Final answer:
The stored energy in an inductor depends on its inductance (L) and the square of the current (I^2) through it, with the formula being U_L = 1/2 LI^2. This energy does not depend on the sign of the current or its rate of change and is measured in joules.
Step-by-step explanation:
The stored energy in an inductor depends on the inductance and the current flowing through it. The energy (UL) stored in a magnetic field of an inductor is given by the equation UL = 1/2 LI2, where L is the self-inductance of the inductor and I is the current. This energy is proportional to the square of the current (I2) and is also proportional to the inductance (L), but it does not depend on the sign of the current nor directly on the rate of change of current. The units of energy are joules (J), and the units of inductance are henrys (H), making the units of this energy expression joules, not joules per henry (J/H).