What is the equation that relates induced voltage to inductance?

The equation that relates induced voltage to inductance is E = L(dI/dt), where E represents the induced voltage (or electromotive force), L is the inductance measured in henries, and dI/dt is the rate of change of current over time. This relationship is a key principle in electromagnetism and is derived from Faraday's law of electromagnetic induction.

When the current flowing through an inductor changes, it induces a voltage across the inductor due to its time-varying magnetic field. The inductance L quantifies how effectively the inductor can convert changes in current into voltage. The faster the current changes (i.e., the greater the value of dI/dt), the larger the induced voltage will be. This principle is fundamental in understanding how inductors function within electrical circuits, including applications such as transformers and electromagnetic devices.

The other equations mentioned pertain to different relationships in electrical circuits: V = IR describes Ohm's law, relating voltage, current, and resistance, while P = IV is the power equation, relating power, current, and voltage. I = V/R is another manifestation of Ohm's law, focusing on current in terms of voltage and resistance. These relationships serve different purposes and