The voltage difference measured across a 15 millihenry inductor is determined by the rate of change of current flowing through it. An inductor resists changes in current; therefore, a changing current induces a voltage. This induced voltage, also known as the back EMF, opposes the change in current. The magnitude of this voltage is directly proportional to the inductance value (15 mH in this case) and the rate at which the current changes with respect to time. For example, if the current through the inductor increases linearly at a rate of 1 Ampere per second, the potential difference would be 15 millivolts.
Understanding this voltage is crucial in circuit design for several reasons. It allows for prediction and control of circuit behavior, particularly in applications such as power supplies, filters, and energy storage systems. Historically, the behavior of inductors was essential to the development of radio technology and continues to be vital in modern electronics. Controlling the potential difference across an inductor prevents unwanted voltage spikes and ensures stable operation of circuits, leading to increased efficiency and reliability.
