1 henry (1 H) of self-inductance is the inductance of a coil in which a change in current of 1 ampere per second produces an electromotive force (EMF) of 1 volt.
Mathematically, the self-inductance \(L\) is related to the induced voltage \(V\) and the rate of change of current \(\frac{dI}{dt}\) by the equation:
\[
V = L \times \frac{dI}{dt}
\]
Where:
- \(V\) is the induced voltage in volts,
- \(L\) is the self-inductance in henries,
- \(\frac{dI}{dt}\) is the rate of change of current in amperes per second.
Therefore, 1 henry is defined as the self-inductance of a coil where an increase of 1 ampere per second in current results in an induced voltage of 1 volt.