The Power of Superposition

Instead of solving for new integration constants at every switch event, we track the response components globally:

  • ZIR $i_{zi}(t)$: The initial energy present at $t=0$ decaying through all future circuit topologies.
  • ZSR $i_{zs}(t)$: The response to the input injected later, assuming initial energy was zero.

Interactive Parameters

Mathematical Formulation

Transient Response Plot

The total current (green) is the exact sum of the ZIR (blue) and ZSR (orange) components.