Final answer:
The energy stored in an inductor with current I and inductance L is given by the equation Eind = ½ LI². This energy is directly proportional to the square of the current I and the inductance L of the inductor.
Step-by-step explanation:
The equation that gives the amount of energy stored in an inductor with current I and inductance L is Eind = ½ LI². This formula calculates the energy stored in the magnetic field of the inductor, which increases as the current through the inductor increases. For instance, if an inductor has a self-inductance of 0.632 mH and a current of 30.0 A flows through it, the stored energy can be calculated using the given formula.
It's important to note that the inductance L is typically a given quantity, although it can be calculated based on the geometry and magnetic field of the inductor in some cases, such as a solenoid. The energy stored in the inductor is directly proportional to both the current I and the inductance L, illustrating its dependence on these two important parameters.