)
Dimension:: voltage

inductance¶: inductance of the circuit.

Symbol:: L
Latex:: \(L\)
Dimension:: inductance

current¶: current in the circuit as a function of time.

Symbol:: I(t)
Latex:: \(I{\left(t \right)}\)
Dimension:: current

law¶

E(t) = -L * Derivative(I(t), t)

Latex:: \[\mathcal{E}{\left(t \right)} = - L \frac{d}{d t} I{\left(t \right)}\]