Energy Stored In An Inductor — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Energy stored in an Inductor Used to find the energy required to establish a current I in an inductor or the energy released when the current drops to zero. Work done to increase current is dW = P dt = V I dt Substitute induced EMF magnitude V = L (dI/dt) dW = (L dI/dt) I dt = L I dI Integrate dW from 0 to I: Integral of L I dI = 1/2 L I 2 Inductance L must be constant (not a function of current, i.e., no core saturation) Assumes an ideal inductor with zero resistance for pure energy storage calculation Non-relativistic conditions Confusing magnetic energy storage in inductors with electric energy storage in capacitors (1/2 CV 2) Thinking energy depends on the rate of change of current (dI/dt) rather than the instantaneous value of current (I) Forgetting the 1/2 factor in the formula